## Rajagopal, Kumbakonam Ramamani

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 Author ID: rajagopal.kumbakonam-ramamani Published as: Rajagopal, K. R.; Rajagopal, Kumbakonam R.; Rajagopal, Kumbakonam; Rajagopal, K.; Rajagopal, Kumbakonam Ramamani more...less Homepage: https://engineering.tamu.edu/mechanical/people/rajagopal-kumbakonam External Links: MGP
 Documents Indexed: 439 Publications since 1978, including 4 Books 6 Contributions as Editor Biographic References: 5 Publications Co-Authors: 163 Co-Authors with 359 Joint Publications 2,493 Co-Co-Authors
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### Co-Authors

 54 single-authored 48 Wineman, Alan S. 34 Málek, Josef 31 Srinivasa, Arun R. 26 Tao, Luoyi 21 Saccomandi, Giuseppe 19 Bustamante, Roger 14 Darbha, Swaroop 11 Vergori, Luigi 10 Chen, Guoqian 9 Hron, Jaroslav 9 Itou, Hiromichi 9 Kovtunenko, Viktor Anatolievich 9 Průša, Vít 9 Rao, Isabelle J. 8 Bulíček, Miroslav 8 Massoudi, Mehrdad 8 Saravanan, Umakanthan 7 Anand, Mohan 7 Humphrey, Jay D. 6 Farina, Angiolo 6 Fusi, Lorenzo 6 Muliana, Anastasia Hanifah 5 Fasano, Antonio 5 Huang, Yuning 5 Quintanilla de Latorre, Ramón 4 Alagappan, P. 4 Baldoni, F. 4 Dai, Fuling 4 Fosdick, Roger L. 4 Gandhi, Mukesh V. 4 Huntley, Hugh E. 4 Mansutti, Daniela 4 Mollica, Francesco 4 Na, Tsung-Yen 4 Nečas, Jindřich 4 Růžička, Michael 3 Bandelli, R. 3 Bridges, Craig 3 Carroll, Michael M. 3 Chen, Yichao 3 Freed, Alan David 3 Galdi, Giovanni Paolo 3 Girault, Vivette 3 Hall, Richard B. 3 Kaloni, Purna N. 3 Karra, Satish 3 Masud, Arif 3 McLeod, John Bryce 3 Prasad, Sharat C. 3 Pražák, Dalibor 3 Rajagopal, Keshava 3 Shi, John Jin-Jau 3 Subramanian, Shankar C. 3 Švihlová, Helena 3 Troy, William C. 3 Walton, Jay R. 2 Anguiano, Marcelino 2 Baek, Seungik 2 Gajendran, Harishanker 2 Garimella, Sai Manikiran 2 Gomez-Constante, Juan P. 2 Grasley, Zachary C. 2 Gustafsson, Tom 2 Heida, Martin 2 Huilgol, Raja R. 2 Kratochvil, Jan 2 Lapczyk, I. 2 Le Roux, Christiaan 2 Maneschy, C. E. 2 Mir-Mohamad-Sadegh, Ali 2 Nagarajan, Harsha 2 Nakshatrala, K. B. 2 Pontrelli, Giuseppe 2 Pradeep, H. 2 Pravin, V. K. 2 Rajagopal, K. R. 2 Rathinam, Sivakumar 2 Ravindran, Parag 2 Srinivasan, Shriram 2 Stenberg, Rolf 2 Süli, Endre E. 2 Truesdell, Clifford Ambrose III 2 Veena, P. H. 2 Videman, Juha Hans 2 Yadlapalli, Sai Krishna 1 Abel, M. Subhas 1 Antaki, James F. 1 Atul Narayan, S. P. 1 Barot, G. 1 Bellout, Hamid 1 Bernardi, Christine 1 Bernstein, Barry 1 Bharadwaj, Keshav 1 Blechta, Jan 1 Bodnár, Tomáš 1 Bonito, Andrea 1 Borsi, Iacopo 1 Bower, M. V. 1 Chao, Ru-Min 1 Christie, Ian ...and 67 more Co-Authors
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### Serials

 50 International Journal of Engineering Science 31 Acta Mechanica 29 ZAMP. Zeitschrift für angewandte Mathematik und Physik 27 Mathematics and Mechanics of Solids 20 International Journal of Non-Linear Mechanics 15 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 15 Journal of Elasticity 11 Archives of Mechanics 11 Mechanics Research Communications 11 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 10 International Journal of Plasticity 10 Journal of Non-Newtonian Fluid Mechanics 9 Archive for Rational Mechanics and Analysis 8 Nonlinear Analysis. Real World Applications 7 Applications of Mathematics 7 Communications in Nonlinear Science and Numerical Simulation 6 IMA Journal of Applied Mathematics 5 Computers & Mathematics with Applications 5 Theoretical and Computational Fluid Dynamics 4 International Journal of Solids and Structures 4 Journal of Fluid Mechanics 4 Quarterly Journal of Mechanics and Applied Mathematics 4 Applied Mathematics and Computation 4 Meccanica 4 Applied Mathematical Modelling 4 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 4 Continuum Mechanics and Thermodynamics 4 Nonlinear Analysis. Hybrid Systems 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Mathematical and Physical Sciences 3 Rheologica Acta 3 Bulletin of the Technical University of Istanbul 3 Mathematics and Computers in Simulation 3 Quarterly of Applied Mathematics 3 Journal of Hydrodynamics. Ser. B 3 Mathematical Proceedings of the Royal Irish Academy 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 International Journal for Numerical Methods in Fluids 2 Acta Ciencia Indica. Mathematics 2 Le Matematiche 2 Applied Mathematics Letters 2 SIAM Journal on Mathematical Analysis 2 Mathematical Problems in Engineering 2 International Journal of Applied Mechanics and Engineering 2 International Journal of Fracture 2 Series on Advances in Mathematics for Applied Sciences 2 Discrete and Continuous Dynamical Systems. Series S 2 Proceedings A. Royal Society of London 2 Modeling and Simulation in Science, Engineering and Technology 1 Computers and Structures 1 International Journal of Heat and Mass Transfer 1 Journal of Applied Mechanics 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Journal of Rheology 1 Mathematical Methods in the Applied Sciences 1 Wave Motion 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 IEEE Transactions on Automatic Control 1 Indiana University Mathematics Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Systems & Control Letters 1 Note di Matematica 1 Rendiconti. Scienze Matemàtiche e Applicazioni. A 1 Computational Mechanics 1 European Journal of Mechanics. B. Fluids 1 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Advances in Mathematical Sciences and Applications 1 Calculus of Variations and Partial Differential Equations 1 ETNA. Electronic Transactions on Numerical Analysis 1 Applied Mechanics and Engineering 1 Nonlinear Dynamics 1 Journal of Theoretical Medicine 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical & Computational Applications 1 European Journal of Mechanics. B. Fluids 1 Interfaces and Free Boundaries 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 CMES. Computer Modeling in Engineering & Sciences 1 Journal of Turbulence 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Inverse Problems in Science and Engineering 1 Differential Equations & Nonlinear Mechanics 1 AMD-Volumes 1 Advances in Mechanics and Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Journal of Logic and Analysis 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Jindřich Nečas Center for Mathematical Modeling Lecture Notes 1 Journal of Theoretical Biology 1 JSIAM Letters 1 Evolution Equations and Control Theory 1 EMS Surveys in Mathematical Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Modern Birkhäuser Classics
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### Fields

 225 Fluid mechanics (76-XX) 221 Mechanics of deformable solids (74-XX) 62 Partial differential equations (35-XX) 39 Classical thermodynamics, heat transfer (80-XX) 20 Biology and other natural sciences (92-XX) 15 Statistical mechanics, structure of matter (82-XX) 10 Systems theory; control (93-XX) 9 Optics, electromagnetic theory (78-XX) 7 General and overarching topics; collections (00-XX) 7 Ordinary differential equations (34-XX) 7 Operations research, mathematical programming (90-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of particles and systems (70-XX) 4 Numerical analysis (65-XX) 2 Combinatorics (05-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

373 Publications have been cited 6,334 times in 2,561 Documents Cited by Year
Mechanics of mixtures. Zbl 0941.74500
Rajagopal, K. R.; Tao, L.
1995
Mathematical modeling of electrorheological materials. Zbl 0971.76100
Rajagopal, K. R.; Růžička, M.
2001
Fluids of differential type: Critical review and thermodynamic analysis. Zbl 0899.76062
Dunn, J. E.; Rajagopal, K. R.
1995
On implicit constitutive theories. Zbl 1099.74009
Rajagopal, K. R.
2003
A thermodynamic framework for rate-type fluid models. Zbl 0960.76005
Rajagopal, K. R.; Srinivasa, A. R.
2000
Thermodynamics and stability of fluids of third grade. Zbl 0441.76002
Fosdick, R. L.; Rajagopal, K. R.
1980
Anomalous features in the model of ”second order fluids”. Zbl 0427.76006
Fosdick, R. L.; Rajagopal, K. R.
1979
On a hierarchy of approximate models for flows of incompressible fluids through porous solids. Zbl 1123.76066
Rajagopal, K. R.
2007
A note on unsteady unidirectional flows of a non-Newtonian fluid. Zbl 0527.76003
Rajagopal, K. R.
1982
On boundary conditions for fluids of the differential type. Zbl 0846.35107
Rajagopal, K. R.
1995
A constrained mixture model for growth and remodeling of soft tissues. Zbl 1021.74026
Humphrey, J. D.; Rajagopal, K. R.
2002
An exact solution for the flow of a non-Newtonian fluid past an infinite porous plate. Zbl 0552.76008
Rajagopal, K. R.; Gupta, A. S.
1984
The elasticity of elasticity. Zbl 1113.74006
Rajagopal, K. R.
2007
Start-up flows of second grade fluids in domains with one finite dimension. Zbl 0866.76004
Bandelli, R.; Rajagopal, K. R.
1995
Exact solutions for some simple flows of an Oldroyd-B fluid. Zbl 0858.76010
Rajagopal, K. R.; Bhatnagar, R. K.
1995
On implicit constitutive theories for fluids. Zbl 1097.76009
Rajagopal, K. R.
2006
On the response of non-dissipative solids. Zbl 1129.74010
Rajagopal, K. R.; Srinivasa, A. R.
2007
On the creeping flow of the second-order fluid. Zbl 0568.76015
Rajagopal, K. R.
1984
Mechanics of non-Newtonian fluids. Zbl 0818.76003
Rajagopal, K. R.
1993
On the modeling of electrorheological materials. Zbl 0890.76007
Rajagopal, K. R.; Růžička, M.
1996
Existence and regularity of solutions and the stability of the rest state for fluids with shear dependent viscosity. Zbl 0838.76005
Málek, J.; Rajagopal, K. R.; Růžička, M.
1995
On a class of non-dissipative materials that are not hyperelastic. Zbl 1186.74009
Rajagopal, K. R.; Srinivasa, A. R.
2009
Mathematical issues concerning the Navier-Stokes equations and some of its generalizations. Zbl 1095.35027
Málek, J.; Rajagopal, K. R.
2005
Conspectus of concepts of elasticity. Zbl 1269.74014
Rajagopal, K. R.
2011
On the Oberbeck-Boussinesq approximation. Zbl 0883.76078
Rajagopal, K. R.; Ruzicka, M.; Srinivasa, A. R.
1996
Navier’s slip and evolutionary Navier-Stokes-like systems with pressure and shear-rate dependent viscosity. Zbl 1129.35055
Bulíček, M.; Málek, J.; Rajagopal, K. R.
2007
Mechanics of the inelastic behavior of materials. I: Theoretical underpinnings. Zbl 0978.74013
Rajagopal, K. R.; Srinivasa, A. R.
1998
On thermomechanical restrictions of continua. Zbl 1041.74002
Rajagopal, K. R.; Srinivasa, A. R.
2004
On boundary conditions for a certain class of problems in mixture theory. Zbl 0594.73007
Rajagopal, K. R.; Wineman, A. S.; Gandhi, M.
1986
Global analysis of the flows of fluids with pressure-dependent viscosities. Zbl 1022.76011
Málek, Josef; Nečas, Jindřich; Rajagopal, K. R.
2002
A constitutive equation for nonlinear solids which undergo deformation induced microstructural changes. Zbl 0765.73005
Rajagopal, K. R.; Wineman, A. S.
1992
Simple flows of fluids with pressure-dependent viscosities. Zbl 1052.76017
Hron, J.; Málek, J.; Rajagopal, K. R.
2001
Bandelli, R.; Rajagopal, K. R.; Galdi, G. P.
1995
The effect of the slip boundary condition on the flow of fluids in a channel. Zbl 0936.76013
Rao, I. J.; Rajagopal, K. R.
1999
Flow of viscoelastic fluids between rotating disks. Zbl 0747.76018
Rajagopal, K. R.
1992
An introduction to the mechanics of fluids. Zbl 0942.76001
Truesdell, C.; Rajagopal, K. R.
2000
A note on the flow induced by a constantly accelerating plate in an Oldroyd-B fluid. Zbl 1287.76047
Fetecau, Constantin; Prasad, Sharat C.; Rajagopal, K. R.
2007
An existence theorem for the flow of a non-Newtonian fluid past an infinite porous plate. Zbl 0599.76013
Rajagopal, K. R.; Szeri, A. Z.; Troy, W.
1986
A note on the Falkner-Skan flows of a non-Newtonian fluid. Zbl 0527.76010
Rajagopal, K. R.; Gupta, A. S.; Na, T. Y.
1983
On flows of granular materials. Zbl 0804.73003
Hutter, K.; Rajagopal, K. R.
1994
On the uniqueness of flow of a Navier-Stokes fluid due to a stretching boundary. Zbl 0631.76021
McLeod, J. B.; Rajagopal, K. R.
1987
Some remarks on boundary conditions for flows of fluids of the differential type. Zbl 0706.76008
Rajagopal, K. R.; Kaloni, P. N.
1989
Mathematical analysis of unsteady flows of fluids with pressure, shear-rate, and temperature dependent material moduli that slip at solid boundaries. Zbl 1195.35239
Bulíček, M.; Málek, J.; Rajagopal, K. R.
2009
Mechanics of the inelastic behavior of materials. II: Inelastic response. Zbl 0978.74014
Rajagopal, K. R.; Srinivasa, A. R.
1998
On the thermomechanics of materials that have multiple natural configurations part I: Viscoelasticity and classical plasticity. Zbl 1180.74006
Rajagopal, K. R.; Srinivasa, A. R.
2004
On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework. Zbl 1295.76002
Heida, Martin; Málek, Josef; Rajagopal, K. R.
2012
On the thermodynamics of fluids defined by implicit constitutive relations. Zbl 1149.76007
Rajagopal, K. R.; Srinivasa, A. R.
2008
The flow of blood in tubes: Theory and experiment. Zbl 0962.76648
Yeleswarapu, K. K.; Kameneva, M. V.; Rajagopal, K. R.; Antaki, J. F.
1998
On the nonlinear elastic response of bodies in the small strain range. Zbl 1401.74045
Rajagopal, K. R.
2014
On steady flows of fluids with pressure- and shear-dependent viscosities. Zbl 1145.76311
Franta, M.; Málek, J.; Rajagopal, K. R.
2005
Nonlinear elastic bodies exhibiting limiting small strain. Zbl 1269.74026
Rajagopal, K. R.
2011
Longitudinal and torsional oscillations of a rod in a non-Newtonian fluid. Zbl 0539.76005
Rajagopal, K. R.
1983
Modeling fracture in the context of a strain-limiting theory of elasticity: a single anti-plane shear crack. Zbl 1283.74074
Rajagopal, K. R.; Walton, J. R.
2011
Applications of the theory of interacting continua to the diffusion of a fluid through a nonlinear elastic media. Zbl 0495.73047
Shi, John Jin-Jau; Rajagopal, K. R.; Wineman, A. S.
1981
A note on plane strain and plane stress problems for a new class of elastic bodies. Zbl 1257.74022
Bustamante, R.; Rajagopal, K. R.
2010
On Stokes’ problem for a non-Newtonian fluid. Zbl 0528.76003
Rajagopal, K. R.; Na, T. Y.
1983
A thermodynamic framework for the study of crystallization in polymers. Zbl 1010.80005
Rao, I. J.; Rajagopal, K. R.
2002
A note on the flow of a Burgers’ fluid in an orthogonal rheometer. Zbl 1211.76011
Ravindran, Parag; Krishnan, J. Murali; Rajagopal, K. R.
2004
On the thermomechanics of shape memory wires. Zbl 0951.74005
Rajagopal, K. R.; Srinivasa, A. R.
1999
Theory of small on large: Potential utility in computations of fluid-solid interactions in arteries. Zbl 1127.74026
Baek, S.; Gleason, R. L.; Rajagopal, K. R.; Humphrey, J. D.
2007
Stagnation point flow of a non-Newtonian fluid. Zbl 0727.76003
Garg, Vijay K.; Rajagopal, K. R.
1990
A model incorporating some of the mechanical and biochemical factors underlying clot formation and dissolution in flowing blood. Zbl 1078.92017
Anand, M.; Rajagopal, K.; Rajagopal, K. R.
2003
On a class of exact solutions to the equations of motion of a second grade fluid. Zbl 0466.76008
Rajagopal, K. R.; Gupta, A. S.
1981
On the Oberbeck-Boussinesq approximation for fluids with pressure dependent viscosities. Zbl 1167.76368
Rajagopal, K. R.; Saccomandi, G.; Vergori, L.
2009
Modeling anisotropic fluids within the framework of bodies with multiple natural configurations. Zbl 1028.76002
Rajagopal, K. R.; Srinivasa, A. R.
2001
Uniqueness and drag for fluids of second grade in steady motion. Zbl 0392.76005
Fosdick, R. L.; Rajagopal, K. R.
1978
Boundedness and uniqueness of fluids of the differential type. Zbl 0555.76011
Rajagopal, K. R.
1982
On a new class of models in elasticity. Zbl 1371.74050
Rajagopal, K. R.
2010
A numerical study of a plate with a hole for a new class of elastic bodies. Zbl 1356.74122
Ortiz, A.; Bustamante, R.; Rajagopal, K. R.
2012
On the nature of constraints for continua undergoing dissipative processes. Zbl 1186.74008
Rajagopal, K. R.; Srinivasa, A. R.
2005
On a constitutive theory for materials undergoing microstructural changes. Zbl 0733.73001
Wineman, A. S.; Rajagopal, K. R.
1990
Modeling fracture in the context of a strain-limiting theory of elasticity: a single plane-strain crack. Zbl 1423.74824
Gou, K.; Mallikarjuna, M.; Rajagopal, K. R.; Walton, J. R.
2015
Numerical simulations and global existence of solutions of two-dimensional flows of fluids with pressure- and shear-dependent viscosities. Zbl 1205.76159
Hron, J.; Málek, J.; Nečas, J.; Rajagopal, K. R.
2003
Flow of a non-Newtonian fluid between heated parallel plates. Zbl 0583.76006
Szeri, A. Z.; Rajagopal, K. R.
1985
On a new class of electroelastic bodies. I. Zbl 1371.74095
Bustamante, R.; Rajagopal, K. R.
2013
On elastic solids with limiting small strain: modelling and analysis. Zbl 1314.35184
Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Süli, Endre
2014
On the flow of a simple fluid in an orthogonal rheometer. Zbl 0513.76002
Rajagopal, K. R.
1982
A model for the formation, growth, and lysis of clots in quiescent plasma. A comparison between the effects of antithrombin III deficiency and protein C deficiency. Zbl 1398.92065
Anand, M.; Rajagopal, K.; Rajagopal, K. R.
2008
On the inelastic behavior of solids. I: Twinning. Zbl 0858.73006
Rajagopal, K. R.; Srinivasa, A. R.
1995
On the thermomechanics of materials that have multiple natural configurations. Zbl 1125.74303
Rajagopal, K. R.; Srinivasa, A. R.
2004
Flow through porous media due to high pressure gradients. Zbl 1228.76161
Kannan, K.; Rajagopal, K. R.
2008
On an inconsistency in the derivation of the equations of elastohydrodynamic lubrication. Zbl 1041.76019
Rajagopal, K. R.; Szeri, A. Z.
2003
Swirling flow between rotating plates. Zbl 0594.76022
Parter, Seymour V.; Rajagopal, K. R.
1984
Mechanics and mathematics of fluids of the differential type. Zbl 1365.76001
Cioranescu, D.; Girault, V.; Rajagopal, K. R.
2016
Nonlinear elasticity with limiting small strain for cracks subject to non-penetration. Zbl 1371.74245
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
2017
On fully developed flows of fluids with a pressure dependent viscosity in a pipe. Zbl 1099.76019
Vasudevaiah, Macherla; Rajagopal, Kumbakonam R.
2005
On the classification of incompressible fluids and a mathematical analysis of the equations that govern their motion. Zbl 1432.76075
Blechta, Jan; Málek, Josef; Rajagopal, K. R.
2020
On a boundary layer theory for non-Newtonian fluids. Zbl 0426.76004
Rajagopal, K. R.; Gupta, A. S.; Wineman, A. S.
1980
Global existence of solutions for flows of fluids with pressure and shear dependent viscosities. Zbl 1062.76011
Málek, J.; Nečas, J.; Rajagopal, K. R.
2002
Natural convection flow of a non-Newtonian fluid between two vertical flat plates. Zbl 0558.76008
Rajagopal, K. R.; Na, T. Y.
1985
Existence of solutions for the anti-plane stress for a new class of “strain-limiting” elastic bodies. Zbl 1329.35302
Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Walton, Jay R.
2015
Generalizations of the Navier-Stokes fluid from a new perspective. Zbl 1231.76073
Málek, J.; Průša, V.; Rajagopal, K. R.
2010
Flow of an Oldroyd-B fluid due to a stretching sheet in the presence of a free stream velocity. Zbl 0837.76009
Bhatnagar, R. K.; Gupta, G.; Rajagopal, K. R.
1995
New universal relations for nonlinear isotropic elastic materials. Zbl 0602.73017
Rajagopal, K. R.; Wineman, Alan S.
1987
A non-similar boundary layer on a stretching sheet in a non-Newtonian fluid with uniform free stream. Zbl 0626.76007
Rajagopal, K. R.; Na, T. Y.; Gupta, A. S.
1987
Some nonlinear diffusion problems within the context of the theory of interacting continua. Zbl 0632.73008
Gandhi, M. V.; Rajagopal, K. R.; Wineman, A. S.
1987
On Kelvin-Voigt model and its generalizations. Zbl 1371.74067
Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.
2012
On the shear and bending of a degrading polymer beam. Zbl 1134.74329
Rajagopal, K. R.; Srinivasa, A. R.; Wineman, A. S.
2007
On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph. Zbl 1296.35137
Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Rajagopal, Kumbakonam R.; Świerczewska-Gwiazda, Agnieszka
2012
A study of strain-induced crystallization of polymers. Zbl 1010.76089
Rao, I. J.; Rajagopal, K. R.
2001
A three-dimensional implicit constitutive relation for a body exhibiting stress softening. I: Theoretical underpinnings. Zbl 07558305
Bustamante, R.; Rajagopal, K. R.
2022
A thermodynamic framework for additive manufacturing, using amorphous polymers, capable of predicting residual stress, warpage and shrinkage. Zbl 07314425
Sreejith, P.; Kannan, K.; Rajagopal, K. R.
2021
A model for a solid undergoing rate-independent dissipative mechanical processes. Zbl 07357400
Saravanan, Umakanthan; Rajagopal, Kumbakonam R.; Tom, Roshan M.; Bharadwaj, Keshav
2021
Lagrange multiplier approach to unilateral indentation problems: well-posedness and application to linearized viscoelasticity with non-invertible constitutive response. Zbl 1473.35551
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
2021
A thermomechanical and photochemical description of the phase change process in roll-to-roll nanoimprinting lithography. Zbl 07444783
Gomez-Constante, J. P.; Pagilla, P. R.; Rajagopal, K. R.
2021
On the classification of incompressible fluids and a mathematical analysis of the equations that govern their motion. Zbl 1432.76075
Blechta, Jan; Málek, Josef; Rajagopal, K. R.
2020
A review of implicit constitutive theories to describe the response of elastic bodies. Zbl 1445.74004
Bustamante, Roger; Rajagopal, Kumbakonam
2020
The Boussinesq flat-punch indentation problem within the context of linearized viscoelasticity. Zbl 1465.74129
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
2020
Chemo-mechanical coupling and material evolution in finitely deforming solids with advancing fronts of reactive fluids. Zbl 1440.74118
Anguiano, Marcelino; Gajendran, Harishanker; Hall, Richard B.; Rajagopal, Kumbakonam R.; Masud, Arif
2020
Crack problem within the context of implicitly constituted quasi-linear viscoelasticity. Zbl 1411.35249
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
2019
The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies. Zbl 1415.74011
Kulvait, Vojtěch; Málek, Josef; Rajagopal, K. R.
2019
Well-posedness of the problem of non-penetrating cracks in elastic bodies whose material moduli depend on the mean normal stress. Zbl 1425.74081
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
2019
A thermodynamically consistent model for viscoelastic polymers undergoing microstructural changes. Zbl 1425.74025
Song, Ruyue; Muliana, Anastasia; Rajagopal, Kumbakonam
2019
A decomposition of Laplace stretch with applications in inelasticity. Zbl 1459.74005
Freed, Alan D.; le Graverend, Jean-Briac; Rajagopal, K. R.
2019
Some remarks and clarifications concerning the restrictions placed on thermodynamic processes. Zbl 1423.80009
Rajagopal, K. R.; Srinivasa, A. R.
2019
On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body. Zbl 1404.74028
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
2018
A nonlinear model for describing the mechanical behaviour of rock. Zbl 1381.74148
Bustamante, R.; Rajagopal, K. R.
2018
An adaptive finite element method for the inequality-constrained Reynolds equation. Zbl 1440.76066
Gustafsson, Tom; Rajagopal, Kumbakonam R.; Stenberg, Rolf; Videman, Juha
2018
A damage initiation criterion for a class of viscoelastic solids. Zbl 1402.74009
Alagappan, P.; Rajagopal, K. R.; Kannan, K.
2018
Initiation of damage in a class of polymeric materials embedded with multiple localized regions of lower density. Zbl 1395.74078
Alagappan, P.; Rajagopal, K. R.; Kannan, K.
2018
Chemo-mechanical coupling in curing and material-interphase evolution in multi-constituent materials. Zbl 1396.74053
Gajendran, Harishanker; Hall, Richard B.; Masud, Arif; Rajagopal, Kumbakonam R.
2018
Nonlinear elasticity with limiting small strain for cracks subject to non-penetration. Zbl 1371.74245
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
2017
Representations for implicit constitutive relations describing non-dissipative response of isotropic materials. Zbl 1386.74027
Gokulnath, C.; Saravanan, U.; Rajagopal, K. R.
2017
Modeling the response of light-activated shape memory polymers. Zbl 1371.74102
Yuan, Zhi; Muliana, Anastasia; Rajagopal, Kumbakonam Ramamani
2017
Contacting crack faces within the context of bodies exhibiting limiting strains. Zbl 1409.74004
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
2017
Determination of pressure data from velocity data with a view towards its application in cardiovascular mechanics. II: A study of aortic valve stenosis. Zbl 1423.76533
Švihlová, H.; Hron, J.; Málek, J.; Rajagopal, K. R.; Rajagopal, Keshava
2017
Determination of pressure data from velocity data with a view towards its application in cardiovascular mechanics. II: A study of aortic valve stenosis. Zbl 1423.76532
Švihlová, Helena; Hron, Jaroslav; Málek, Josef; Rajagopal, K. R.; Rajagopal, Keshava
2017
Mechanics and mathematics of fluids of the differential type. Zbl 1365.76001
Cioranescu, D.; Girault, V.; Rajagopal, K. R.
2016
An implicit three-dimensional model for describing the inelastic response of solids undergoing finite deformation. Zbl 1359.74053
Rajagopal, K. R.; Srinivasa, A. R.
2016
A promising approach for modeling biological fibers. Zbl 1341.74123
Freed, Alan D.; Rajagopal, K. R.
2016
Determination of pressure data from velocity data with a view toward its application in cardiovascular mechanics. I: Theoretical considerations. Zbl 1423.76531
Švihlová, Helena; Hron, Jaroslav; Málek, Josef; Rajagopal, K. R.; Rajagopal, Keshava
2016
On the consequences of the constraint of incompressibility with regard to a new class of constitutive relations for elastic bodies: small displacement gradient approximation. Zbl 1348.74018
Bustamante, R.; Rajagopal, K. R.
2016
On a possible methodology for identifying the initiation of damage of a class of polymeric materials. Zbl 1371.82157
Alagappan, P.; Kannan, K.; Rajagopal, K. R.
2016
Large deformations of a new class of incompressible elastic bodies. Zbl 1431.74021
Bustamante, R.; Orellana, O.; Meneses, R.; Rajagopal, K. R.
2016
On the stability and uniqueness of the flow of a fluid through a porous medium. Zbl 1435.76073
Hill, A. A.; Rajagopal, K. R.; Vergori, Luigi
2016
A fully coupled model for diffusion-induced deformation in polymers. Zbl 1381.82032
Parthasarathy, Sudharsan Srinivasa; Muliana, Anastasia; Rajagopal, Kumbakonam
2016
Euler-Bernoulli type beam theory for elastic bodies with nonlinear response in the small strain range. Zbl 1338.74073
Janečka, A.; Průša, V.; Rajagopal, K. R.
2016
On power-law fluids with the power-law index proportional to the pressure. Zbl 1457.76024
Málek, J.; Rajagopal, K. R.; Žabenský, J.
2016
Deformations of infinite slabs of non-linear viscoelastic solids containing an elliptic hole. Zbl 1374.74021
Alagappan, P.; Rajagopal, K. R.; Kannan, K.
2016
Modeling fracture in the context of a strain-limiting theory of elasticity: a single plane-strain crack. Zbl 1423.74824
Gou, K.; Mallikarjuna, M.; Rajagopal, K. R.; Walton, J. R.
2015
Existence of solutions for the anti-plane stress for a new class of “strain-limiting” elastic bodies. Zbl 1329.35302
Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Walton, Jay R.
2015
Implicit constitutive relations for nonlinear magnetoelastic bodies. Zbl 1371.74040
Bustamante, R.; Rajagopal, K. R.
2015
Solutions of some boundary value problems for a new class of elastic bodies undergoing small strains. Comparison with the predictions of the classical theory of linearized elasticity: Part I. Problems with cylindrical symmetry. Zbl 1317.74034
Bustamante, R.; Rajagopal, K. R.
2015
Implicit constitutive models with a thermodynamic basis: a study of stress concentration. Zbl 1317.74008
Bridges, C.; Rajagopal, K. R.
2015
A note on some new classes of constitutive relations for elastic bodies. Zbl 1327.35362
Bustamante, R.; Rajagopal, K. R.
2015
Solutions of some boundary value problems for a new class of elastic bodies. Comparison with predictions of the classical theory of linearized elasticity: Part II. A problem with spherical symmetry. Zbl 1317.74033
Bustamante, R.; Rajagopal, K. R.
2015
On the use of compatibility conditions for the strain in linear and non-linear theories of mechanics. Zbl 1327.74006
Rajagopal, Kumbakonam R.; Srinivasa, Arun R.
2015
On the determination of semi-inverse solutions of nonlinear Cauchy elasticity: the not so simple case of anti-plane shear. Zbl 1423.74136
Pucci, Edvige; Rajagopal, K. R.; Saccomandi, Giuseppe
2015
Nonlinear Reynolds equation for hydrodynamic lubrication. Zbl 1443.76037
Gustafsson, Tom; Rajagopal, K. R.; Stenberg, Rolf; Videman, Juha
2015
Study of a new class of nonlinear inextensible elastic bodies. Zbl 1383.74007
Bustamante, R.; Rajagopal, K. R.
2015
A constitutive theory for multi-functional fiber reinforced composites. Zbl 1329.74063
Wineman, Alan; Rajagopal, K. R.
2015
On the approximation of isochoric motions of fluids under different flow conditions. Zbl 1371.76052
Rajagopal, K. R.; Saccomandi, G.; Vergori, L.
2015
On the nonlinear elastic response of bodies in the small strain range. Zbl 1401.74045
Rajagopal, K. R.
2014
On elastic solids with limiting small strain: modelling and analysis. Zbl 1314.35184
Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Süli, Endre
2014
Unsteady motions of a new class of elastic solids. Zbl 1456.74017
Kannan, K.; Rajagopal, K. R.; Saccomandi, G.
2014
Circumferential stress waves in a nonlinear cylindrical annulus in a new class of elastic materials. Zbl 1347.74045
Kambapalli, M.; Kannan, K.; Rajagopal, K. R.
2014
Circularly polarized wave propagation in a class of bodies defined by a new class of implicit constitutive relations. Zbl 1308.74078
Rajagopal, K. R.; Saccomandi, Giuseppe
2014
On the natural structure of thermodynamic potentials and fluxes in the theory of chemically non-reacting binary mixtures. Zbl 1302.74003
Souček, Ondřej; Průša, Vít; Málek, Josef; Rajagopal, K. R.
2014
Universal relations for a new class of elastic bodies. Zbl 1345.74021
Rajagopal, K. R.; Wineman, Alan S.
2014
On a new class of electroelastic bodies. I. Zbl 1371.74095
Bustamante, R.; Rajagopal, K. R.
2013
Shear flows of a new class of power-law fluids. Zbl 1274.76039
Le Roux, Christiaan; Rajagopal, Kumbakonam R.
2013
A new class of quasi-linear models for describing the nonlinear viscoelastic response of materials. Zbl 1291.74051
Muliana, A.; Rajagopal, K. R.; Wineman, A. S.
2013
On a new class of electro-elastic bodies. II: Boundary value problems. Zbl 1371.74096
Bustamante, R.; Rajagopal, K. R.
2013
Unsteady flows of fluids with pressure dependent viscosity. Zbl 1304.76018
Rajagopal, K. R.; Saccomandi, G.; Vergori, L.
2013
Unsteady flows of a class of novel generalizations of the Navier-Stokes fluid. Zbl 1291.76098
Atul Narayan, S. P.; Rajagopal, K. R.
2013
On models for viscoelastic materials that are mechanically incompressible and thermally compressible or expansible and their Oberbeck-Boussinesq type approximations. Zbl 1452.76015
Průša, Vít; Rajagopal, K. R.
2013
Particle-free bodies and point-free spaces. Zbl 1423.54006
Rajagopal, K. R.
2013
Restrictions placed on constitutive relations by angular momentum balance and Galilean invariance. Zbl 1268.74005
Rajagopal, K. R.; Srinivasa, A. R.
2013
On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework. Zbl 1295.76002
Heida, Martin; Málek, Josef; Rajagopal, K. R.
2012
A numerical study of a plate with a hole for a new class of elastic bodies. Zbl 1356.74122
Ortiz, A.; Bustamante, R.; Rajagopal, K. R.
2012
On Kelvin-Voigt model and its generalizations. Zbl 1371.74067
Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.
2012
On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph. Zbl 1296.35137
Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Rajagopal, Kumbakonam R.; Świerczewska-Gwiazda, Agnieszka
2012
Flow of fluids with pressure- and shear-dependent viscosity down an inclined plane. Zbl 1275.76068
Rajagopal, K. R.; Saccomandi, G.; Vergori, L.
2012
On the development and generalizations of Allen-Cahn and Stefan equations within a thermodynamic framework. Zbl 1295.35360
Heida, Martin; Málek, Josef; Rajagopal, K. R.
2012
Diffusion of a fluid through an anisotropically chemically reacting thermoelastic body within the context of mixture theory. Zbl 1291.76305
Hall, R. B.; Rajagopal, K. R.
2012
Algorithms for synthesizing mechanical systems with maximal natural frequencies. Zbl 1254.70036
Nagarajan, Harsha; Rathinam, Sivakumar; Darbha, Swaroop; Rajagopal, Kumbakonam
2012
Mechanical oscillators described by a system of differential-algebraic equations. Zbl 1249.34017
Pražák, Dalibor; Rajagopal, Kumbakonam R.
2012
On the response of viscoelastic biodegradable polymeric solids. Zbl 1291.74049
Muliana, Anastasia; Rajagopal, K. R.
2012
Further mathematical results concerning Burgers fluids and their generalizations. Zbl 1235.35227
Quintanilla, R.; Rajagopal, K. R.
2012
Extension, inflation and circumferential shearing of an annular cylinder for a class of compressible elastic bodies. Zbl 07278874
Rajagopal, K. R.; Saravanan, U.
2012
Algorithms for finding diameter-constrained graphs with maximum algebraic connectivity. Zbl 1268.90117
Nagarajan, Harsha; Rathinam, Sivakumar; Darbha, Swaroop; Rajagopal, Kumbakonam
2012
A thermodynamically compatible rate type fluid to describe the response of asphalt. Zbl 1252.76064
Hron, J.; Kratochvíl, Jan; Málek, J.; Rajagopal, K. R.; Tůma, K.
2012
Revisiting total, matric, and osmotic suction in partially saturated geomaterials. Zbl 1255.74045
Grasley, Zachary C.; Rajagopal, Kumbakonam R.
2012
On the inhomogeneous shearing of a new class of elastic bodies. Zbl 07278888
Bustamante, R.; Rajagopal, K. R.
2012
Conspectus of concepts of elasticity. Zbl 1269.74014
Rajagopal, K. R.
2011
Nonlinear elastic bodies exhibiting limiting small strain. Zbl 1269.74026
Rajagopal, K. R.
2011
Modeling fracture in the context of a strain-limiting theory of elasticity: a single anti-plane shear crack. Zbl 1283.74074
Rajagopal, K. R.; Walton, J. R.
2011
A Gibbs-potential-based formulation for obtaining the response functions for a class of viscoelastic materials. Zbl 1219.74004
Rajagopal, K. R.; Srinivasa, A. R.
2011
A thermodynamical framework for chemically reacting systems. Zbl 1273.74098
Kannan, K.; Rajagopal, K. R.
2011
A numerical study of fluids with pressure-dependent viscosity flowing through a rigid porous medium. Zbl 1308.76273
Nakshatrala, K. B.; Rajagopal, K. R.
2011
Jump conditions in stress relaxation and creep experiments of Burgers type fluids: a study in the application of Colombeau algebra of generalized functions. Zbl 1292.76007
Průša, Vít; Rajagopal, K. R.
2011
Simulation of the three-dimensional flow of blood using a shear-thinning viscoelastic fluid model. Zbl 1229.76007
Bodnár, T.; Rajagopal, K. R.; Sequeira, A.
2011
Stability analysis of Rayleigh–Bénard convection in a porous medium. Zbl 1253.76041
Rajagopal, K. R.; Saccomandi, G.; Vergori, L.
2011
Further remarks on simple flows of fluids with pressure-dependent viscosities. Zbl 1206.35207
Hron, Jaroslav; Málek, Josef; Průša, Vít; Rajagopal, K. R.
2011
Couette flow with frictional heating in a fluid with temperature and pressure dependent viscosity. Zbl 1214.80003
Rajagopal, K. R.; Saccomandi, G.; Vergori, L.
2011
Equilibrium of partially dried porous media influenced by dissolved species and the development of new interfaces. Zbl 1231.76310
Grasley, Z. C.; Rajagopal, K. R.; Leung, C. K.
2011
Homogenization of a generalization of Brinkman’s equation for the flow of a fluid with pressure-dependent viscosity through a rigid porous solid. Zbl 1246.76141
Savatorova, V. L.; Rajagopal, K. R.
2011
The one-dimensional flow of a fluid with limited strain-rate. Zbl 1269.76007
Farina, A.; Fasano, A.; Fusi, L.; Rajagopal, K. R.
2011
Changes in the response of viscoelastic solids to changes in their internal structure. Zbl 1371.74070
Muliana, A. H.; Rajagopal, K. R.
2011
Mathematical results concerning a class of incompressible viscoelastic solids of differential type. Zbl 1269.74038
Quintanilla, Ramón; Rajagopal, Kumbakonam R.
2011
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 295 International Journal of Engineering Science 112 Acta Mechanica 97 Nonlinear Analysis. Real World Applications 83 Mathematics and Mechanics of Solids 82 Applied Mathematics and Computation 74 Computers & Mathematics with Applications 69 Journal of Mathematical Analysis and Applications 67 ZAMP. Zeitschrift für angewandte Mathematik und Physik 56 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 49 Communications in Nonlinear Science and Numerical Simulation 48 Meccanica 46 Journal of Elasticity 46 Continuum Mechanics and Thermodynamics 42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 36 Computer Methods in Applied Mechanics and Engineering 34 Mathematical Problems in Engineering 32 Mathematical and Computer Modelling 29 Journal of the Mechanics and Physics of Solids 27 Applied Mathematical Modelling 26 Mathematical Methods in the Applied Sciences 25 Journal of Differential Equations 24 International Journal for Numerical Methods in Fluids 24 Applied Mathematics and Mechanics. (English Edition) 24 Boundary Value Problems 23 Archive for Rational Mechanics and Analysis 21 Applications of Mathematics 21 Journal of Mathematical Fluid Mechanics 19 Journal of Fluid Mechanics 19 Journal of Computational and Applied Mathematics 19 European Journal of Mechanics. A. Solids 16 Journal of Engineering Mathematics 16 Physics Letters. A 15 Applicable Analysis 15 Acta Mechanica Sinica 15 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 14 European Journal of Mechanics. B. Fluids 14 Journal of Theoretical Biology 13 International Journal of Heat and Mass Transfer 13 SIAM Journal on Mathematical Analysis 12 Journal of Computational Physics 12 Mathematics and Computers in Simulation 11 Journal of Mathematical Physics 11 Journal of Functional Analysis 11 Mechanics Research Communications 11 Computational Mechanics 11 Applied Mathematics Letters 11 Journal of Non-Newtonian Fluid Mechanics 11 Physics of Fluids 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Computers and Fluids 10 International Journal of Solids and Structures 10 Physica A 10 International Journal of Numerical Methods for Heat & Fluid Flow 10 NoDEA. Nonlinear Differential Equations and Applications 10 Complex Variables and Elliptic Equations 10 Discrete and Continuous Dynamical Systems. Series S 10 International Journal of Applied and Computational Mathematics 9 Journal of Mathematical Biology 9 Quarterly of Applied Mathematics 9 Physica D 9 Journal of Mathematical Sciences (New York) 9 Nonlinear Dynamics 9 Journal of Applied Mechanics and Technical Physics 9 Journal of Applied Mathematics 8 International Journal of Plasticity 8 Wave Motion 8 Numerical Methods for Partial Differential Equations 8 Calculus of Variations and Partial Differential Equations 8 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 International Journal of Biomathematics 8 Journal of Function Spaces 7 Theoretical and Computational Fluid Dynamics 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Archive of Applied Mechanics 7 International Journal of Advances in Engineering Sciences and Applied Mathematics 6 Applied Mathematics and Optimization 6 Chinese Annals of Mathematics. Series B 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Mediterranean Journal of Mathematics 6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Chaos, Solitons and Fractals 5 International Journal of Mathematics and Mathematical Sciences 5 Numerische Mathematik 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Applied Numerical Mathematics 5 European Journal of Applied Mathematics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Communications on Pure and Applied Analysis 5 Advances in Difference Equations 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 5 Advances in Mathematical Physics 5 Advances in Nonlinear Analysis 5 AMM. Applied Mathematics and Mechanics. (English Edition) 4 Mathematical Biosciences 4 Rheologica Acta 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Mathematics of Computation 4 Calcolo 4 Manuscripta Mathematica ...and 217 more Serials