PUBLICATIONS: B D REDDY


    BOOKS AND EDITED WORKS


  1. Reddy BD, Functional Analysis and Boundary Value Problems: An Introductory Treatment. (Pitman Surveys and Reference Works in Pure and Applied Mathematics, Vol 30) Longman, London and Wiley, New York (1986) 333 pages.
  2. Reddy BD, Introductory Functional Analysis with Applications to Boundary-Value Problems and Finite Elements. Springer-Verlag, New York (1998) 471 pages.[link]
  3. Reddy BD (editor), Recent Developments in Computational and Applied Mechanics: A Volume in Honour of John B Martin. CIMNE, Barcelona (1997) 432 pages.
  4. Lubuma JM-S, Luhandjula MK and Reddy BD, Actes de la Conférence Internationale sur les Problèmes Variationnels en Mathématiques Appliquées Presses de l'Université de Kinshasa (1997) 332 pages.
  5. Han W and Reddy BD, Plasticity: Mathematical Theory and Numerical Analysis. Springer-Verlag, New York (1999) 371 pages.[link]
  6. Reddy BD (guest editor), Special Issue on Advances in Computational Plasticity, Computer Methods in Applied Mechanics and Engineering 171 (Nos.3-4) (1999) [link]
  7. Reddy BD (editor), Theoretical, Modelling and Computational Aspects of Inelastic Media. Proceedings of IUTAM Symposium, Cape Town, 2008. Springer, Berlin (2009) [link]


    8. ARTICLES


  8. Martin JB and Reddy BD, A programming approach to the solution of the rate problem in elastic, plastic solids. In Mechanics in Engineering (RN Dubey and NC Lind, eds) University of Waterloo Press, Waterloo, Canada (1977) 251 - 270.
  9. Baggett J, Martin JB and Reddy BD, Elastic-plastic deformations in plane frames. The Civil Engineer in South Africa 19 (1977) 89 - 93.
  10. Reddy BD and Calladine CR, Classical buckling of a thin-walled tube subjected to bending moment and internal pressure. International Journal of Mechanical Sciences 20 (1978) 641 - 650.[link]
  11. Reddy BD, An experimental study of the plastic buckling of circular cylinders in pure bending. International Journal of Solids and Structures 15 (1979) 669 - 683.[link]
  12. Reddy BD, Plastic buckling of cylindrical shells. International Journal of Mechanical Sciences 21 (1979) 671 - 679.[link]
  13. Reddy BD, Discussion of paper `Inelastic buckling of circular tubes in bending' by RM Korol (in Journal of the Engineering Mechanics Division of the ASCE 104 (1978) 939 -952). Journal of the Engineering Mechanics Division of the ASCE 105 (1979) 358 - 359.
  14. Reddy BD, Buckling of elastic-plastic discretely stiffened cylinders in axial compression. International Journal of Solids and Structures 16 (1980) 313 - 328.[link]
  15. Reddy BD, Dual extremum principles in the dynamics of rigid-plastic bodies undergoing finite deformation. Journal of the Mechanics and Physics of Solids 29 (1981) 199 - 210.[link]
  16. Reddy BD, A deformation theory analysis of the bifurcation of pressurised thick-walled cylinders. Quarterly Journal of Mechanics and Applied Mathematics 35 (1982) 183 - 196.
  17. Reddy BD, Surface instabilities on an equibiaxially stretched elastic half-space. Mathematical Proceedings of the Cambridge Philosophical Society 91 (1982) 491 - 501.
  18. Duffett GA and Reddy BD, Plastic buckling of initially imperfect stiffened cylinders in axial compression. Journal of Applied Mechanics 50 (1983) 88 - 94.[link]
  19. Reddy BD, The occurrence of surface instabilities and shear bands in plane strain deformation of an elastic half-space. Quarterly Journal of Mechanics and Applied Mathematics 36 (1983) 337 - 350.
  20. Reddy BD and Mitchell GP, The analysis of elastic-plastic plates: a quadratic programming problem and its solution by finite elements. Computer Methods in Applied Mechanics and Engineering 41 (1983) 237 - 248.[link]
  21. Duffett GA and Reddy BD, The analysis of incompressible hyperelastic bodies by the finite element method. Computer Methods in Applied Mechanics and Engineering 41 1983) 105 - 120.[link]
  22. Reddy BD, The propagation and growth of acceleration waves in constrained thermoelastic materials. Journal of Elasticity 14 (1984) 387 - 402.
  23. Reddy BD, Acceleration waves in isotropic constrained thermoelastic materials. In Wave Phenomena: Modern Theory and Applications (TB Moodie and CA Rogers, eds) North-Holland, Amsterdam (1984) 71 - 82.
  24. Reddy BD, Griffin TB and Marais MJ, A penalty approach to the rate problem in small-strain plasticity. IMA Journal of Applied Mathematics 34 (1985) 303 - 321.
  25. Griffin TB and Reddy BD, Penalty-finite element approximations of the rate problem in plasticity. In Variational Methods in Engineering (CA Brebbia, ed) Springer, Berlin (1985) 8.37 - 8.46.
  26. Duffett GA and Reddy BD, The solution of multi-parameter systems of equations, with application to problems in nonlinear elasticity. Computer Methods in Applied Mechanics and Engineering 59 (1986) 179 - 213.[link]
  27. Bleach GP and Reddy BD, The influence of constraints on the properties of acceleration waves in isotropic thermoelastic media. Archive for Rational Mechanics and Analysis 98 (1987) 31 - 64.
  28. Martin JB, Reddy BD, Griffin TB and Bird WW, Applications of mathematical programming concepts to incremental elastic-plastic analysis. Engineering Structures 9 (1987) 171 - 176.[link]
  29. Reddy BD, Martin JB and Griffin TB, Extremal paths and holonomic constitutive laws in elastoplasticity. Quarterly of Applied Mathematics 45 (1987) 487 - 502.
  30. Reddy BD and Griffin TB, Variational principles and finite element approximations of a holonomic elastic-plastic problem. Numerische Mathematik 52 (1988) 101 - 117.
  31. Reddy BD, Variational and numerical aspects of eigenvalue problems in the stability of fluids. In Mathematics of Finite Elements and Applications 6 (JR Whiteman, ed) Academic Press, London (1988) 397 - 404.
  32. Griffin TB, Reddy BD and Martin JB, A numerical study of holonomic approximations to problems in plasticity. International Journal for Numerical Methods in Engineering 26 (1988) 1449 -1466.
  33. Reddy BD and Voyé HF, Finite element analysis of the stability of fluid motions. Journal of Computational Physics 79 (1988) 92 - 118.
  34. Reddy BD, Convergence of mixed finite element approximations for the shallow arch problem. Numerische Mathematik 53 (1988) 687 - 700.[link]
  35. Geveci T, Reddy BD and and Pearce HT, The approximation of the spectrum of the Stokes operator. RAIRO - Modélisation Mathématique et Analyse Numérique 23 (1989) 129 - 136.
  36. Eve RA and Reddy BD, Variational principles and finite element approximations to problems in finite strain plasticity. Computational Plasticity: Models, Software and Applications 21 (DRJ Owen, E Oñate and E Hinton (eds)) (Pineridge, Swansea) (1989) 71 - 84.
  37. Reddy BD and Tomarelli F, The obstacle problem for an elasto-plastic body. Applied Mathematics and Optimization 21 (1990) 89 - 110.[link]
  38. Eve RA, Reddy BD and Rockafellar RT, An internal variable theory of elastoplasticity based on the maximum plastic work inequality. Quarterly of Applied Mathematics 48 (1990) 59 - 84.
  39. Martin JB and Reddy BD, Variational principles and solution algorithms for internal variable formulations of problems in plasticity. In Omaggio a Giulio Ceradini (U Andreaus et al (eds)) Università di Roma `La Sapienzà' (Roma) (1988) 465 - 477. [link]
  40. Eve RA, Gültop T and Reddy BD, An internal variable finite strain theory of plasticity. Quarterly of Applied Mathematics 48 (1990) 625 - 644.
  41. Reddy BD, The impact of continuum mechanics on analysis. Notices of the SA Mathematical Society 21 (1989) 166 - 182.
  42. Reddy BD, Book review: Maximum and Minimum Principles (by MJ Sewell) (CUP, 1988). SIAM Review 32 (1990) 182 - 184.[link]
  43. Reddy BD, Method and Myth in Applied Mathematics. Inaugural lecture, University of Cape Town, 1989. 12pp.
  44. Reddy BD and Martin JB, Finite element approximations and return mapping algorithms for internal variable formulations of problems in plasticity. Computer Methods in Applied Mechanics and Engineering 93 (1991) 253-273.
  45. Reddy BD, Mixed finite element methods for one-dimensional problems: a survey. Quaestiones Mathematicae 15 (1992) 233-259.
  46. Reddy BD and Volpi MB, Mixed finite element approximations for the circular arch problem. Computer Methods in Applied Mechanics and Engineering 97 (1992) 125 - 145.[link]
  47. Reddy BD, Mixed variational inequalities arising in elastoplasticity. Nonlinear Analysis: Theory, Methods and Applications 19 (1992) 1071 - 1089.[link]
  48. Reddy BD, Existence of solutions to quasistatic problems in plasticity. In Progress in Partial Differential Equations: Calculus of Variations, Applications. (C Bandle et al. (eds) Pitman Research Notes in Mathematics 267 , Longman, UK (1992) 299 - 311.
  49. Eve RA and Reddy BD, Algorithms for the solution of problems of finite-strain elastoplasticity. In Computational Plasticity: Fundamentals and Applications (Proceedings of the 3rd International Conference on Computational Plasticity (DRJ Owen, E Oñate and E Hinton (eds)) (1992) 103 - 115.
  50. Arunakirinathar K and Reddy BD, Mixed finite element approximations for the analysis of arbitrarily curved bars. Numerische Mathematik 94 (1993) 13 - 43.
  51. Reddy BD, Aspects of the modern theory of elastoplasticity. In Free Boundary Problems Involving Solids. (JM Chadam and H Rasmussen (eds)). Pitman Research Notes in Mathematics 281 Longman, UK (1993) 48 - 56.
  52. le Roux C and Reddy BD, The steady Navier-Stokes equations with mixed boundary conditions: applications to free boundary flows. Nonlinear Analysis: Theory, Methods and Applications 20 (1993) 1043 - 1068.[link]
  53. Nurick GN, Nates M and Reddy BD, The behaviour of a single particle on the inside of a rotating cylinder. Part I: Theoretical Analysis. nternational Journal of Minerals Processing 38 (1993) 67 - 79.[link]
  54. Nurick GN, Nates M and Reddy BD, The behaviour of a single particle on the inside of a rotating cylinder. Part II: Experimental Investigation. International Journal of Minerals Processing 38 (1993) 81 - 91.[link]
  55. Martin JB and Reddy BD, Piecewise smooth dissipation and yield functions in plasticity. Meccanica 28 (1993) 169 - 175..[link]
  56. Eve RA and Reddy BD, The variational formulation and solution of problems of finite-strain elastoplasticity based on the use of a dissipation function. International Journal for Numerical Methods in Engineering 37 (1994) 1673 - 1695.
  57. Hueck U, Reddy BD and Wriggers P, On the stabilization of the rectangular four-node quadrilateral element. Communications in Numerical Methods in Engineering 10 (1994) 555 - 563. [pdf]
  58. Reddy BD and Martin JB, Internal variable formulations of problems in elastoplasticity: constitutive and algorithmic aspects. Applied Mechanics Reviews 47 (1994) 429 - 456.
  59. Arunakirinathar K and Reddy BD, Enhanced strain finite element methods. In Computational Plasticity: Fundamentals and Applications (DRJ Owen, E Oñate and E Hinton (eds)) (Proceedings of the 4th International Conference on Computational Plasticity, Barcelona, April 1995) Pineridge Press, Swansea (1995) 321 - 332.
  60. Arunakirinathar K and Reddy BD, Some geometrical results and estimates for quadrilateral finite elements. Computer Methods in Applied Mechanics and Engineering 122 (1995) 307 - 314.[link]
  61. Reddy BD and Simo JC, Stability and convergence of a class of enhanced strain methods. SIAM Journal on Numerical Analysis 32 (1995) 1705 - 1728.
  62. Han W and Reddy BD, On the finite element method for mixed variational inequalities arising in elastoplasticity. SIAM Journal on Numerical Analysis 32 (1995) 1778 - 1807.
  63. Arunakirinathar K and Reddy BD, Further results for enhanced strain methods with isoparametric elements. Computer Methods in Applied Mechanics and Engineering 127 (1995) 127 - 143.
  64. Gültop T and Reddy BD, Acceleration waves in elastic-plastic solids with singular yield surfaces. European Journal of Mechanics/A: Solids 14 (1995) 529 - 551.
  65. Han W and Reddy BD, Computational plasticity: the variational basis, and numerical analysis. Computational Mechanics Advances 2 (4) (1995) 283 - 400. [pdf]
  66. Han W, Reddy BD and Schroeder GC, Qualitative and numerical analysis of quasistatic problems in elastoplasticity. SIAM Journal on Numerical Analysis 34 (1997) 143 - 177.
  67. Han W,Jensen S and Reddy BD, Numerical approximations of problems in plasticity: error analysis and solution algorithms. Numerical Linear Algebra with Applications 4 (1997) 191 - 204.
  68. Stülpner MA, Reddy BD, Starke GR and Spirakis A, Finite element analysis of three-dimensional adaptive bone remodelling. Journal of Biomechanics 30 (1997) 1063 - 1066.[link]
  69. Reddy BD and Küssner M, The four-noded quadrilateral with a 2 x 1 integration rule: application to plates and other problems. Computer Methods in Applied Mechanics and Engineering 149 (1997) 101 - 112.[link]
  70. Reddy BD, John B Martin: a biographical essay. In Recent Developments in Computational and Applied Mechanics: A Volume in Honour of John B Martin. CIMNE, Barcelona (1997) 1 - 10.
  71. Reddy BD and Mitchell GP, Finite element approximations of the flow of fibre suspensions. In Recent Developments in Computational and Applied Mechanics: A Volume in Honour of John B Martin. CIMNE, Barcelona (1997) 342 - 356.
  72. Reddy BD and Küssner M, Some low-order quadrilateral elements based on novel integration rules. Engineering Computations 15 (1998) 700 - 721.
  73. Reddy BD, Acceleration waves. In Encyclopaedia of Mathematics (M Hazewinkel, Ed.) Kluwer Academic Publishers, Dordrecht, Netherlands.
  74. Reddy BD, Book review: Limit Analysis of Solids and Structures (JA Kamenjarzh) (CRC Press, 1996). SIAM Review 40 (1998) 173 - 175.
  75. Galdi GP and Reddy BD, Well-posedness of the problem of fiber suspension flows. Journal of Non-Newtonian Fluid Mechanics 83 (1999) 205 - 230. [link]
  76. Han W and Reddy BD, Convergence analysis of discrete approximations of problems in hardening plasticity. Computer Methods in Applied Mechanics and Engineering 171 (1999) 327 - 340. [link]
  77. Childs SJ and Reddy BD, Finite element simulation of the motion of a rigid body in a fluid with a free surface. Computer Methods in Applied Mechanics and Engineering 175 (1999) 99 - 120. [link]
  78. Reese S, Küssner M and Reddy BD, A new stabilization technique for finite elements in non-linear elasticity. International Journal for Numerical Methods in Engineering 44 (1999) 1617 - 1652. [link]
  79. Reese S, Küssner M, Reddy BD and Wriggers P, Eine neue Stabilisieringstechnik für finite Elemente in der finiten Elastizität. Zeitschrift für angewandte Mathematik und Mechanik. 79 (1999) S573 - 574.
  80. Reese S, Wriggers P and Reddy BD, A new locking-free brick element formulation for continuous large deformation problems. Computers and Structures 75 (2000) 291 - 304. [link]
  81. Munganga JMW, Reddy BD and Diatezua JK, Aspects of the thermodynamic stability of fibre suspension flows. Journal of Non-Newtonian Fluid Mechanics 92 (2000) 135 - 150. [link]
  82. Han W and Reddy BD, Convergence of approximations to the primal problem in plasticity under minimal conditions of regularity. Numerische Mathematik 87 (2000) 283 - 315. [link]
  83. Reddy BD and Mitchell GP, Finite element analysis of fibre suspension flows. Computer Methods in Applied Mechanics and Engineering 190 (2001) 2349 - 2368. [link]
  84. Küssner M and Reddy BD, The equivalent parallelogram and parallelipiped, and their application to stabilised finite elements in two and three dimensions. Computer Methods in Applied Mechanics and Engineering 190 (2001) 1967 - 1983. [link]
  85. Kahn MJ and Reddy BD, Science and Technology in South Africa: regional innovation hub or passive consumer? In Daedalus, Special Issue "Why South Africa Matters", American Academy of Arts and Sciences, Cambridge, MA, 130, No.1 (2001) 205-234.
  86. Reddy BD and Ehl O, Enhanced strain finite elements for Mindlin-Reissner plates. In Structural Engineering, Mechanics and Computation. (ed. A Zingoni) Elsevier, Amsterdam, 27 - 38.[link]
  87. Munganga JMW and Reddy BD, Local and global existence of solutions to the equations for fibre suspension flows. Mathematical Models and Methods in Applied Sciences 12 (1989) 166 - 182. [link]
  88. Arunakirinathar K and Reddy BD, A stable affine-approximate finite element method. SIAM Journal on Numerical Analysis 40 (2002) 180 - 197. [link]
  89. Reddy BD, Affine-approximate finite element methods and stabilization techniques in elasticity. Computational Mechanics of Solid Materials at Large Strains (ed. C Miehe et al.), Kluwer, Dordrecht, Netherlands (2003) 395-404. [pdf]
  90. Djoko JK and Reddy BD, New mixed formulations for problems in elasticity. Engineering Computations 20 (2003) 659 - 674. [link]
  91. Braess D, Carstensen C and Reddy BD, Uniform convergence and a posteriori estimators for the enhanced strain finite element method. Numerische Mathematik 96 (2004), 461 - 479. [link]
  92. Ebobisse Bille F and Reddy BD, Some mathematical problems in perfect plasticity. Computer Methods in Applied Mechanics and Engineering 193 (2004) 5071 - 5094. [link]
  93. Bostan V, Han W and Reddy BD, A posteriori estimation and adaptive solution of elliptic variational inequalities of the second kind. Applied Numerical Mathematics 52 (2005) 13 - 38. [link]
  94. Kleine D and Reddy BD, Finite element analysis of flows in secondary settling tanks. International Journal for Numerical Methods in Engineering 64 (2005) 849 - 876. [link]
  95. Lamichhane BP, Reddy BD and Wohlmuth BI, Convergence in the incompressible limit of finite element approximations based on the Hu-Washizu formulation Numerische Mathematik 104 (2006) 151 - 175. [link]
  96. Djoko JK, Lamichhane BP, Reddy BD and Wohlmuth BI, Conditions for equivalence between the Hu-Washizu and related formulations, and computational behaviour in the incompressible limit Computer Methods in Applied Mechanics and Engineering 195 (2006) 4161 - 4178. [link]
  97. Djoko JK and Reddy BD, An extended Hu-Washizu formulation for elasticity. Computer Methods in Applied Mechanics and Engineering 195 (2006) 6330 - 6346. [link]
  98. Kleine D and Reddy BD, Finite element analysis of unsteady flows in secondary settling tanks. Proceedings of the Fifth International Conference on Computational Fluid Dynamics in the Process Industries. CD-ROM, ISBN 0 643 09423 7 (2006).
  99. Djoko JK, Ebobisse F, McBride AT and Reddy BD, A Discontinuous Galerkin formulation for classical and gradient plasticity. Part 1: Formulation and analysis. Computer Methods in Applied Mechanics and Engineering 196 (2007) 3881 - 3897. [link]
  100. Djoko JK, Ebobisse F, McBride AT and Reddy BD, A Discontinuous Galerkin formulation for classical and gradient plasticity. Part 2: Algorithms and numerical results. Computer Methods in Applied Mechanics and Engineering 21 (2007) 1 - 21. [link]
  101. Vaughan CL, Reddy BD, Noakes TD and Moran VC, A commentary on the intellectual health of the nation. South African Journal of Science 103 (2007) 22-26.[pdf]
  102. Reddy BD, Ebobisse F and McBride AT, Well-posedness of a model of strain-gradient plasticity for plastically irrotational materials. International Journal of Plasticity 24 (2008) 55-73. [link]
  103. van der Merwe H, Reddy BD, Bezuidenhout D, Zilla P and Franz T, A computational study of knitted Nitinol meshes for their prospective use as external vein reinforcement. Journal of Biomechanics 41 (2008) 1302-1309. [link]
  104. Ebobisse F, McBride AT and Reddy BD, On the mathematical formulations of a model of strain gradient plasticity. In Theoretical, Modelling and Computational Aspects of Inelastic Media (Proceedings of IUTAM Symposium, ed. BD Reddy), Springer, Berlin (2008) 117-128. [pdf]
  105. McBride AT and Reddy BD, Some aspects of a Discontinuous Galerkin formulation for gradient plasticity at finite strains. In Theoretical, Modelling and Computational Aspects of Inelastic Media (Proceedings of IUTAM Symposium, ed. BD Reddy), Springer, Berlin (2008). 237-247. [pdf]
  106. Hattingh SKF And Reddy BD, A finite element approach for modelling single phase compressible flow in dual porosity systems. Journal of Petroleum Science and Engineering 69 (2009) 1-24. [link]
  107. Yeoman MS, Reddy BD, Bowles H, Bezuidenhout D and Zilla P and Franz T, The use of finite element methods and genetic Algorithms in search of an optimal fabric reinforced porous graft system. Annals of Biomedical Engineering 37 (2009) 2266-2287. [link]
  108. McBride AT and Reddy BD, A discontinuous Galerkin formulation for gradient plasticity at finite strains. Computer Methods in Applied Mechanics and Engineering. 198 (2009) 1805-1820. [pdf]
  109. Ebobisse Bille F and Reddy BD, Mathematical Aspects of Elastoplasticity. In Multiple Scales Problems in Biomathematics, Mechanics, Physics and Numerics (Proceedings of CIMPA School, Cape Town, August 2007 (ed. A Abdulle, J Banasiak, A Damlamian, M Sango), Gakkotosho, Tokyo, pages 185-220, 2009.
  110. Gurtin ME and Reddy BD, Alternative formulations of isotropic hardening for Mises materials, and associated variational inequalities. Continuum Mechanics and Thermodynamics 21 (2009) 237-250. [link]
  111. Koch T, Reddy BD, Zilla P and Franz T, Aortic valve leaflet mechanical properties facilitate diastolic valve function. Computer Methods in Biomechanics and Biomedical Engineering. 13 (2010) 225-234. [link]
  112. Schiller NK, Franz T, Weerasekara NS, Zilla P and Reddy BD, A simple fluid–structure coupling algorithm for the study of the anastomotic mechanics of vascular grafts. Computer Methods in Biomechanics and Biomedical Engineering In press (2010). [link]
  113. Franz T, Reddy BD, Human P and Zilla P, A mathematical method for constraint-based cluster analysis towards optimized constrictive diameter smoothing of saphenous vein grafts. Medical and Biological Engineering and Computing 48 (2010) 519-529. [link]
  114. Reynolds QG, Jones RT and Reddy BD, Mathematical and computational modelling of the dynamic behaviour of direct current plasma arcs. Proceedings of the Twelfth International Ferroalloys Congress, Helsinki, Finland (A Vartiainen, ed.), Outotec Oyj (2010) 789-801. Also published as Journal of the South African Institute of Mining and Metallurgy 110 (2010) 733-742. [pdf]
  115. Yeoman MS, Reddy BD, Bowles HC, Bezuidenhout D, Zilla P and Franz T, A constitutive model for the warp-weft coupled non-linear behavior of knitted textiles with potential use in tissue regenerative implants. Biomaterials 31 (2010) 8484-8493. [link]
  116. Mohamed HBH and Reddy BD, Some properties of models for generalized Oldroyd-B fluids. International Journal of Engineering Science 48 (2010) 1470-1480. [link]
  117. Jasinoski SC, Reddy BD, Louw KK, and Chinsamy A, Mechanics of cranial sutures using the finite element method. Journal of Biomechanics 43 (2010) 3104-3111. [link]
  118. Ngoepe MN, Reddy BD, Kahn D, Meyer CJ, Zilla P and Franz T, A numerical tool for the coupled mechanical assessment of anastomoses of PTFE arterio-venous access grafts. Cardiovascular Engineering and Technology 2 (2011) 160-172.[link]
  119. Franz T, Human P, Dobner S, Reddy BD, Black M, Ilsley H, Wolf MF, Bezuidenhout D, Moodley L, and Zilla P, Tailored sizes of constrictive external vein meshes for coronary artery bypass surgery. Biomaterials 31 (2010) 9301-9309.[link]
  120. Bartle S, McBride AT and Reddy BD, Shell finite elements, with applications in biomechanics. Proceedings of the 7th South African Conference on Computational Mechanics (Pretoria, January 2010) (S Kok, DN Wilke, HM Inglis, E Sellers, editors) (CD-ROM, ISBN 978-0-620-49192-1) (2011) 63-74. [pdf]
  121. Morrissey H, Reddy BD, McBride A and Bowles H, The modelling of fibre-reinforced cocmposites using a multi-scale methodology. Proceedings of the 7th South African Conference on Computational Mechanics (Pretoria, January 2010) (S Kok, DN Wilke, HM Inglis, E Sellers, editors) (CD-ROM, ISBN 978-0-620-49192-1) (2011) 86-96.
  122. Kayee Y, Pelteret J-P and Reddy BD, Biomechanics of the human tongue. Proceedings of the 7th South African Conference on Computational Mechanics (Pretoria, January 2010) (S Kok, DN Wilke, HM Inglis, E Sellers, editors) (CD-ROM, ISBN 978-0-620-49192-1) (2011) 97-108.
  123. Richardson NJN, McBride AT and Reddy BD, An investigation of algorithms for rate-independent single crystal plasticity. Proceedings of the 7th South African Conference on Computational Mechanics (Pretoria, January 2010) (S Kok, DN Wilke, HM Inglis, E Sellers, editors) (CD-ROM, ISBN 978-0-620-49192-1) (2011) 508-517.
  124. Bargmann S and Reddy BD, Modeling of polycrystals using a gradient crystal plasticity theory that includes dissipative microstresses. European Journal of Mechanics A: Solid 30 (2011) 1-12. [link]
  125. Ismail EB and Reddy BD, Smoothed particle hydrodynamics for nonlinear solid mechanics. Proceedings of the 7th South African Conference on Computational Mechanics (Pretoria, January 2010) (S Kok, DN Wilke, HM Inglis, E Sellers, editors) (CD-ROM, ISBN 978-0-620-49192-1) (2011) 372-381. [pdf]
  126. Reddy BD and McBride AT, Introduction to finite element analysis and recent developments. Chapter 1 in Modeling and Simulation in Fibrous Materials: Techniques and Applications (A Patnaik and RD Anandjiwala, editors) Nova Science Publishers, New York (in press). [pdf]
  127. Djoko JK and Reddy BD, Existence results for a polymer melt with an evolving natural configuration. Mathematical Models and Methods in Applied Sciences (in press) [link]
  128. Reddy BD, The role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. Part 1: Polycrystalline plasticity. Continuum Mechanics and Thermodynamics 23 (2011) 527–549. [link]
  129. Reddy BD, 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 23 (2011) 551-572. [link]
  130. Jasinoski SC, Cluver MA, Chinsamy A, and Reddy BD, Anatomical plasticity in the snout of Lystrosaurus and its functional implications. In C. F. Kammerer, K. D. Angielczyk, and J. Frobisch, eds. Early Evolutionary History of the Synapsida. Springer, New York (in press).
  131. Franz T, Human P, Reddy BD, Moodley L and Zilla P, Theoretically optimised sizing of constrictive external meshes for the elimination of diameter irregularities in vein grafts. In review. [pdf]
  132. Penzhorn KEW, McBride AT and Reddy BD, Consistency and convergence of SPH derivative approximations. In review. [pdf]
  133. Yeoman MS, Reddy BD, Bowles HC, Zilla P, Bezuidenhout D and Franz T, Identification of coefficients of a constitutive model to fully describe distinctly different implantable textile materials using a genetic algorithm. In review.
  134. Kajee Y, Pelteret J-P and Reddy BD, The biomechanics of the human tongue. In review. [pdf]
  135. Reddy BD, Wieners C and Wohlmuth B, Finite element analysis and algorithms for single-crystal strain-gradient plasticity. International Journal for Numerical Methods in Engineering (in press) [pdf]
  136. Pelteret J-PV and Reddy BD, Computational model of soft tissues in the human upper airway computational model of soft tissues in the human upper airway. International Journal for Numerical Methods in Biomedical Engineering (in press)
  137. Jasinoski SC and Reddy BD, Mechanics of cranial sutures during simulated cyclic loading. In review.
  138. Lamichhane BP, McBride AT and Reddy BD, A finite element method for a three-field formulation based on biorthogonal systems. In review.
  139. Javili A, McBride A, Steinmann P and Reddy BD, The admissibility of negative material parameters for surface elasticity theory. In review.


    TECHNICAL REPORTS AND OTHER PUBLICATIONS


  1. (with GP Mitchell) The analysis of elastic-plastic trusses undergoing large deformations. AMRU TR14 (1981). 14 pp.
  2. (with GA Duffett) The numerical solution of systems of nonlinear equations with many parameters. AMRU TR39 (1983). 29 pp.
  3. (with GA Duffett, TB Griffin, JB Martin, CD Mercer and L Resende) NOSTRUM - A finite element program for nonlinear structural mechanics. AMRU TR18B (1983). 14 pp.
  4. (with AC Bolt) The use of nonlocal nonlinear friction laws in the finite element analysis of contact problems in elasticity. AMRU Tech Rep 42 (1983). 26pp.
  5. (with MJ Marais) A penalty approach to the rate problem in plasticity. AMRU TR49 (1984). 24pp.
  6. (with CD Mercer and SD Pressinger) Finite element analysis of linear piezoelectric media: Part I - Statical analysis. AMRU TR51 (1984). 21pp.
  7. (with TB Griffin and JB Martin) Finite element approximations for elastic-plastic continua using internal variable formulations. AMRU TR53 (1984). 32pp.
  8. (with GA Duffett) Systems of nonlinear equations with many parameters. AMRU TR56 (1984). 32pp.
  9. (with CD Mercer and RA Eve) The dynamic behaviour of piezoelectric media. AMRU TR73 (1985). 19pp.
  10. (with GA Duffett) Numerical solution of bifurcation problems in nonlinear elasticity. AMRU TR74 (1985). 15pp.
  11. Bifurcation and stability in structural mechanics. AMRU TR75 (1986). 9pp.
  12. (with RA Eve) Conforming finite element methods for eigenvalue problems of thin elastic shells. AMRU TR88 (1987). 29pp.
  13. (with RA Eve) Variational principles and finite element approximation of problems in finite strain plasticity. CERECAM TR133 (1989). 29pp.
  14. (with K Arunakirinathar) A closed-form solution to the problem of an elastic bar of arbitrary but constant curvature and torsion. CERECAM TR184 (1992). 17 pp.
  15. (with B-H Sun) Shell models based on additive decomposition of deformation gradient. CERECAM TR247 (1994). 15 pp.
  16. (with SJ Childs) Finite element simulation of a rigid body in a fluid with free surface. CERECAM TR248 (1994). 14 pp.
  17. (with AE Ozinsky and GA Ekama) Mathematical simulation of dynamic behaviour of secondary settling tanks. Research Report W85, Dept of Civil Engineering, UCT (1994).
  18. (with MA Stülpner, GR Starke and A Spirakis) Constitutive models for scalar adaptive bone remodelling laws. CEREACAM TR 264 (1996). 27 pp.
  19. (with SKF Hattingh) A preliminary comparison between a finite element and a finite difference algorithm for modelling petroleum reservoirs. CERECAM TR284 (1997). 12 pp.
  20. (with D Kleine) Development of a finite element 2D hydrodynamic model for secondary settling tanks. Research Report K5/835 (Water Research Commission) (2001). 45pp.
  21. (with R Adam, C de la Rey and KJ Naidoo) High performance computing in South Africa: Computing in support of African development. CT Watch Quarterly February 2006. Available online at http://www.ctwatch.org/quarterly/archives/february-2006