List
In Press
Griffiths E, Bargmann S and Reddy BD, Elastic behaviour at the nanoscale of innovative composites of nanoporous gold and polymer Extreme Mechanics Letters
de Villiers AM, McBride AT, Reddy, BD, Franz T and Spottiswoode BS, A validated patient-specific FSI model for vascular access in haemodialysis Biomechanics and Modeling in Mechanobiology
Ebobisse F, Neff P, Forest S, Well-posedness for the microcurl model in both single and polycrystal gradient plasticity. International Journal of Plasticity
Malahe M, An efficient spectral crystal plasticity solver for GPU architectures. Computational Mechanics DOI: 10.1007/s00466-018-1565-x
Rasolofoson F, Grieshaber B and Reddy BD, Finite element approximations for near-incompressible and near-inextensible transversely isotropic bodies. International Journal for Numerical Methods in Engineering
Reddy BD, Modelling, analysis and computation in plasticity. Acta Mathematica Sinica
Mhlongo NP and Reddy BD, Numerical investigations of strain-gradient plasticity with reference to non-homogeneous deformations. European Journal of Mechanics - A/Solids
Grieshaber BJ, Reddy BD and Rasolofoson F, Discontinuous Galerkin approximations for near-incompressible and near-inextensible transversely isotropic bodies. Computers and Mathematics with Applications
2018
Articles
Ebobisse F, Neff P, Aifantis EC, Existence result for a dislocation based model of single crystal gradient plasticity with isotropic or linear kinematic hardening, The Quarterly Journal of Mechanics and Applied Mathematics, 71(1) (2018) 99-124.
McBride AT, Reddy BD and Steinmann P, Dissipation-consistent modelling and classification of extended plasticity formulations. Journal of the Mechanics and Physics of Solids 119 (2018) 118-139.
Pond D, McBride AT, Davids JM, Reddy BD and Limbert G, Constitutive modeling of the skin accounting for ageing. Journal of Theoretical Biology 444 (2018) 108—123.
Musehane NM, Oxtoby OF and Reddy BD, Multi-scale simulation of droplet-droplet interaction and coalescence. Journal of Computational Physics 373 (2018) 924 – 939.
2017
Articles
Carstensen C, Ebobisse F, McBride AT, Reddy BD and Steinmann P, Some properties of the dissipative model of strain-gradient plasticity. Philosophical Magazine 97 2017 693-717. http://dx.doi.org/10.1080/14786435.2016.1274836
Wriggers P, Reddy BD, Rust W and Hudobivnik B, Efficient virtual element formulations for compressible and incompressible finite deformations. Computational Mechanics 60 2017 253-268. http://dx.doi.org/10.1007/s00466-017-1405-4
In book
Carstensen C, Ebobisse F, McBride AT, Reddy BD and Steinmann P, Flow relations and yield functions for dissipative strain-gradient plasticity. In Mathematical Modelling in Solid Mechanics (dell'Isol F, Sofonea M and Steigmann D (eds.)), Springer, Berlin 2017 31-42. DOI: 10.1007/978-981-10-3764-1_3
Reddy BD, Mathematical foundations of elastoplastic deformations in solids. In Encyclopedia of Computational Mechanics, Second Edition (Stein E, de Borst R and Hughes TJR, eds), John Wiley 1 2017 1-27. Online ISBN: 9781119176817. DOI: 10.1002/9781119176817
2016
Articles
Bayerschen E, McBride A, Reddy BD and Böhlke T, Review on slip transmission criteria in experiments and crystal plasticity models. Journal of Materials Science 55, 2243 - 2258, 2016 [DOI: http://10.1007/s10853-015-9553-4]
Bogaers AEJ, Kok S, Reddy BD and Franz T, An evaluation of quasi-Newton methods for application to FSI problems involving free surface flow and solid body contact. Computers and Structures 173 (2016) 71 – 83.
Carstensen C, Reddy BD and Schedensack M, A natural nonconforming method for the Bingham flow problem is quasi-optimal. Numerische Mathematik 133 (2016) 37 – 66. http://dx.doi.org/10.1007/s00211-015-0738-1
De Lorenzis L, McBride A and Reddy BD, Phase-field modeling of fracture in single crystal plasticity. GAMM Mitteilungen 39 (2016) 7 – 34.
Gottschalk D, McBride A, Reddy BD, Javili A, Wriggers P, Hirschberger CB, Computational and theoretical aspects of a grain-boundary model that accounts for grain misorientation and grain-boundary orientation. Computational Materials Science, Vol. 111, pp. 443-459, 2016. [DOI: 10.1016/j.commatsci.2015.09.048]
Gurtin ME and Reddy BD, Some issues associated with the intermediate space in single--crystal plasticity. Journal of the Mechanics and Physics of Solids 95 (2016) 230 – 238.
McBride AT, Gottschalk D, Reddy BD, Wriggers P and Javili A, Computational and theoretical aspects of a grain-boundary model at finite deformations. Technische Mechanik 36 (2016) 102–119.
Reddy BD, Mathematical foundations of elastoplastic deformations in solids. In Encyclopedia of Computational Mechanics (Stein E, de Borst R and Hughes TJR, eds), John Wiley (2016) (in press).
Reddy BD, Functional Analysis, Boundary Value Problems, and Finite Elements. In Advanced Finite Element Technologies (Wriggers P and Schröder J, eds) CISM Course and Lecture Notes, Springer, Wien (2016) 1–15.
Reddy BD, Three-Field Mixed Finite Element Methods in Elasticity. In Advanced Finite Element Technologies (Wriggers P and Schröder J, eds) CISM Course and Lecture Notes, Springer, Wien (2016) 53 –68.
Reddy BD, Theoretical and Numerical Elastoplasticity. In Advanced Finite Element Technologies (Wriggers P and Schröder J, eds) CISM Course and Lecture Notes, Springer, Wien (2016) 177–194.
Ssozi EN, Reddy BD and van Zyl JE, Effect of viscoelastic deformation on the pressure-leakage behavior of plastic pipes. Journal of Hydraulic Engineering 142 (3), 2016
Wakeni MF, Reddy BD and McBride AT, An unconditionally stable algorithm for generalized thermoelasticity based on operator-splitting and time-discontinuous Galerkin finite element methods. Computer Methods in Applied Mechanics and Engineering 306 (2016) 427–451.
Wakeni MF, Reddy BD, McBride AT, A thermodynamically consistent formulation of generalized thermoelasticity at finite deformations. International Journal of Engineering Science, 108, 1 - 8, 2016
Wriggers P, Rust W and Reddy BD, A virtual element method for contact. In Computational Mechanics 58, 1039 - 1050, 2016
In book
Reddy BD, Three-Field Mixed Finite Element Methods in Elasticity. In Advanced Finite Element Technologies (Wriggers P and Schröder J, eds) CISM Course and Lecture Notes, Springer, Wien, 1 - 15, 2016
Reddy BD, Theoretical and Numerical Elastoplasticity. In Advanced Finite Element Technologies (Wriggers P and Schröder J, eds) CISM Course and Lecture Notes, Springer, Wien, 77 - 194, 2016
Reddy BD, Three-Field Mixed Finite Element Methods in Elasticity. In Advanced Finite Element Technologies (Wriggers P and Schröder J, eds) CISM Course and Lecture Notes, Springer, Wien, 1 - 15, 2016
2015
Articles
Carstensen C, Reddy BD and Schedensack M, A natural nonconforming method for the Bingham flow problem is quasi-optimal. Numerische Mathematik [DOI: 10.1007/s00211-015-0738-1]
T. Chinyoka and O.D. Makinde, Unsteady and porous media flow of reactive non-Newtonian fluids subjected to buoyancy and suction/injection. International Journal of Numerical Methods for Heat and Fluid Flow 25, 1682 -1704, 2015a
T. Chinyoka and O.D. Makinde, Buoyancy effects on unsteady MHD flow of a reactive third-grade fluid with asymmetric convective cooling. Journal of Applied Fluid Mechanics 8, 931 - 941, 2015b
L. Anand, M. Gurtin and B. Reddy, The stored energy of cold work, thermal annealing, and other thermodynamic issues in single crystal plasticity at small length scales. International Journal of Plasticity , Vol. 64, pp. 1 - 25, 2015. [DOI: 10.1016/j.ijplas.2014.07.009 ]
A.E.J. Bogaers, S. Kok, B.D. Reddy and T. Franz, Extending the robustness and efficiency of artificial compressibility for partitioned fluid-structure interactions. Computer Methods in Applied Mechanics and Engineering , Vol. 283, pp. 1278-1295, 2015. [DOI: 10.1016/j.cma.2014.08.021 ]
Grieshaber BJ, McBride AT and Reddy BD, Uniformly convergent interior penalty methods using multilinear approximations, for problems in elasticity. SIAM Journal on Numerical Analysis 53 (2015) 2255–2278. [DOI: 10.1137/140966253]
A. Javili, G. Chatzigeorgiou, A.T. McBride, P. Steinmann and C. Linder, Computational homogenization of nano-materials accounting for size effects via surface elasticity. GAMM-Mitteilungen , Vol. 38, pp. 285-312, 2015. [DOI: 10.1002/gamm.201510016 ]
A. McBride, S. Bargmann and B. Reddy, A computational investigation of a model of single-crystal gradient thermoplasticity that accounts for the stored energy of cold work and thermal annealing. Computational Mechanics , 2015. [DOI: 10.1007/s00466-015-1134-5 ]
R. Pauck and B. Reddy, Computational analysis of the radial mechanical performance of PLLA coronary artery stents . Medical Engineering & Physics , Vol. 37, pp. 7-12, 2015. [DOI: 10.1016/j.medengphy.2014.09.014 ]
M.S. Sirry, N.H. Davies, K. Kadner, L. Dubuis, M.G. Saleh, E.M. Meintjes, B.S. Spottiswoode, P. Zilla and T. Franz, Micro-structurally detailed model of a therapeutic hydrogel injectate in a rat biventricular cardiac geometry for computational simulations. Computer Methods in Biomechanics and Biomedical Engineering , Vol. 18, pp. 325-331, 2015. [DOI: 10.1080/10255842.2013.793765 ]
S. Skatulla, C. Sansour and M. Hjiaj, On computational shells with scale effects. Computer Methods in Applied Mechanics and Engineering , Vol. 283, pp. 46-73, 2015. [DOI: 10.1016/j.cma.2014.08.001 ]
In book
Reddy BD, Functional Analysis, Boundary Value Problems, and Finite Elements. In Advanced Finite Element Technologies (Wriggers P and Schröder J, eds) CISM Course and Lecture Notes, Springer, Wien, 53 - 68, 2015
2014
Articles
H. Appa, D.A. Deglon and C.J. Meyer, Numerical modelling of mass transfer in an autoclave. Hydrometallurgy , Vol. 147, pp. 234-240, 2014. [DOI: 10.1016/j.hydromet.2014.04.014 ]
S. Bargmann, B. Reddy and B. Klusemann, A computational study of a model of single-crystal strain-gradient viscoplasticity with an interactive hardening relation. International Journal of Solids and Structures , Vol. 51, pp. 2754 - 2764, 2014. [DOI: 10.1016/j.ijsolstr.2014.03.010 ]
A. Bogaers, S. Kok, B. Reddy and T. Franz, Quasi-Newton methods for implicit black-box FSI coupling. Computer Methods in Applied Mechanics and Engineering , Vol. 279, pp. 113 - 132, 2014. [DOI: 10.1016/j.cma.2014.06.033 ]
A. Chama and B. Reddy, Stability and convergence of two three-field finite element formulations for elasticity. Computational Methods in Applied Mathematics , Vol. 14, pp. 305-316, 2014. [DOI: 10.1515/cmam-2014-0014 ]
T. Chinyoka, S. Dhliwayo, L. Marabini, K. Dutlow, G. Matope and D.M. Pfukenyi, Serological survey of Brucella canis in dogs in urban Harare and selected rural communities in Zimbabwe. Journal of the South African Veterinary Association-Tydskrif Van Die Suid-Afrikaanse Veterinere Vereniging , Vol. 85, 2014. [DOI: 10.4102/jsava.v85i1.1087 ]
T. Chinyoka and O.D. Makinde, Analysis of non-Newtonian flow with reacting species in a channel filled with a saturated porous medium. Journal of Petroleum Science and Engineering , Vol. 121, pp. 1-8, 2014. [DOI: 10.1016/j.petrol.2014.07.004 ]
T. Chinyoka and O.D. Makinde, Computational dynamics of arterial blood flow in the presence of magnetic field and thermal radiation therapy. Advances in Mathematical Physics , 2014. [DOI: 10.1155/2014/915640 ]
T.J. Cloete, G. Paul and E.B. Ismail, Hopkinson bar techniques for the intermediate strain rate testing of bovine cortical bone. Philosophical Transactions of the Royal Society, A , Vol. 372, 2014. [DOI: 10.1098/rsta.2013.0210 ]
I. Donev and B. Reddy, Time-dependent finite element simulations of a shear-thinning viscoelastic fluid with application to blood flow. International Journal for Numerical Methods in Fluids , Vol. 75, pp. 668-686, 2014. [DOI: 10.1002/fld.3914 ]
T. Franz, Computational mechanics and electro-mechanics in cardiovascular physiology and disease. International Journal for Numerical Methods in Biomedical Engineering , pp. 0, 2014. [DOI: 10.1002/cnm.2617 ]
T. Franz, Does cell mechanics in adipogenesis offer new keys for the prevention and management of obesity?. Biophysical Journal , Vol. 106, pp. 1231-1232, 2014. [DOI: 10.1016/j.bpj.2014.01.004 ]
M. Gurtin and B. Reddy, Gradient single-crystal plasticity within a Mises-Hill framework based on a new formulation of self- and latent-hardening. Journal of the Mechanics and Physics of Solids , Vol. 68, pp. 134 - 160, 2014. [DOI: 10.1016/j.jmps.2014.01.002 ]
A. Javili, A. McBride, P. Steinmann and B. Reddy, A unified computational framework for bulk and surface elasticity theory: a curvilinear-coordinate-based finite element methodology. Computational Mechanics , Vol. 54, pp. 745-762, 2014. [DOI: 10.1007/s00466-014-1030-4 ]
J. Kortsmit, N. Davies, R. Miller, P. Zilla and T. Franz, Computational predictions of improved of wall mechanics and function of the infarcted left ventricle at early and late remodelling stages: comparison of layered and bulk hydrogel injectates. Advances in Biomechanics and Applications , Vol. 1, 2014. [DOI: 10.12989/aba.2013.1.1.041 ]
D. Legner, S. Skatulla, J. MBewu, R. Rama, B. Reddy, C. Sansour, N. Davies and T. Franz, Studying the influence of hydrogel injections into the infarcted left ventricle using the element-free Galerkin method. International Journal for Numerical Methods in Biomedical Engineering , Vol. 30, pp. 416-429, 2014. [DOI: 10.1002/cnm.2610 ]
M.M. MacDevette, T.G. Myers and B. Wetton, Boundary layer analysis and heat transfer of a nanofluid. Microfluidics and Nanofluidics , Vol. 17, pp. 401-412, 2014. [DOI: 10.1007/s10404-013-1319-1 ]
T.G. Myers, M.M. MacDevette, F. Font and V. Cregan, Continuum mathematics at the nanoscale. Journal of Mathematics in Industry , Vol. 4, pp. 11, 2014
J.-P. Pelteret and B. Reddy, Development of a computational biomechanical model of the human upper-airway soft-tissues toward simulating obstructive sleep apnea. Clinical Anatomy , Vol. 27, pp. 182-200, 2014. [DOI: 10.1002/ca.22313 ]
T. Povall, A. McBride and B. Reddy, Finite element simulation of large-strain single-crystal viscoplasticity: An investigation of various hardening relations . Computational Materials Science , Vol. 81, pp. 386-396, 2014. [DOI: 10.1016/j.commatsci.2013.08.043 ]
J. van Zyl and A. Cassa, Modeling elastically deforming leaks in water distribution pipes. Journal of Hydraulic Engineering , Vol. 140, pp. 182-189, 2014. [DOI: 10.1061/(ASCE)HY.1943-7900.0000813 ]
Books
T. Franz, Cardiovascular and Cardiac Therapeutic Devices. , 2014. [DOI: 10.1007/978-3-642-53836-0 ]
In book
T. Franz, M.H. de Vaal, J. Neville, J. Scherman, M. Litow and P. Zilla, In Vivo Mechanical Loading Conditions of Pectorally Implanted Cardiac Pacemakers. Edited by T. Franz , Springer , pp. 27-38, 2014. [DOI: 10.1007/8415_2013_160 ]
H. Krynauw, L. Bruchmller, D. Bezuidenhout, P. Zilla and T. Franz, Constitutive Effects of Hydrolytic Degradation in Electro-Spun Polyester-Urethane Scaffolds for Soft Tissue Regeneration. Edited by P.R. Fernandes and J.R. Bartolo , Springer , pp. 49-67, 2014. [DOI: 10.1007/978-94-007-7073-7_3 ]
M.S. Yeoman, B.D. Reddy, D. Bezuidenhout, H.C. Bowles, P. Zilla and T. Franz, Development of a Fabric-Reinforced Porous Graft for Vascular Tissue Engineering using Finite Element Methods and Genetic Algorithms. Edited by T. Franz , Springer , pp. 29-62, 2014. [DOI: 10.1007/8415_2013_162 ]
In proceedings
B. Reddy, Numerical approximation of variational inequalities arising in elastoplasticity. Proceedings of the International Congress of Mathematicians, 2014
2013
Articles
H. Appa, D.A. Deglon and C.J. Meyer, Numerical modelling of hydrodynamics and gas dispersion in an autoclave. Hydrometallurgy, Vol. 131, pp 67-75, 2013. [DOI: 10.1016/j.hydromet.2012.10.006]
M. Bracher, D. Bezuidenhout, M.P. Lutolf, T. Franz, M. Sun, P. Zilla and N.H. Davies, Cell specific ingrowth hydrogels . Biomaterials , Vol. 34, pp 6797-6803, 2013. [DOI: 10.1016/j.biomaterials.2013.05.057]
A.M. Cassa and J.E. van Zyl, Predicting the pressure-leakage slope of cracks in pipes subject to elastic deformations. Journal of Water Supply: Research and Technology - AQUA, Vol. 62, pp 214-223, 2013. [DOI: 10.2166/aqua.2013.094]
A. Chama and B.D. Reddy, New stable mixed finite element approximations for problems in linear elasticity. Computer Methods in Applied Mechanics and Engineering, Vol. 256, pp 211-223, 2013. [DOI: 10.1016/j.cma.2012.12.006]
T. Chinyoka, S.P. Goqo and B.I. Olajuwon, Computational analysis of gravity driven flow of a variable viscosity viscoelastic fluid down an inclined plane . Computers & Fluids, Vol. 84, pp 315-326, 2013. [DOI: 10.1016/j.compfluid.2013.06.022]
T. Chinyoka and O.D Makinde, Computational analysis of CO2 emission, O2 depletion and thermal decomposition in a cylindrical pipe filled with reactive materials . Communications in Nonlinear Science and Numerical Simulation, Vol. 18, pp 2448-2461, 2013. [DOI:10.1016/j.cnsns.2013.01.018]
T. Chinyoka and O.D. Makinde, Viscoelastic modeling of the diffusion of polymeric pollutants injected into a pipe flow. Acta Mechanica Sinica, Vol. 29, pp 166-178, 2013. [DOI: 10.1007/s10409-013-0016-3]
T. Chinyoka and O.D. Makinde, Numerical investigation of entropy generation in unsteady MHD generalized couette flow with variable electrical conductivity. The Scientific World Journal, 2013. [DOI: 10.1155/2013/364695]
T. Chinyoka and O.D. Makinde, Analysis of entropy generation rate in an unsteady porous channel flow with navier slip and cooling, convective cooling. Entropy, Vol. 15, pp 2081-2099, 2013. [DOI: 10.3390/e15062081]
I. Govender, P.W. Cleary and A.N. Mainza, Comparisons of PEPT derived charge features in wet milling environments with a friction-adjusted DEM model. Chemical Engineering Science, Vol. 97, pp 162-175, 2013. [DOI: 10.1016/j.ces.2013.04.023]
I.E. Ireka and T. Chinyoka, Non-isothermal flow of a Johnson-Segalman liquid in a lubricated pipe with wall slip. Journal of Non-Newtonian Fluid Mechanics, Vol. 192, pp 20-28, 2013. [DOI: 10.1016/j.jnnfm.2012.11.001]
A. Javili, A. McBride, J. Mergheim, P. Steinmann and U. Schmidt, Micro-to-macro transitions for continua with surface structure at the microscale . International Journal of Solids and Structures , Vol. 50, pp 2561-2572, 2013. [DOI: 10.1016/j.ijsolstr.2013.03.022]
A. Javili, A. McBride and P. Steinmann, Numerical modelling of thermomechanical solids with highly conductive energetic interfaces.International Journal for Numerical Methods in Engineering, Vol. 93, pp 551-574, 2013. [DOI: 10.1002/nme.4402]
Y. Kajee, J-P.V. Pelteret and B.D. Reddy, The biomechanics of the human tongue. International Journal for Numerical Methods in Biomedical Engineering, Vol. 29, pp 492-514, 2013. [DOI: 10.1002/cnm.2531]
J. Kortsmit, N.H. Davies, R. Miller, J.R. Macadangdang, P. Zilla and T. Franz, The effect of hydrogel injection on cardiac function and myocardial mechanics in a computational post-infarction model. Computer Methods in Biomechanics and Biomedical Engineering, Vol. 16, pp 1185-1195, 2013. [DOI: 10.1080/10255842.2012.656611]
Bishnu P. Lamichhane, A.T. McBride and B.D. Reddy, A finite element method for a three-field formulation of linear elasticity based on biorthogonal systems . Computer Methods in Applied Mechanics and Engineering , Vol. 258, pp 109-117, 2013. [DOI:10.1016/j.cma.2013.02.008]
O.D. Makinde and T. Chinyoka, Numerical investigation of buoyancy effects on hydromagnetic unsteady flow through a porous channel with suction/injection. Journal of Mechanical Science and Technology, Vol. 27, pp 1557-1568, 2013. [DOI: 10.1007/s12206-013-0221-9]
O.D. Makinde, T. Chinyoka and A.S. Eegunjobi, Numerical investigation of entropy generation in an unsteady flow through a porous pipe with suction. International Journal of Exergy, Vol. 12, pp 279-297, 2013. [DOI: 10.1504/IJEX.2013.054114]
O.D. Makinde, W.D. Khan and T. Chinyoka, New developments in fluid mechanics and its engineering applications. Mathematical Problems in Engineering, Vol. 2013, 2013. [DOI: 10.1155/2013/797390]
R. Miller, N.H. Davies, J. Kortsmit, P. Zilla and T. Franz, Outcomes of myocardial infarction hydrogel injection therapy in the human left ventricle dependent on injectate distribution. International Journal for Numerical Methods in Biomedical Engineering, Vol. 29, pp 870-884, 2013. [DOI: 10.1002/cnm.2551]
J-P.V. Pelteret and B.D. Reddy, Development of a computational biomechanical model of the human upper-airway soft-tissues toward simulating obstructive sleep apnea. Clinical Anatomy, Vol. 27, pp 182-200, 2013. [DOI: 10.1002/ca.22313]
B.D. Reddy, Variational formulations for single-crystal strain-gradient plasticity at large deformations. GAMM Mitteilungen, Vol. 36, pp 149-160, 2013. [DOI: 10.1002/gamm.201310009]
B.D. Reddy, Some theoretical and computational aspects of single-crystal strain-gradient plasticity. ZAMM, Vol. 93, pp 844-867, 2013. [DOI: 10.1002/zamm.201200101]
C. Sansour, S. Skatulla and M. Hjiaj, A shell theory with scale effects and higher order gradients . International Journal of Solids and Structures, Vol. 50, pp 2271-2280, 2013. [DOI: 10.1016/j.ijsolstr.2013.03.031]
C. Sansour, S. Skatulla and M. Hjiaj, A shell theory with scale effects and higher order gradients . International Journal of Solids and Structures , Vol. 50, pp 2271-2280, 2013. [DOI: 10.1016/j.ijsolstr.2013.03.031]
M.S. Sirry, N.H. Davies, K. Kadner, L. Dubuis, M.G. Saleh, E.M. Meintjes, B.S. Spottiswoode, P. Zilla and T. Franz, Micro-structurally detailed model of a therapeutic hydrogel injectate in a rat biventricular cardiac geometry for computational simulations. Computer Methods in Biomechanics and Biomedical Engineering, 2013. [DOI: 10.1080/10255842.2013.793765]
S. Skatulla and C. Sansour, A formulation of a Cosserat-like continuum with multiple scale effects . Computational Materials Science, Vol. 67, pp 113-122, 2013. [DOI: 10.1016/j.commatsci.2012.08.040]
Books
W. Han and B.D. Reddy, Plasticity: Mathematical Theory and Numerical Analysis. Springer, New York, 2013. [DOI: 10.1007/978-1-4614-5940-8]
In Book
D. Davydov, A. Javili, P. Steinmann and A. McBride, Surface Effects in Solid Mechanics: A Comparison of Atomistic and Surface Enhanced Continuum Approaches at Finite Temperature. Edited by H. Altenbach and N.F. Morozov. Springer-Verlag, 2013, pp 43-57. [DOI: 10.1007/978-3-642-35783-1_4]
S.C. Jasinoski, M.A. Cluver, A. Chinsamy and B.D Reddy, Anatomical plasticity in the snout of Lystrosaurus. Edited by C.F. Kammerer, K.D. Angielczyk and J. Frobisch. Springer, New York, 2013, Chapter 8, pp 139-149. [DOI: 10.1007/978-94-007-6841-3_8]
M.S. Yeoman, B.D. Reddy, D. Bezuidenhout, H.C. Bowles, P. Zilla and T. Franz, Development of a fabric-reinforced porous graft for vascular tissue engineering using finite element methods and genetic algorithms. Edited by A. Gefen. Springer, 2013. [DOI:10.1007/8415_2013_162]
In Proceedings
M. Essack and S. Skatulla, Identification of nonlinear hyperelastic material parameters for healthy myocardial tissue via an inverse method based on modelling the passive filling stage of the cardiac cycle. Proceedings of the V International Conference on Structural Engineering, Mechanics and Computation, Cape Town, South Africa,, 2013.
S. Goqo, R. Tait, S. Skatulla and T. Becker, Optimisation of the double torsion test geometry. Proceedings of the V International Conference on Structural Engineering, Mechanics and Computation, Cape Town, South Africa,, 2013.
K. Sack, S. Skatulla and C. Sansour, Biological tissue mechanics with fibres modelled as one-dimensional Cosserat continua: Applications to cardiac tissue in healthy and diseased states. Proceedings of the V International Conference on Structural Engineering, Mechanics and Computation, Cape Town, South Africa,, 2013.
K. Sack, S. Skatulla and C. Sansour, Biological tissue mechanics with fibres modelled as one-dimensional Cosserat Continua. Applications to cardiac tissue in healthy and diseased states. Proceedings of the 3rd African Conference on Computational Mechanics, Livingstone, Zambia, 2013.
S. Skatulla, D. Legner, R.R. Rama, J. Mbewu, C. Sansour, B.D. Reddy, N. Davies and T. Franz, Studying the impact of the Injection therapy for myocardial infarction on the heart's performance. Proceedings of 3rd South-East European Conference on the Computational Mechanics (SEECCM III), Kos, Greece, 2013.
S. Skatulla, D. Legner, R.R. Rama, J. Mbewu, N. Sansour, C., Davies and T. Franz, Computational study of the injection therapy for myocardial infarction during the necrotic stage. Proceedings of 10th IASTED International Conference on Biomedical Engineering, Innsbruck, Austria, 2013. [DOI: 10.2316/P.2013.791-066]
J.E. Van Zyl, M.O.A. Alsaydalani, C.R.I. Clayton, T. Bird and A. Dennis, Soil fluidisation outside leaks in water distribution pipes - preliminary observations. Proceedings of the Institution of Civil Engineers: Water Management, 2013.
2012
Articles
A.R. Appadu, Investigating the shock-capturing properties of some composite numerical schemes for the 1-D linear advection equation.International Journal of Computer Applications in Technology, Vol. 43, pp 79-79, 2012. [DOI: 10.1504/IJCAT.2012.046038]
A.R. Appadu, Comparison of some optimisation techniques for numerical schemes discretising equations with advection terms.International Journal of Innovative Computing and Applications, Vol. 4, pp 12-12, 2012. [DOI: 10.1504/IJICA.2012.045701]
A.R. Appadu, Optimised composite numerical schemes in 2-D for hyperbolic conservation laws. International Journal for Numerical Methods in Fluids, Vol. 69, pp 1522-1549, 2012. [DOI: 10.1002/fld.2652]
M. Bickell, A. Buffler, I. Govender and D.J. Parker, A new line density tracking algorithm for PEPT and its application to multiple tracers. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment , Vol. 682, pp 36-41, 2012. [DOI: 10.1016/j.nima.2012.04.037]
T. Chinyoka and O.D. Makinde, On transient flow of a reactive variable viscosity third-grade fluid through a cylindrical pipe with convective cooling. Meccanica, Vol. 47, pp 667-685, 2012. [DOI: 10.1007/s11012-011-9476-3]
T. Chinyoka and O.D. Makinde, Unsteady hydromagnetic flow of a reactive variable viscosity third-grade fluid in a channel with convective cooling. International Journal for Numerical Methods in Fluids, Vol. 69, pp 353-365, 2012. [DOI: 10.1002/fld.2562]
K.E. Cole, A. Buffler, N.P. van der Meulen, J.J. Cilliers, J-P. Franzidis, I. Govender, C. Liu and M.R. van Heerden, Positron emission particle tracking measurements with 50 micron tracers . Chemical Engineering Science , Vol. 75, pp 235-242, 2012. [DOI:10.1016/j.ces.2012.02.053]
J.K. Djoko and BD Reddy, Existence results for a polymer melt with an evolving natural configuration. Mathematical Models and Methods in Applied Sciences, Vol. 22, pp 1150004-1150004, 2012. [DOI: 10.1142/S0218202512005873]
T. Franz, Computational and numerical modelling in neuromechanics and biomechanics.. International Journal for Numerical Methods in Biomedical Engineering, Vol. 28, pp 1001-1001, 2012. [DOI: 10.1002/cnm.2514]
S.C. Jasinoski and B.D. Reddy, Mechanics of cranial sutures during simulated cyclic loading . Journal of Biomechanics , Vol. 45, pp 2050-2054, 2012. [DOI: 10.1016/j.jbiomech.2012.05.007]
A. Javili, A.T. McBride, J. Mergheim, P Steinmann and U. Schmidt, Micro-to-macro transitions for continua with surface structure at the microscale. PAMM, Vol. 12, pp 23-26, 2012. [DOI: 10.1002/pamm.201210007]
A. Javili, A. McBride and P. Steinmann, Numerical modelling of thermomechanical solids with mechanically energetic (generalised) Kapitza interfaces. Computational Materials Science, Vol. 65, pp 542-551, 2012. [DOI: 10.1016/j.commatsci.2012.06.006]
A. Javili, A. McBride and P. Steinmann, Thermomechanics of solids with lower-dimensional energetics: on the importance of surface, interface and curve structures at the nanoscale. A unifying review. Applied Mechanics Reviews, Vol. 65, 2012. [DOI: 10.1115/1.4023012]
A. Javili, A. McBride, P. Steinmann and B.D. Reddy, Relationships between the admissible range of surface material parameters and stability of linearly elastic bodies. Philosophical Magazine, Vol. 92, pp 3540-3563, 2012. [DOI: 10.1080/14786435.2012.682175]
K. Kadner, S. Dobner, T. Franz, D. Bezuidenhout, M.S. Sirry, P. Zilla and N.H. Davies, The beneficial effects of deferred delivery on the efficiency of hydrogel therapy post myocardial infarction . Biomaterials , Vol. 33, pp 2060-2066, 2012. [DOI:10.1016/j.biomaterials.2011.11.031]
O.P. Layeni and J.V. Johnson, Hybrids of the heat balance integral method . Applied Mathematics and Computation , Vol. 218, pp 7431-7444, 2012. [DOI: 10.1016/j.amc.2012.01.001]
O.D. Makinde and T. Chinyoka, Analysis of unsteady flow of a variable viscosity reactive fluid in a slit with wall suction or injection.Journal of Petroleum Science and Engineering, Vol. 94, pp 1-11, 2012. [DOI: 10.1016/j.petrol.2012.06.023]
A. McBride, J. Mergheim, A. Javili, P. Steinmann and S. Bargmann, Micro-to-macro transitions for heterogeneous material layers accounting for in-plane stretch. Journal of the Mechanics and Physics of Solids, Vol. 60, pp 1221-1239, 2012. [DOI:10.1016/j.jmps.2012.01.003]
J-P.V. Pelteret and B.D. Reddy, Computational model of soft tissues in the human upper airway. International Journal for Numerical Methods in Biomedical Engineering, Vol. 28, pp 111-132, 2012. [DOI: 10.1002/cnm.1487]
B.D. Reddy, Mixed finite element methods. Notices of the South African Mathematical Society, Vol. 43, pp 57-88, 2012.
B.D. Reddy, C. Wieners and B. Wohlmuth, Finite element analysis and algorithms for single-crystal strain-gradient plasticity.International Journal for Numerical Methods in Engineering, Vol. 90, pp 784-804, 2012. [DOI: 10.1002/nme.3347]
M. Saleh, S-K. Sharp, A. Alhamud, B.S. Spottiswoode, A.J.W. van der Kouwe, N.H. Davies, T. Franz and E.M. Meintjes, Longterm left ventricular remodelling in rat model of non-reperfused myocardial infarction: sequential MR imaging using a 3t clinical scanner..Journal of Biomedicine and Biotechnology, 2012. [DOI: 10.1155/2012/504037]
S. Skatulla, C. Sansour and A. Arockiarajan, A multiplicative approach for nonlinear electro-elasticity . Computer Methods in Applied Mechanics and Engineering , Vol. 245, pp 243-255, 2012. [DOI: 10.1016/j.cma.2012.07.002]
P. Steinmann, A.T. McBride, S. Bargmann and A. Javili, A deformational and configurational framework for geometrically non-linear continuum thermomechanics coupled to diffusion. International Journal of Non-Linear Mechanics, Vol. 47, pp 215-227, 2012. [DOI:10.1016/j.ijnonlinmec.2011.05.009]
B. Weed, A. Borazjani, S. Patnaik, R. Prabhu, M.F. Horstemeyer, P.L. Ryan, T. Franz, L.N. Williams and J. Liao, Stress state and strain rate dependence of the human placenta. Annals of Biomedical Engineering, Vol. 40, pp 2255-2265, 2012. [DOI: 10.1007/s10439-012-0588-2]
In Book
B.D. Reddy and A.T. McBride, Introduction to Finite Element Analysis and Recent Developments. Edited by A. Patnaik and R.D. Anandjiwala. Nova Science Publishers, New York, 2012, Chapter 1, pp 1-28.
In Proceedings
O.P. Layeni and J.V. Johnson, Some explicit solutions for a class of one-phase Stefan problems. , Edited by Theodore E. Simos, George Psihoyios, Ch. Tsitouras and Zacharias Anastassi. 2012. [DOI: 10.1063/1.4756673]
E.M. Smuts, D.A. Deglon and C.J. Meyer, Methodology for coupled CFD-DEM modeling of particulate suspension rheology. Ninth International Conference on Computational Fluid Dynamics in the Minerals and Process Industries, 2012.
A. Thiart, G. Floweday and C. Meyer, A CFD Study of Fuel Evaporation and Related Thermo-fluid Dynamics in the Inlet Manifold, Port and Cylinder of the CFR Octane Engine. SAE 2012 International Powertrains, Fuels and Lubricants Meeting, 2012. [DOI: 10.4271/2012-01-1715]
2011
Articles
S. Bargmann, AT McBride and P. Steinmann, Models of solvent penetration in glassy polymers with an emphasis on case II diffusion. A comparative review. Applied Mechanics Reviews, Vol. 64, 2011.
S. Bargmann and B.D. Reddy, Modeling of polycrystals using a gradient crystal plasticity theory that includes dissipative micro-stresses.European Journal of Mechanics - A/Solids, Vol. 30, pp 719-730, 2011. [DOI: 10.1016/j.euromechsol.2011.04.006]
D.J. Brinkerhoff, T.W. Meierbachtol, J.V. Johnson and J.T. Harper, Sensitivity of the frozen/melted basal boundary to perturbations of basal traction and geothermal heat flux: Isunnguata Sermia, western Greenland. Annals of Glaciology, Vol. 52, pp 43-50, 2011. [DOI:10.3189/172756411799096330]
S.P. Carter, H.A. Fricker, D.D. Blankenship, J.V. Johnson, W.H. Lipscomb, S.F. Price and D.A. Young, Modeling 5 years of subglacial lake activity in the MacAyeal Ice Stream (Antarctica) catchment through assimilation of ICESat laser altimetry. Journal of Glaciology, Vol. 57, pp 1098-1112, 2011. [DOI: 10.3189/002214311798843421]
T. Chinyoka, Suction-Injection Control of Shear Banding in Non-Isothermal and Exothermic Channel Flow of Johnson-Segalman Liquids. Journal of fluids engineering, Vol. 133, 2011. [URL]
T. Chinyoka, Two-dimensional flow of chemically reactive viscoelastic fluids with or without the influence of thermal convection.Communications in Nonlinear Science and Numerical Simulation, Vol. 16, pp 1387-1395, 2011. [DOI: 10.1016/j.cnsns.2010.07.006]
T. Chinyoka and O.D. Makinde, Analysis of transient Generalized Couette flow of a reactive variable viscosity third-grade liquid with asymmetric convective cooling. Mathematical and Computer Modelling, Vol. 54, pp 160-174, 2011. [DOI: 10.1016/j.mcm.2011.01.047]
G. Floweday, S. Petrov, R.B. Tait and J. Press, Thermo-mechanical fatigue damage and failure of modern high performance diesel pistons.Engineering Failure Analysis, Vol. 18, pp 1664-1674, 2011. [DOI: 10.1016/j.engfailanal.2011.02.002]
Hugo Krynauw, Lucie Bruchmüller, Deon Bezuidenhout, Peter Zilla and Thomas Franz, Degradation-induced changes of mechanical properties of an electro-spun polyester-urethane scaffold for soft tissue regeneration. Journal of Biomedical Materials Research Part B: Applied Biomaterials, Vol. 99, pp 359-368, 2011. [DOI: 10.1002/jbm.b.31907]
OD Makinde, T. Chinyoka and RS Lebelo, Numerical investigation into CO2 emission, O2 depletion and thermal decomposition in a reacting slab. Mathematical Problems in Engineering, Vol. 2011, 2011. [DOI: 10.1155/2011/208426]
O.D. Makinde, T. Chinyoka and L. Rundora, Unsteady flow of a reactive variable viscosity non-Newtonian fluid through a porous saturated medium with asymmetric convective boundary conditions. Computers & Mathematics with Applications, Vol. 62, pp 3343-3352, 2011. [DOI: 10.1016/j.camwa.2011.08.049]
A.T. McBride, A. Javili, P. Steinmann and S. Bargmann, Geometrically nonlinear continuum thermomechanics with surface energies coupled to diffusion. Journal of the Mechanics and Physics of Solids, Vol. 59, pp 2116-2133, 2011. [DOI: 10.1016/j.jmps.2011.06.002]
MN Ngoepe, BD Reddy, D. Kahn, C. Meyer, P. Zilla and T. Franz, A Numerical Tool for the Coupled Mechanical Assessment of Anastomoses of PTFE Arterio-venous Access Grafts. Cardiovascular Engineering and Technology, Vol. 2, pp 160-172, 2011. [DOI:10.1007/s13239-011-0045-7]
B.D. Reddy, The role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. Part 2: single-crystal plasticity. Continuum Mechanics and Thermodynamics, Vol. 23, pp 551-572, 2011. [DOI: 10.1007/s00161-011-0195-8]
B.D. Reddy, The role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. Part 1: polycrystalline plasticity. Continuum Mechanics and Thermodynamics, Vol. 23, pp 527-549, 2011. [DOI: 10.1007/s00161-011-0194-9]
In Book
A.T. McBride, S. Bargmann and P. Steinmann, Lecture Notes in Applied and Computational Mechanics: Advances in Extended and Multifield Theories for Continua. Edited by B. Markert. Springer-Verlag, 2011, Chapter 5, pp 89-107.
B.D. Reddy and A.T. McBride, Modeling and Simulation in Fibrous Materials: Techniques and Applications. Edited by A. Patnaik. Nova Science Publishers, New York, 2011, Chapter 1, pp 1-28.
2010
Articles
C.W. Bakker, C.J. Meyer and D.A. Deglon, The development of a cavern model for mechanical flotation cells. Minerals Engineering, Vol. 23, pp 968-972, 2010.
L.S. Bbosa, I. Govender, A.N. Mainza and M.S. Powell, Power draw estimations in experimental tumbling mills using PEPT. Journal of Engineering Mining, 2010. [DOI: 10.1016/j.mineng.2010.10.005]
T. Chinyoka, Poiseuille flow of reactive Phan-Thien-Tanner liquids in 1D channel flow, Transactions of ASME. Journal of Heat Transfer, Vol. 132, pp 111701-111708, 2010.
T. Chinyoka and O.D. Makinde, Computational dynamics of unsteady flow of a variable viscosity reactive fluid in a porous pipe.Mechanics Research Communications, Vol. 37, pp 347-353, 2010.
T. Chinyoka and O.D. Makinde, Analysis of nonlinear dispersion of a pollutant ejected by an external source into a channel flow.Mathematical Problems in Engineering, 2010. [DOI: 10.1155/2010/827363]
P. Ebobisse and P. Neff, Existence and uniqueness for rate-independent gradient plasticity with isotropic hardening and plastic spin.Mathematics and Mechanics of Solids, Vol. 15, pp 691-703, 2010.
T. Franz, P. Human, S. Dobner, B.D. Reddy, M. Black, H. Ilsley, M.F. Wolf, D. Bezuidenhout, L. Moodley and P. Zilla, Tailored sizes of constrictive external vein meshes for coronary artery bypass surgery. Biomaterials, Vol. 31, pp 9301-9309, 2010.
T. Franz, B.D. Reddy, P. Human and P. Zilla, A mathematical method for constraint-based cluster analysis towards optimized constrictive diameter smoothing of saphenous vein grafts. Medical and Biological Engineering and Computing, Vol. 48, pp 519-529, 2010.
I. Govender, N. Mangesana, A.N. Mainza and Franzidis J.-P., Measurement of shear rates in a laboratory tumbling mill. Journal of Mining Engineering, 2010. [DOI: 10.1016/j.mineng.2010.08.009]
I. Govender, G.B. Tupper and A.N. Mainza, Towards a mechanistic model for slurry transport in tumbling mills. Journal of Mining Engineering, 2010. [DOI: 10.1016/j.mineng.2010.08.010]
S.C. Jasinoski, B.D. Reddy, K.K. Louw and A. Chinsamy, Mechanics of cranial sutures using the finite element method. Journal of Biomechanics, Vol. 34, pp 3104-3111, 2010.
C.T. Jayasundara, R.Y. Yang, B.Y. Guo, A.B. Yu, I. Govender, A. Mainza, A. van der Westhuizen and J. Rubenstein, CFD-DEM modelling of particle flow in IsaMills - comparison between simulations and PEPT measurements. Journal of Mining Engineering, 2010. [DOI:10.1016/j.mineng.2010.07.011]
D.V.V. Kallon, I. Govender and A.N Mainza, Circulation rate modelling of mill charge using position emission particle tracking. Journal of Engineering Mining, 2010. [DOI: 10.1016/j.mineng.2010.09.006]
T. Koch, B.D. Reddy, P. Zilla and T. Franz, Aortic valve leaflet mechanical properties facilitate diastolic valve function. Computer Methods in Biomechanics and Biomedical Engineering, Vol. 13, pp 225-234, 2010.
O.D. Makinde and T. Chinyoka, Numerical investigation of transient heat transfer to hydromagnetic channel flow with radiative heat and convective cooling. Communications in Nonlinear Science and Numerical Simulation, Vol. 15, pp 3919-3930, 2010.
O.D. Makinde and T. Chinyoka, Transient analysis of pollutant dispersion in a cylindrical pipe with a nonlinear waste discharge concentration. Computers and Mathematics with Applications, Vol. 60, pp 642-652, 2010.
O.D. Makinde and T. Chinyoka, MHD transient flows and heat transfer of dusty fluid in a channel with variable physical properties and Navier slip condition. Computers and Mathematics with Applications, Vol. 60, pp 660-669, 2010.
Mohamed, H.B.H and B.D. Reddy, Some properties of models for generalized Oldroyd-B fluids. International Journal of Engineering Science, Vol. 48, pp 1470-1480, 2010.
S.W. Mumenya, R.B. Tait and Alexander M.G., Mechanical behaviour of textile concrete under accelerated ageing conditions. Journal of Cement and Concrete Composites, Vol. 32, pp 580-588, 2010.
Q.G. Reynolds, R.T. Jones and B.D. Reddy, Mathematical and computational modelling of the dynamic behaviour of direct current plasma arcs. Journal of the South African Institute of Mining and Metallurgy, Vol. 110, pp 733-742, 2010.
C. Sansour and S. Skatulla, A micromorphic continuum-based formulation for inelastic deformations at finite strains. Application to shear band formation. International Journal of Solids and Structures, Vol. 47, pp 1546-1554, 2010.
N.K. Schiller, T. Franz, N.S. Weerasekara, P. Zilla and B.D. Reddy, A simple fluid-structure coupling algorithm for the study of the anastomotic mechanics of vascular grafts. Computer Methods in Biomechanics and Biomedical Engineering, Vol. 13, pp 773-781, 2010.
K. Sichalwe, I. Govender and A.N. Mainza, Characterising porosity of multi-component mixtures in rotary mills. Journal of Mining Engineering, 2010. [DOI: 10.1016/j.mineng.2010.08.027]
M.S. Sirry, P. Zilla and T. Franz, A computational study of structural designs for a small-diameter composite vascular graft promoting tissue regeneration. Cardiovascular Engineering and Technology, Vol. 1, pp 269-81, 2010.
T.S. Volkwyn, A. Buffler, I. Govender, J.-P. Franzidis, A.J. Morrison, A. Odo, N.P. van der Meulen and C. Vermeulen, Studies of the effect of tracer activity on time-averaged positron emission particle tracking measurements on tumbling mills at PEPT Cape Town. Journal of Mining Engineering, 2010. [DOI: 10.1016/j.mineng.2010.08.020]
M.S. Yeoman, B.D. Reddy, H.C. Bowles, D. Bezuidenhout, P. Zilla and T. Franz, A constitutive model for the warp-weft coupled non-linear behavior of knitted textiles with potential use in tissue regenerative implants. Biomaterials, Vol. 31, pp 8484-8493, 2010.
In Book
C. Sansour, S. Skatulla and A Arunachalakasi, A generalized framework and a multiplicative formulation of electro-mechanical coupling in mechanics of generalized continua: One hundred years after the Cosserats. Edited by G. Maugin and A. Metrikine. Springer, New York, 2010, pp 287-294. [DOI: 10.1007/978-1-4419-5695-8_30]
In Proceedings
S. Bartle, A.T. McBride and B.D. Reddy, Proceedings of the 7th South African conference on computational mechanics. Shell finite elements, with applications in biomechanics, Edited by S. Kok, D.N. Wilke, H.M. Inglis and E. Sellers. January, 2010.
S. Braun, S. Skatulla, H.-D. Beushausen and C. Sansour, Proceedings of the Fourth International Conference on Structural Engineering, Mechanics and Computation. A micromorphic theory and its application to elastic size-scale effects, Edited by A. Zingoni. 2010.
E.B. Ismail and B.D. Reddy, Proceedings of the 7th South African conference on computational mechanics. Smoothed particle hydrodynamics for non-linear solid mechanics, Edited by S. Kok, D.N. Wilke, H.M. Inglis and E. Sellers. January, 2010.
Y. Kajee, J-P. Pelteret and B.D. Reddy, Proceedings of the 7th South African conference on computational mechanics. Biomechanics of the human tongue, Edited by S. Kok, D.N. Wilke, H.M. Inglis and E. Sellers. January, 2010.
Morrissey, H.L, A.T. McBride and B.D. Reddy, Proceedings of the 7th South African conference on computational mechanics. The modeling of fibre-reinforced composites using a multi-scale methodology, Edited by S. Kok, D.N. Wilke, H.M. Inglis and E. Sellers. January, 2010.
2009
Articles
C.W. Bakker, C.J. Meyer and D.A. Deglon, Numerical modelling of non-Newtonian slurry in a mechanical flotation cell. Progess in Computational Fluid Dynamics, Vol. 9, pp 308-315, 2009.
C.W. Bakker, C.J. Meyer and D.A. Deglon, Numerical modelling of non-Newtonian slurry in a mechanical flotation cell. Minerals Engineering, Vol. 22, pp 944-950, 2009.
M.E. Gurtin and B.D. Reddy, Alternative formulations of isotropic hardening for Mises materials, and associated variational inequalities.Continuum Mechanics and Thermodynamics, Vol. 21, pp 237-250, 2009. [DOI: 10.1007/s00161-009-0107-3]
S.K.F. Hattingh and B.D. Reddy, A finite element approach for modelling single phase compressible flow in dual porosity systems. Journal of Petroleum Science and Engineering, Vol. 69, pp 1-24, 2009.
A.T. McBride and B.D. Reddy, A discontinuous Galerkin formulation of a model of gradient plasticity at finite strains. Comp, Vol. 198, pp 1805-1820, 2009. [DOI: 10.1016/j.cma.2008.12.034]
Moyo, P and R.B. Tait, Structural performance assessment and fatigue analysis of a railway bridge. Structure and Infrastructure Engineering, 2009. [DOI: 10.1080/15732470903068912]
C. Sansour and S. Skatulla, A strain gradient generalised continuum approach for modelling elastic scale-effects. Computer Methods in Applied Mechanics and Engineering, Vol. 198, pp 1401-1412, 2009.
S. Skatulla, A. Arunachalakasi and C. Sansour, A nonlinear generalized continuum framework for electro-elasticity. Theoretical and Computational Aspects. Journal of the Mechanics and Physics of solids, Vol. 57, pp 137-160, 2009.
M.S. Yeoman, B.D. Reddy, H.C. Bowles, P. Zilla, D. Bezuidenhout and T. Franz, The use of finite element methods and genetic Algorithms in search of an optimal fabric reinforced porous graft system. annal of Biomedical Engineering, Vol. 37, pp 2266-2287, 2009.
In Proceedings
F. Ebobisse and B.D. Reddy, Mathematical aspects of elastoplasticity. Multiple scales problems in biomathematics, mechanics, physics and numerics, Edited by A. Abdulle, J. Banasiak, A. Damlamian and M. Sango. 2009.
2008
Articles
T. Chinyoka, Computational dynamics of a thermally decomposable viscoelastic lubricant under shear. Journal of Fluids Engineering, Vol. 130, pp 7-7, 2008.
H. van der Merwe, B.D. Reddy, P. Zilla, D. Bezuidenhout and T. Franz, A computational study of knitted Nitinol meshes for their prospective use as external vein reinforcement. Journal of Biomechanics, Vol. 41, pp 1302-1309, 2008.
S. Nhleko, A. Zingoni and P. Moyo, A variable mass model for describing load impulses due to periodic jumping. Engineering Structures, Vol. 30, pp 1760-1769, 2008.
M.S. Powell, I. Govender and A.T. McBride, Applying DEM outputs to the unified comminution model. Minerals Engineering, Vol. 21, pp 744-750, 2008.
B.D. Reddy, F. Ebobisse and A.T. McBride, Well-posedness of a model of strain-gradient plasticity for plastically irrotational materials.International Journal of Plasticity, 2008. [DOI: 10.1016/j.ijplas.2007.01.013]
R.F. Rickard, C.J. Meyer and D.A. Hudson, Computational modeling of microarterial anastomoses with size discrepancy. Journal of Surgical Research, Vol. 153, pp 1-11, 2008.
S. Skatulla and C. Sansour, Essential boundary conditions in meshfree methods via a modified variational principle. Applications to shell computations. Computer Assisted Mechanics and Engineering Sciences, Vol. 15, pp 123-142, 2008.
A. Zingoni, The case for the Eurocodes for South Africa. Civil Engineering, Vol. 16, pp 16-18, 2008.
A. Zingoni, What do the Eurocodes mean for South Africa?. The Structural Engineer, Vol. 86, pp 11-13, 2008.
A. Zingoni and V. Balden, On the buckling strength of stiffened elliptic paraboloidal steel panels. Thin-Walled Structures. , 2008. [DOI:10.1016/j.tws.2008.11.007]
A. Zongoni, On group-theoretic computation of natural frequencies for spring-mass dynamic systems with rectilinear motion.Communications in Numerical Methods in Engineering, Vol. 24, pp 973-987, 2008.
Proceedings
IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media. Edited by B.D. Reddy. 2008.
In Proceedings
C.W. Bakker, C.J. Meyer and D.A. Deglon, Numerical modelling of non-newtonian slurry in a mechanical flotation cell. 6th International Conference on CFD in Oil & Gas, Metallurgical and Process Industries, Trondheim Norway, 10-12 June, 2008.
F. Ebobisse, A.T. McBride and B.D. Reddy, On the mathematical formulations of a model of strain gradient plasticity. IUTAM Symposium on Theoretical, Modelling and Computational Aspects of Inelastic Media, Edited by B.D. Reddy. 2008.
A.T. McBride and B.D. Reddy, Some aspects of a Discontinuous Galerkin formulation for gradient plasticity at finite strains. IUTAM Symposium on Theoretical, Modelling and Computational Aspects of Inelastic Media, Edited by B.D. Reddy. 2008.
S. Skatulla, C. Sansour and A. Arunachalakasi, 'A nonlinear generalized continuum approach for electro-mechanical couplin. AIP Conference Proceedings, 2008.
2007
Articles
J.K. Djoko, F. Ebobisse, A.T. McBride and B.D. Reddy, A Discontinuous Galerkin formulation for classical and gradient plasticity - Part 1: Formulation and analysis. Computer Methods in Applied Mechanics and Engineering, Vol. 196, pp 3881-3897, 2007. [DOI:10.1016/j.cma.2006.10.045]
J.K. Djoko, F. Ebobisse, A.T. McBride and B.D. Reddy, A Discontinuous Galerkin formulation for classical and gradient plasticity - Part 2: Algorithms and numerical analysis. Computer Methods in Applied Mechanics and Engineering, Vol. 197, pp 1-27, 2007. [DOI:10.1016/j.cma.2007.06.027]
R. Heise, C.J. Meyer and T.W. Von Backstraam, CFD simulation of helicopter flow fields using an actuator disk main rotor model. R&D Journal, Vol. 23, pp 26-32, 2007.
C.L. Vaughan, B.D. Reddy, T.D. Noakes and V.C. Moran, A commentary on the intellectual health of the nation. South African Journal of Science, Vol. 103, pp 22-26, 2007.
In Proceedings
J.K. Djoko and B.D. Reddy, A generalised Hu-Washizu formulation for elasticity. In Proceedings of the Fifth South African Conference on Computational and Applied Mechanics (SACAM), Edited by T.M. Harms. Cape Town, January, 2007.
I. Govender and M.S. Powell, A 3D X-ray vision system for studying discrete particulate behaviour. DEM07, Brisbane, Australia, August, 2007.
I. Govender, M.S. Powell, R. Chandramohan, D.J. Parker, X. Fan and A. Ingram, Positron emission particle tracking of charge particles in a scaled industrial tumbling mill. DEM07, Brisbane, Australia, August, 2007.
A.T. McBride and M.S. Powell, Using DEM to inform experimental design. DEM07, Brisbane, Australia, August, 2007.
A.T. McBride and B.D. Reddy, Primal plasticity within a discontinuous Galerkin framework. Part 2: numerics and comparison with standard formulations. In Proceedings of the Fifth South African Conference on Computational and Applied Mechanics (SACAM), Edited by T.M. Harms. Cape Town, 2007.
M.S. Powell, I. Govender, C. Kulya and A.T. McbBride, Applying DEM outputs to the Unified Comminution Model - the SAG mill.DEM07, Brisbane, Australia, August, 2007.
B.D. Reddy and A.T. McBride, Primal plasticity within a discontinuous Galerkin framework. Part 1: basic formulation. Proceedings of the Fifth South African Conference on Computational and Applied Mechanics (SACAM), Edited by T.M. Harms. Cape Town, January, 2007.