## Reddy, B. Dayanand

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 Author ID: reddy.b-dayanand Published as: Reddy, B. D.; Reddy, B. Daya; Daya Reddy, B.; Reddy, B. Dayanand
 Documents Indexed: 132 Publications since 1978, including 4 Books 5 Contributions as Editor Co-Authors: 58 Co-Authors with 88 Joint Publications 1,308 Co-Co-Authors
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### Co-Authors

 33 single-authored 15 McBride, Andrew T. 9 Han, Weimin 7 Djoko, Jules K. 7 Ebobisse, François Bille 6 Griffin, T. B. 5 Küssner, Martin 4 Arunakirinathar, K. 4 van Huyssteen, Daniel 4 Wriggers, Peter 3 Carstensen, Carsten 3 Duffett, G. A. 3 Eve, R. A. 3 Grieshaber, Beverley J. 3 Gurtin, Morton Edward 3 Lamichhane, Bishnu Prasad 3 Mitchell, G. P. 3 Wakeni, Mebratu F. 3 Wohlmuth, Barbara I. 2 Bargmann, Swantje 2 Bogaers, A. E. J. 2 Chama, A. 2 Gidey, H. H. 2 Gültop, T. 2 Munganga, Justin Manango W. 2 Rust, W. T. 2 Steinmann, Paul 1 Bleach, G. P. 1 Bostan, Viorel 1 Braess, Dietrich 1 Calladine, Christopher Reuben 1 Childs, S. J. 1 Davids, L. M. 1 de Lorenzis, Laura 1 Diatezua, K. J. 1 Donev, I. G. 1 Duffett, Gino 1 Galdi, Giovanni Paolo 1 Geveci, Tunc 1 Haslinger, Jaroslav 1 Hudobivnik, Blaž 1 Hueck, Ulrich 1 Javili, Ali 1 Kleine, D. 1 Lubuma, Jean Mbaro-Saman 1 Luhandjula, Monga Kalonda 1 Marais, M. J. 1 Mhlongo, N. 1 Mohamed, H. B. H. 1 Musehane, Ndivhuwo M. 1 Oxtoby, Oliver F. 1 Pearce, Howard T. 1 Pelteret, J-P. V. 1 Pond, D. 1 Rasolofoson, F. 1 Repin, Sergeĭ Igorevich 1 Rockafellar, Ralph Tyrrell 1 Schedensack, Mira 1 Schroeder, Gregory C. 1 Simo, Juan Carlos 1 Sysala, Stanislav 1 Tomarelli, Franco 1 Volpi, M. B. 1 Voyé, H. F. 1 Wieners, Christian
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### Serials

 29 Computer Methods in Applied Mechanics and Engineering 7 Numerische Mathematik 5 International Journal for Numerical Methods in Engineering 5 SIAM Journal on Numerical Analysis 5 Computational Mechanics 4 Continuum Mechanics and Thermodynamics 3 International Journal of Mechanical Sciences 3 Journal of the Mechanics and Physics of Solids 3 Quarterly of Applied Mathematics 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Computers & Mathematics with Applications 2 International Journal of Engineering Science 2 Journal of Computational Physics 2 Quarterly Journal of Mechanics and Applied Mathematics 2 Meccanica 2 Journal of Non-Newtonian Fluid Mechanics 2 Annales de la Faculté des Sciences 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 European Journal of Mechanics. A. Solids 2 Engineering Computations 2 GAMM-Mitteilungen 2 Interdisciplinary Applied Mathematics 2 International Journal for Numerical Methods in Biomedical Engineering 2 Nonlinear Analysis. Theory, Methods & Applications 1 Archive for Rational Mechanics and Analysis 1 IMA Journal of Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 International Journal of Plasticity 1 International Journal of Solids and Structures 1 Journal of Applied Mechanics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Applied Mathematics and Optimization 1 Quaestiones Mathematicae 1 Applied Numerical Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 European Journal of Mechanics. A. Solids 1 Journal of Elasticity 1 Communications in Numerical Methods in Engineering 1 Computational Mechanics Advances 1 Numerical Linear Algebra with Applications 1 Applied Mechanics and Engineering 1 Acta Mathematica Sinica. English Series 1 Computational Methods in Applied Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Pitman Monographs and Surveys in Pure and Applied Mathematics 1 Texts in Applied Mathematics 1 IUTAM Bookseries 1 Journal of Theoretical Biology 1 Notices of the South African Mathematical Society 1 Fixed Point Theory and Algorithms for Sciences and Engineering
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### Fields

 106 Mechanics of deformable solids (74-XX) 43 Numerical analysis (65-XX) 20 Fluid mechanics (76-XX) 18 Partial differential equations (35-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 5 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Biology and other natural sciences (92-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

92 Publications have been cited 1,081 times in 717 Documents Cited by Year
Plasticity. Mathematical theory and numerical analysis. Zbl 0926.74001
Han, Weimin; Reddy, B. Daya
1999
A virtual element method for contact. Zbl 1398.74420
Wriggers, P.; Rust, W. T.; Reddy, B. D.
2016
Plasticity. Mathematical theory and numerical analysis. 2nd ed. Zbl 1258.74002
Han, Weimin; Reddy, B. Daya
2013
Stability and convergence of a class of enhanced strain methods. Zbl 0855.73073
Reddy, B. D.; Simo, J. C.
1995
A new stabilization technique for finite elements in nonlinear elasticity. Zbl 0927.74070
Reese, S.; Küssner, M.; Reddy, B. D.
1999
Efficient virtual element formulations for compressible and incompressible finite deformations. Zbl 1386.74146
Wriggers, P.; Reddy, B. D.; Rust, W.; Hudobivnik, B.
2017
Well-posedness of a model of strain gradient plasticity for plastically irrotational materials. Zbl 1139.74009
Reddy, B. Daya; Ebobisse, François; McBride, Andrew
2008
A discontinuous Galerkin formulation for classical and gradient plasticity. I: Formulation and analysis. Zbl 1173.74410
Djoko, J. K.; Ebobisse, F.; McBride, A. T.; Reddy, B. D.
2007
On the finite element method for mixed variational inequalities arising in elastoplasticity. Zbl 0838.73072
Han, Weimin; Reddy, B. Daya
1995
Conditions for equivalence between the Hu-Washizu and related formulations, and computational behavior in the incompressible limit. Zbl 1123.74020
Djoko, J. K.; Lamichhane, B. P.; Reddy, B. D.; Wohlmuth, B. I.
2006
An internal variable theory of elastoplasticity based on the maximum plastic work inequality. Zbl 0693.73008
Eve, R. A.; Reddy, B. D.; Rockafellar, R. T.
1990
Uniform convergence and a posteriori error estimators for the enhanced strain finite element method. Zbl 1050.65097
Braess, D.; Carstensen, C.; Reddy, B. D.
2004
Computational plasticity: The variational basis and numerical analysis. Zbl 0847.73078
Han, Weimin; Reddy, B. Daya
1995
Convergence in the incompressible limit of finite element approximations based on the Hu-Washizu formulation. Zbl 1175.74083
Lamichhane, B. P.; Reddy, B. D.; Wohlmuth, B. I.
2006
Algorithms for the solution of internal variable problems in plasticity. Zbl 0744.73023
Reddy, B. D.; Martin, J. B.
1991
A discontinuous Galerkin formulation for classical and gradient plasticity. II: Algorithms and numerical analysis. Zbl 1169.74595
Djoko, J. K.; Ebobisse, F.; McBride, A. T.; Reddy, B. D.
2007
Mixed variational inequalities arising in elastoplasticity. Zbl 0768.49008
Reddy, B. D.
1992
Further results for enhanced strain methods with isoparametric elements. Zbl 0862.73056
Arunakirinathar, K.; Reddy, B. D.
1995
A posteriori error estimation and adaptive solution of elliptic variational inequalities of the second kind. Zbl 1069.65067
Bostan, Viorel; Han, Weimin; Reddy, B. D.
2005
The role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. II: Single-crystal plasticity. Zbl 1272.74092
Reddy, B. D.
2011
Introductory functional analysis. With applications to boundary value problems and finite elements. Zbl 0893.46002
Reddy, B. Daya
1998
The role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. I: Polycrystalline plasticity. Zbl 1272.74091
Reddy, B. D.
2011
Quasi-Newton methods for implicit black-box FSI coupling. Zbl 1423.74259
Bogaers, A. E. J.; Kok, S.; Reddy, B. D.; Franz, T.
2014
Mixed finite element methods for elastic rods of arbitrary geometry. Zbl 0794.73070
Arunakirinathar, K.; Reddy, B. D.
1993
Alternative formulations of isotropic hardening for Mises materials, and associated variational inequalities. Zbl 1179.74013
Gurtin, Morton E.; Reddy, B. Daya
2009
Convergence of mixed finite element approximation for the shallow arch problem. Zbl 0628.73084
Reddy, B. D.
1988
A unified computational framework for bulk and surface elasticity theory: a curvilinear-coordinate-based finite element methodology. Zbl 1311.74091
Javili, A.; McBride, A.; Steinmann, P.; Reddy, B. D.
2014
Mixed finite element methods for the circular arch problem. Zbl 0763.73056
Reddy, B. D.; Volpi, M. B.
1992
Finite element analysis and algorithms for single-crystal strain-gradient plasticity. Zbl 1242.74154
Reddy, B. D.; Wieners, C.; Wohlmuth, B.
2012
Some geometrical results and estimates for quadrilateral finite elements. Zbl 0846.65058
Arunakirinathar, K.; Reddy, B. D.
1995
A virtual element method for transversely isotropic elasticity. Zbl 1462.74159
Reddy, B. D.; van Huyssteen, D.
2019
Functional analysis and boundary-value problems: An introductory treatment. Zbl 0653.46003
Reddy, B. Dayanand
1986
The equivalent parallelogram and parallelepiped, and their application to stabilized finite elements in two and three dimensions. Zbl 1049.74047
Küssner, M.; Reddy, B. D.
2001
Some mathematical problems in perfect plasticity. Zbl 1112.74324
Ebobisse, François; Reddy, B. Daya
2004
Qualitative and numerical analysis of quasi-static problems in elastoplasticity. Zbl 0933.74010
Han, Weimin; Reddy, B. Daya; Schroeder, Gregory C.
1997
Phase-field modelling of fracture in single crystal plasticity. Zbl 1397.74031
De Lorenzis, L.; McBride, A.; Reddy, B. D.
2016
The analysis of incompressible hyperelastic bodies by the finite element method. Zbl 0522.73059
Duffett, Gino; Reddy, B. D.
1983
On the stabilization of the rectangular 4-node quadrilateral element. Zbl 0804.73058
Hueck, U.; Reddy, B. D.; Wriggers, P.
1994
Uniformly convergent interior penalty methods using multilinear approximations for problems in elasticity. Zbl 1327.74133
Grieshaber, B. J.; McBride, A. T.; Reddy, B. D.
2015
Variational principles and convergence of finite element approximations of a holonomic elastic-plastic problem. Zbl 0618.73034
Reddy, B. D.; Griffin, T. B.
1988
Well-posedness of the problem of fiber suspension flows. Zbl 0951.76090
Galdi, Giovanni P.; Reddy, B. Daya
1999
Aspects of the thermodynamic stability of fibre suspension flows. Zbl 1029.76024
Munganga, J. M. W.; Reddy, B. D.; Diatezua, K. J.
2000
A discontinuous Galerkin formulation of a model of gradient plasticity at finite strains. Zbl 1227.74081
McBride, A. T.; Reddy, B. D.
2009
An internal variable finite-strain theory of plasticity within the framework of convex analysis. Zbl 0714.73037
Eve, R. A.; Gültop, T.; Reddy, B. D.
1990
Extremal paths and holonomic constitutive laws in elastoplasticity. Zbl 0632.73034
Reddy, B. D.; Martin, J. B.; Griffin, T. B.
1987
A stable affine-approximate finite element method. Zbl 1215.74077
Arunakirinathar, K.; Reddy, B. D.
2002
Finite element simulation of the motion of a rigid body in a fluid with free surface. Zbl 0964.76037
Childs, S. J.; Reddy, B. D.
1999
Convergence of approximations to the primal problem in plasticity under conditions of minimal regularity. Zbl 0990.74063
Han, Weimin; Reddy, B. Daya
2000
Gradient single-crystal plasticity within a Mises-Hill framework based on a new formulation of self- and latent-hardening. Zbl 1328.74021
Gurtin, Morton E.; Reddy, B. Daya
2014
The solution of multi-parameter systems of equations with application to problems in nonlinear elasticity. Zbl 0588.73022
Duffett, G. A.; Reddy, B. D.
1986
Extending the robustness and efficiency of artificial compressibility for partitioned fluid-structure interactions. Zbl 1423.74864
Bogaers, A. E. J.; Kok, S.; Reddy, B. D.; Franz, T.
2015
Local and global existence of solutions to equations for flows of fibre suspensions. Zbl 1041.76081
Munganga, J. M. W.; Reddy, B. D.
2002
The propagation and growth of acceleration waves in constrained thermoelastic materials. Zbl 0573.73032
Reddy, B. D.
1984
Mixed finite element methods for one-dimensional problems: A survey. Zbl 0785.65105
Reddy, B. D.
1992
Numerical approximations of problems in plasticity: error analysis and solution algorithms. Zbl 0896.73078
Han, W.; Jensen, S.; Reddy, B. D.
1997
New stable mixed finite element approximations for problems in linear elasticity. Zbl 1352.74336
Chama, A.; Reddy, B. D.
2013
Modeling of polycrystals using a gradient crystal plasticity theory that includes dissipative micro-stresses. Zbl 1278.74026
Bargmann, Swantje; Reddy, B. Daya
2011
A numerical study of holonomic approximations to problems in plasticity. Zbl 0635.73043
Griffin, T. B.; Reddy, B. D.; Martin, J. B.
1988
The occurrence of surface instabilities and shear bands in plane-strain deformation of an elastic half-space. Zbl 0531.73029
Reddy, B. D.
1983
Convergence analysis of discrete approximations of problems in hardening plasticity. Zbl 0957.74049
Han, Weimin; Reddy, B. Daya
1999
Finite element analysis of the stability of fluid motions. Zbl 0652.76032
Reddy, B. D.; Voyé, H. F.
1988
On the mathematical formulations of a model of strain gradient plasticity. Zbl 1209.74018
Ebobisse, F.; McBride, A. T.; Reddy, B. D.
2008
The obstacle problem for an elastoplastic body. Zbl 0709.73020
Reddy, B. D.; Tomarelli, F.
1990
Some properties of models for generalized Oldroyd-B fluids. Zbl 1231.76012
Mohamed, H. B. H.; Reddy, B. D.
2010
An extended Hu-Washizu formulation for elasticity. Zbl 1122.74047
Djoko, J. K.; Reddy, B. D.
2006
A virtual element method for isotropic hyperelasticity. Zbl 1442.74036
van Huyssteen, Daniel; Reddy, B. D.
2020
A penalty approach to the rate problem in small-strain plasticity. Zbl 0588.73057
Reddy, B. D.; Griffin, T. B.; Marais, M. J.
1985
Surface instabilities on an equibiaxially stretched elastic half-space. Zbl 0519.73032
Reddy, B. D.
1982
Some low-order quadrilateral elements based on novel integration rules. Zbl 0943.74068
Reddy, B. Daya; Küssner, Martin
1998
Existence of solutions to a quasistatic problem of elastoplasticity. Zbl 0802.73022
Reddy, B. D.
1993
The variational formulation and solution of problems of finite-strain elastoplasticity based on the use of a dissipation function. Zbl 0805.73079
Eve, R. A.; Reddy, B. D.
1994
The analysis of elastic-plastic plates: A quadratic programming problem and its solution by finite elements. Zbl 0509.73080
Reddy, B. D.; Mitchell, G. P.
1983
Some aspects of a discontinuous Galerkin formulation for gradient plasticity at finite strains. Zbl 1209.74053
McBride, Andrew; Reddy, B. Daya
2008
Finite element analysis of flows in secondary settling tanks. Zbl 1122.76347
Kleine, D.; Reddy, B. D.
2005
The four-noded quadrilateral with a $$2\times 1$$ integration rule: Application to plates and other problems. Zbl 0918.73133
Reddy, B. Daya; Küssner, Martin
1997
A natural nonconforming FEM for the Bingham flow problem is quasi-optimal. Zbl 1457.65186
Carstensen, C.; Reddy, B. D.; Schedensack, M.
2016
Some theoretical and computational aspects of single-crystal strain-gradient plasticity. Zbl 1435.74013
Reddy, B. D.
2013
The steady Navier-Stokes equations with mixed boundary conditions: Application to free boundary flows. Zbl 0774.76022
Le Roux, C.; Reddy, B. D.
1993
Operator-splitting methods for the 2D convective Cahn-Hilliard equation. Zbl 1442.65194
Gidey, H. H.; Reddy, B. D.
2019
An unconditionally stable algorithm for generalized thermoelasticity based on operator-splitting and time-discontinuous Galerkin finite element methods. Zbl 1436.74004
Wakeni, Mebratu F.; Reddy, B. D.; McBride, A. T.
2016
A thermodynamically consistent formulation of generalized thermoelasticity at finite deformations. Zbl 1423.74249
Wakeni, M. F.; Reddy, B. D.; McBride, A. T.
2016
The influence of constraints on the properties of acceleration waves in isotropic thermoelastic media. Zbl 0617.73008
Bleach, G. P.; Reddy, B. D.
1987
Acceleration waves in isotropic constrained thermoelastic materials. Zbl 0573.73033
Reddy, B. D.
1984
Piecewise smooth dissipation and yield functions in plasticity. Zbl 0783.73022
Martin, J. B.; Reddy, B. D.
1993
On the approximation of the spectrum of the Stokes operator. Zbl 0683.65095
Geveci, Tunc; Reddy, B. Daya; Pearce, Howard T.
1989
A finite element method for a three-field formulation of linear elasticity based on biorthogonal systems. Zbl 1286.65164
Lamichhane, Bishnu P.; McBride, A. T.; Reddy, B. D.
2013
Computational model of soft tissues in the human upper airway. Zbl 1244.92013
Pelteret, J-P. V.; Reddy, B. D.
2012
Acceleration waves in finitely deformed elastic-plastic solids. Zbl 0842.73026
Reddy, B. D.; Gültop, T.
1995
Time-dependent finite element simulations of a shear-thinning viscoelastic fluid with application to blood flow. Zbl 1455.65165
Donev, I. G.; Reddy, B. D.
2014
A virtual element method for transversely isotropic hyperelasticity. Zbl 07427347
van Huyssteen, Daniel; Reddy, B. D.
2021
Classical Buckling of a thin-walled tube subjected to bending moment and internal pressure. Zbl 0384.73024
Reddy, B. D.; Calladine, C. R.
1978
Flow relations and yield functions for dissipative strain-gradient plasticity. Zbl 1382.74023
Carstensen, Carsten; Ebobisse, François; McBride, Andrew T.; Reddy, B. Daya; Steinmann, Paul
2017
A virtual element method for transversely isotropic hyperelasticity. Zbl 07427347
van Huyssteen, Daniel; Reddy, B. D.
2021
A virtual element method for isotropic hyperelasticity. Zbl 1442.74036
van Huyssteen, Daniel; Reddy, B. D.
2020
A virtual element method for transversely isotropic elasticity. Zbl 1462.74159
Reddy, B. D.; van Huyssteen, D.
2019
Operator-splitting methods for the 2D convective Cahn-Hilliard equation. Zbl 1442.65194
Gidey, H. H.; Reddy, B. D.
2019
Efficient virtual element formulations for compressible and incompressible finite deformations. Zbl 1386.74146
Wriggers, P.; Reddy, B. D.; Rust, W.; Hudobivnik, B.
2017
Flow relations and yield functions for dissipative strain-gradient plasticity. Zbl 1382.74023
Carstensen, Carsten; Ebobisse, François; McBride, Andrew T.; Reddy, B. Daya; Steinmann, Paul
2017
A virtual element method for contact. Zbl 1398.74420
Wriggers, P.; Rust, W. T.; Reddy, B. D.
2016
Phase-field modelling of fracture in single crystal plasticity. Zbl 1397.74031
De Lorenzis, L.; McBride, A.; Reddy, B. D.
2016
A natural nonconforming FEM for the Bingham flow problem is quasi-optimal. Zbl 1457.65186
Carstensen, C.; Reddy, B. D.; Schedensack, M.
2016
An unconditionally stable algorithm for generalized thermoelasticity based on operator-splitting and time-discontinuous Galerkin finite element methods. Zbl 1436.74004
Wakeni, Mebratu F.; Reddy, B. D.; McBride, A. T.
2016
A thermodynamically consistent formulation of generalized thermoelasticity at finite deformations. Zbl 1423.74249
Wakeni, M. F.; Reddy, B. D.; McBride, A. T.
2016
Uniformly convergent interior penalty methods using multilinear approximations for problems in elasticity. Zbl 1327.74133
Grieshaber, B. J.; McBride, A. T.; Reddy, B. D.
2015
Extending the robustness and efficiency of artificial compressibility for partitioned fluid-structure interactions. Zbl 1423.74864
Bogaers, A. E. J.; Kok, S.; Reddy, B. D.; Franz, T.
2015
Quasi-Newton methods for implicit black-box FSI coupling. Zbl 1423.74259
Bogaers, A. E. J.; Kok, S.; Reddy, B. D.; Franz, T.
2014
A unified computational framework for bulk and surface elasticity theory: a curvilinear-coordinate-based finite element methodology. Zbl 1311.74091
Javili, A.; McBride, A.; Steinmann, P.; Reddy, B. D.
2014
Gradient single-crystal plasticity within a Mises-Hill framework based on a new formulation of self- and latent-hardening. Zbl 1328.74021
Gurtin, Morton E.; Reddy, B. Daya
2014
Time-dependent finite element simulations of a shear-thinning viscoelastic fluid with application to blood flow. Zbl 1455.65165
Donev, I. G.; Reddy, B. D.
2014
Plasticity. Mathematical theory and numerical analysis. 2nd ed. Zbl 1258.74002
Han, Weimin; Reddy, B. Daya
2013
New stable mixed finite element approximations for problems in linear elasticity. Zbl 1352.74336
Chama, A.; Reddy, B. D.
2013
Some theoretical and computational aspects of single-crystal strain-gradient plasticity. Zbl 1435.74013
Reddy, B. D.
2013
A finite element method for a three-field formulation of linear elasticity based on biorthogonal systems. Zbl 1286.65164
Lamichhane, Bishnu P.; McBride, A. T.; Reddy, B. D.
2013
Finite element analysis and algorithms for single-crystal strain-gradient plasticity. Zbl 1242.74154
Reddy, B. D.; Wieners, C.; Wohlmuth, B.
2012
Computational model of soft tissues in the human upper airway. Zbl 1244.92013
Pelteret, J-P. V.; Reddy, B. D.
2012
The role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. II: Single-crystal plasticity. Zbl 1272.74092
Reddy, B. D.
2011
The role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. I: Polycrystalline plasticity. Zbl 1272.74091
Reddy, B. D.
2011
Modeling of polycrystals using a gradient crystal plasticity theory that includes dissipative micro-stresses. Zbl 1278.74026
Bargmann, Swantje; Reddy, B. Daya
2011
Some properties of models for generalized Oldroyd-B fluids. Zbl 1231.76012
Mohamed, H. B. H.; Reddy, B. D.
2010
Alternative formulations of isotropic hardening for Mises materials, and associated variational inequalities. Zbl 1179.74013
Gurtin, Morton E.; Reddy, B. Daya
2009
A discontinuous Galerkin formulation of a model of gradient plasticity at finite strains. Zbl 1227.74081
McBride, A. T.; Reddy, B. D.
2009
Well-posedness of a model of strain gradient plasticity for plastically irrotational materials. Zbl 1139.74009
Reddy, B. Daya; Ebobisse, François; McBride, Andrew
2008
On the mathematical formulations of a model of strain gradient plasticity. Zbl 1209.74018
Ebobisse, F.; McBride, A. T.; Reddy, B. D.
2008
Some aspects of a discontinuous Galerkin formulation for gradient plasticity at finite strains. Zbl 1209.74053
McBride, Andrew; Reddy, B. Daya
2008
A discontinuous Galerkin formulation for classical and gradient plasticity. I: Formulation and analysis. Zbl 1173.74410
Djoko, J. K.; Ebobisse, F.; McBride, A. T.; Reddy, B. D.
2007
A discontinuous Galerkin formulation for classical and gradient plasticity. II: Algorithms and numerical analysis. Zbl 1169.74595
Djoko, J. K.; Ebobisse, F.; McBride, A. T.; Reddy, B. D.
2007
Conditions for equivalence between the Hu-Washizu and related formulations, and computational behavior in the incompressible limit. Zbl 1123.74020
Djoko, J. K.; Lamichhane, B. P.; Reddy, B. D.; Wohlmuth, B. I.
2006
Convergence in the incompressible limit of finite element approximations based on the Hu-Washizu formulation. Zbl 1175.74083
Lamichhane, B. P.; Reddy, B. D.; Wohlmuth, B. I.
2006
An extended Hu-Washizu formulation for elasticity. Zbl 1122.74047
Djoko, J. K.; Reddy, B. D.
2006
A posteriori error estimation and adaptive solution of elliptic variational inequalities of the second kind. Zbl 1069.65067
Bostan, Viorel; Han, Weimin; Reddy, B. D.
2005
Finite element analysis of flows in secondary settling tanks. Zbl 1122.76347
Kleine, D.; Reddy, B. D.
2005
Uniform convergence and a posteriori error estimators for the enhanced strain finite element method. Zbl 1050.65097
Braess, D.; Carstensen, C.; Reddy, B. D.
2004
Some mathematical problems in perfect plasticity. Zbl 1112.74324
Ebobisse, François; Reddy, B. Daya
2004
A stable affine-approximate finite element method. Zbl 1215.74077
Arunakirinathar, K.; Reddy, B. D.
2002
Local and global existence of solutions to equations for flows of fibre suspensions. Zbl 1041.76081
Munganga, J. M. W.; Reddy, B. D.
2002
The equivalent parallelogram and parallelepiped, and their application to stabilized finite elements in two and three dimensions. Zbl 1049.74047
Küssner, M.; Reddy, B. D.
2001
Aspects of the thermodynamic stability of fibre suspension flows. Zbl 1029.76024
Munganga, J. M. W.; Reddy, B. D.; Diatezua, K. J.
2000
Convergence of approximations to the primal problem in plasticity under conditions of minimal regularity. Zbl 0990.74063
Han, Weimin; Reddy, B. Daya
2000
Plasticity. Mathematical theory and numerical analysis. Zbl 0926.74001
Han, Weimin; Reddy, B. Daya
1999
A new stabilization technique for finite elements in nonlinear elasticity. Zbl 0927.74070
Reese, S.; Küssner, M.; Reddy, B. D.
1999
Well-posedness of the problem of fiber suspension flows. Zbl 0951.76090
Galdi, Giovanni P.; Reddy, B. Daya
1999
Finite element simulation of the motion of a rigid body in a fluid with free surface. Zbl 0964.76037
Childs, S. J.; Reddy, B. D.
1999
Convergence analysis of discrete approximations of problems in hardening plasticity. Zbl 0957.74049
Han, Weimin; Reddy, B. Daya
1999
Introductory functional analysis. With applications to boundary value problems and finite elements. Zbl 0893.46002
Reddy, B. Daya
1998
Some low-order quadrilateral elements based on novel integration rules. Zbl 0943.74068
Reddy, B. Daya; Küssner, Martin
1998
Qualitative and numerical analysis of quasi-static problems in elastoplasticity. Zbl 0933.74010
Han, Weimin; Reddy, B. Daya; Schroeder, Gregory C.
1997
Numerical approximations of problems in plasticity: error analysis and solution algorithms. Zbl 0896.73078
Han, W.; Jensen, S.; Reddy, B. D.
1997
The four-noded quadrilateral with a $$2\times 1$$ integration rule: Application to plates and other problems. Zbl 0918.73133
Reddy, B. Daya; Küssner, Martin
1997
Stability and convergence of a class of enhanced strain methods. Zbl 0855.73073
Reddy, B. D.; Simo, J. C.
1995
On the finite element method for mixed variational inequalities arising in elastoplasticity. Zbl 0838.73072
Han, Weimin; Reddy, B. Daya
1995
Computational plasticity: The variational basis and numerical analysis. Zbl 0847.73078
Han, Weimin; Reddy, B. Daya
1995
Further results for enhanced strain methods with isoparametric elements. Zbl 0862.73056
Arunakirinathar, K.; Reddy, B. D.
1995
Some geometrical results and estimates for quadrilateral finite elements. Zbl 0846.65058
Arunakirinathar, K.; Reddy, B. D.
1995
Acceleration waves in finitely deformed elastic-plastic solids. Zbl 0842.73026
Reddy, B. D.; Gültop, T.
1995
On the stabilization of the rectangular 4-node quadrilateral element. Zbl 0804.73058
Hueck, U.; Reddy, B. D.; Wriggers, P.
1994
The variational formulation and solution of problems of finite-strain elastoplasticity based on the use of a dissipation function. Zbl 0805.73079
Eve, R. A.; Reddy, B. D.
1994
Mixed finite element methods for elastic rods of arbitrary geometry. Zbl 0794.73070
Arunakirinathar, K.; Reddy, B. D.
1993
Existence of solutions to a quasistatic problem of elastoplasticity. Zbl 0802.73022
Reddy, B. D.
1993
The steady Navier-Stokes equations with mixed boundary conditions: Application to free boundary flows. Zbl 0774.76022
Le Roux, C.; Reddy, B. D.
1993
Piecewise smooth dissipation and yield functions in plasticity. Zbl 0783.73022
Martin, J. B.; Reddy, B. D.
1993
Mixed variational inequalities arising in elastoplasticity. Zbl 0768.49008
Reddy, B. D.
1992
Mixed finite element methods for the circular arch problem. Zbl 0763.73056
Reddy, B. D.; Volpi, M. B.
1992
Mixed finite element methods for one-dimensional problems: A survey. Zbl 0785.65105
Reddy, B. D.
1992
Algorithms for the solution of internal variable problems in plasticity. Zbl 0744.73023
Reddy, B. D.; Martin, J. B.
1991
An internal variable theory of elastoplasticity based on the maximum plastic work inequality. Zbl 0693.73008
Eve, R. A.; Reddy, B. D.; Rockafellar, R. T.
1990
An internal variable finite-strain theory of plasticity within the framework of convex analysis. Zbl 0714.73037
Eve, R. A.; Gültop, T.; Reddy, B. D.
1990
The obstacle problem for an elastoplastic body. Zbl 0709.73020
Reddy, B. D.; Tomarelli, F.
1990
On the approximation of the spectrum of the Stokes operator. Zbl 0683.65095
Geveci, Tunc; Reddy, B. Daya; Pearce, Howard T.
1989
Convergence of mixed finite element approximation for the shallow arch problem. Zbl 0628.73084
Reddy, B. D.
1988
Variational principles and convergence of finite element approximations of a holonomic elastic-plastic problem. Zbl 0618.73034
Reddy, B. D.; Griffin, T. B.
1988
A numerical study of holonomic approximations to problems in plasticity. Zbl 0635.73043
Griffin, T. B.; Reddy, B. D.; Martin, J. B.
1988
Finite element analysis of the stability of fluid motions. Zbl 0652.76032
Reddy, B. D.; Voyé, H. F.
1988
Extremal paths and holonomic constitutive laws in elastoplasticity. Zbl 0632.73034
Reddy, B. D.; Martin, J. B.; Griffin, T. B.
1987
The influence of constraints on the properties of acceleration waves in isotropic thermoelastic media. Zbl 0617.73008
Bleach, G. P.; Reddy, B. D.
1987
Functional analysis and boundary-value problems: An introductory treatment. Zbl 0653.46003
Reddy, B. Dayanand
1986
The solution of multi-parameter systems of equations with application to problems in nonlinear elasticity. Zbl 0588.73022
Duffett, G. A.; Reddy, B. D.
1986
A penalty approach to the rate problem in small-strain plasticity. Zbl 0588.73057
Reddy, B. D.; Griffin, T. B.; Marais, M. J.
1985
The propagation and growth of acceleration waves in constrained thermoelastic materials. Zbl 0573.73032
Reddy, B. D.
1984
Acceleration waves in isotropic constrained thermoelastic materials. Zbl 0573.73033
Reddy, B. D.
1984
The analysis of incompressible hyperelastic bodies by the finite element method. Zbl 0522.73059
Duffett, Gino; Reddy, B. D.
1983
The occurrence of surface instabilities and shear bands in plane-strain deformation of an elastic half-space. Zbl 0531.73029
Reddy, B. D.
1983
The analysis of elastic-plastic plates: A quadratic programming problem and its solution by finite elements. Zbl 0509.73080
Reddy, B. D.; Mitchell, G. P.
1983
Surface instabilities on an equibiaxially stretched elastic half-space. Zbl 0519.73032
Reddy, B. D.
1982
Classical Buckling of a thin-walled tube subjected to bending moment and internal pressure. Zbl 0384.73024
Reddy, B. D.; Calladine, C. R.
1978
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### Cited by 916 Authors

 50 Reddy, B. Dayanand 35 Han, Weimin 27 Beirão da Veiga, Lourenço 27 Sofonea, Mircea 26 Wriggers, Peter 14 Carstensen, Carsten 14 Hudobivnik, Blaž 14 Lovadina, Carlo 13 Neff, Patrizio 13 Stefanelli, Ulisse 12 Aldakheel, Fadi 12 Lamichhane, Bishnu Prasad 12 Roubíček, Tomáš 12 Wohlmuth, Barbara I. 11 McBride, Andrew T. 11 Miehe, Christian 10 Artioli, Edoardo 10 Mora, David 9 Cheng, Xiaoliang 9 Djoko, Jules K. 9 Marotti de Sciarra, Francesco 9 Steinmann, Paul 9 Wieners, Christian 8 Auricchio, Ferdinando 8 Borokinni, Adebowale S. 8 Manzini, Gianmarco 8 Migórski, Stanisław 8 Russo, Alessandro 8 Vacca, Giuseppe 7 Dassi, Franco 7 Ebobisse, François Bille 7 Javili, Ali 7 Matei, Andaluzia Cristina 7 Sysala, Stanislav 7 Valdman, Jan 7 Xie, Xiaoping 6 Chełmiński, Krzysztof 6 Nguyen-Xuan, Hung 6 Reese, Stefanie 6 Wulfinghoff, Stephan 5 Areias, Pedro M. A. 5 Brezzi, Franco 5 Čermák, Martin 5 Cervera, Miguel 5 Chiumenti, Michele 5 Marini, Luisa Donatella 5 Mielke, Alexander 5 Repin, Sergeĭ Igorevich 5 Sacco, Elio 5 Svendsen, Bob 4 Akinola, Ade P. 4 Alberty, Jochen 4 Bartels, Sören 4 Böhlke, Thomas 4 Fadodun, O. O. 4 Gurtin, Morton Edward 4 Huang, Jianguo 4 Huang, Nan-Jing 4 Küssner, Martin 4 Layeni, Olawanle P. 4 Mackerle, Jaroslav 4 Mascotto, Lorenzo 4 Rivera, Gonzalo 4 Ruiz-Baier, Ricardo 4 Schroder, Andreas 4 Schröder, Jörg 4 Tang, Guoji 4 van Huyssteen, Daniel 4 Velásquez, Iván G. 4 Venini, Paolo 4 Wheeler, Mary Fanett 4 Zhou, Tianxiao 3 Alyavuz, Bahadir 3 Armero, Francisco 3 Barboteu, Mikaël 3 Chau, Oanh 3 Chen, Long 3 Chi, Heng 3 Childs, S. J. 3 Christof, Constantin 3 Codina, Ramon 3 de Borst, René 3 de Miranda, Stefano 3 DeSimone, Antonio 3 Ern, Alexandre 3 Grandi, Diego 3 Grieshaber, Beverley J. 3 Gültop, T. 3 Hansbo, Peter 3 Haslinger, Jaroslav 3 Hintermüller, Michael 3 Kanno, Yoshihiro 3 Kiendl, Josef 3 Lew, Adrian J. 3 Mahnken, Rolf 3 Mantič, Vladislav 3 Ming, Pingbing 3 Mordukhovich, Boris S. 3 Munganga, Justin Manango W. 3 Panagiotopoulos, Christos G. ...and 816 more Authors
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### Cited in 145 Serials

 162 Computer Methods in Applied Mechanics and Engineering 43 International Journal for Numerical Methods in Engineering 38 Computational Mechanics 21 Computers & Mathematics with Applications 21 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 19 Numerische Mathematik 19 Continuum Mechanics and Thermodynamics 12 Journal of the Mechanics and Physics of Solids 12 Journal of Computational and Applied Mathematics 11 European Journal of Mechanics. A. Solids 10 Applied Numerical Mathematics 9 Acta Mechanica 9 SIAM Journal on Numerical Analysis 9 Mathematics and Mechanics of Solids 9 Engineering Computations 8 International Journal of Engineering Science 8 Mathematical Methods in the Applied Sciences 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 7 Journal of Scientific Computing 7 GAMM-Mitteilungen 6 International Journal of Plasticity 6 Applied Mathematics and Computation 6 Optimization 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Archive for Rational Mechanics and Analysis 5 Mathematics of Computation 5 Mathematics and Computers in Simulation 5 Numerical Methods for Partial Differential Equations 5 Communications in Numerical Methods in Engineering 5 Nonlinear Analysis. Real World Applications 5 Archives of Computational Methods in Engineering 5 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Computational Physics 4 Journal of Mathematical Analysis and Applications 4 Numerical Functional Analysis and Optimization 4 Journal of Elasticity 4 Calculus of Variations and Partial Differential Equations 3 Applicable Analysis 3 International Journal of Solids and Structures 3 Calcolo 3 Meccanica 3 Applied Mathematics and Mechanics. (English Edition) 3 Applied Mathematics Letters 3 European Journal of Applied Mathematics 3 Numerical Algorithms 3 Applied Mathematical Modelling 3 International Journal of Computer Mathematics 3 SIAM Journal on Mathematical Analysis 3 Archive of Applied Mechanics 3 SIAM Journal on Optimization 3 Computational Optimization and Applications 3 SIAM Journal on Scientific Computing 3 Engineering Analysis with Boundary Elements 3 Mathematical Problems in Engineering 3 Journal of Mathematical Fluid Mechanics 3 Communications in Nonlinear Science and Numerical Simulation 3 The ANZIAM Journal 3 Theoretical and Applied Mechanics 3 Mathematics and Mechanics of Complex Systems 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 International Journal for Numerical Methods in Fluids 2 Journal of Engineering Mathematics 2 Journal of Differential Equations 2 Mechanics Research Communications 2 Quarterly of Applied Mathematics 2 SIAM Journal on Control and Optimization 2 Mathematical and Computer Modelling 2 Japan Journal of Industrial and Applied Mathematics 2 Applications of Mathematics 2 SIAM Journal on Applied Mathematics 2 Journal of Nonlinear Science 2 Journal of Mathematical Sciences (New York) 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Optimization and Engineering 2 Discrete and Continuous Dynamical Systems. Series B 2 Computational Methods in Applied Mathematics 2 Journal of Applied Mathematics 2 Acta Numerica 2 Acta Mechanica Sinica 2 Set-Valued and Variational Analysis 2 Nonlinear Analysis. Theory, Methods & Applications 1 Modern Physics Letters B 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Applied Mathematics and Mechanics 1 Journal of the Franklin Institute 1 Mathematical Biosciences 1 Chaos, Solitons and Fractals 1 Prikladnaya Matematika i Mekhanika 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 BIT 1 Fuzzy Sets and Systems 1 Journal of Optimization Theory and Applications 1 Mathematische Nachrichten 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quaestiones Mathematicae 1 Chinese Annals of Mathematics. Series B 1 Computer Aided Geometric Design 1 Journal of the Nigerian Mathematical Society ...and 45 more Serials
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### Cited in 28 Fields

 555 Mechanics of deformable solids (74-XX) 259 Numerical analysis (65-XX) 118 Partial differential equations (35-XX) 99 Calculus of variations and optimal control; optimization (49-XX) 71 Fluid mechanics (76-XX) 27 Operator theory (47-XX) 22 Operations research, mathematical programming (90-XX) 10 Biology and other natural sciences (92-XX) 9 Optics, electromagnetic theory (78-XX) 7 Ordinary differential equations (34-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Mechanics of particles and systems (70-XX) 5 Systems theory; control (93-XX) 3 Computer science (68-XX) 3 Quantum theory (81-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)