Edit Profile (opens in new tab) Rajagopal, Kumbakonam Ramamani Co-Author Distance Author ID: rajagopal.kumbakonam-ramamani Published as: Rajagopal, K. R.; Rajagopal, Kumbakonam R.; Rajagopal, Kumbakonam; Rajagopal, Kumbakonam Ramamani; Rajagopal, K. more...less Homepage: https://engineering.tamu.edu/mechanical/people/rajagopal-kumbakonam External Links: MGP Documents Indexed: 449 Publications since 1978, including 4 Books 6 Contributions as Editor Biographic References: 5 Publications Co-Authors: 163 Co-Authors with 366 Joint Publications 2,550 Co-Co-Authors all top 5 Co-Authors 56 single-authored 49 Wineman, Alan S. 35 Málek, Josef 31 Srinivasa, Arun R. 26 Tao, Luoyi 21 Saccomandi, Giuseppe 20 Bustamante, Roger 14 Darbha, Swaroop 11 Vergori, Luigi 10 Chen, Guoqian 10 Hron, Jaroslav 10 Průša, Vít 9 Gupta, Anadi Sankar 9 Itou, Hiromichi 9 Kovtunenko, Viktor Anatolievich 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 4 Švihlová, Helena 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 Sreejith, P. 3 Subramanian, Shankar C. 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, Kalyana 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 Tůma, Karel 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 Balakrishnan, S. N. 1 Barot, G. 1 Bellout, Hamid 1 Bernardi, Christine 1 Bernstein, Barry 1 Bharadwaj, Keshav 1 Blechta, Jan 1 Bonito, Andrea 1 Borsi, Iacopo ...and 71 more Co-Authors all top 5 Serials 54 International Journal of Engineering Science 31 Acta Mechanica 29 ZAMP. Zeitschrift für angewandte Mathematik und Physik 28 Mathematics and Mechanics of Solids 20 International Journal of Non-Linear Mechanics 16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 15 Journal of Elasticity 12 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 Applications of Mathematics 8 Nonlinear Analysis. Real World Applications 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 all top 5 Fields 227 Fluid mechanics (76-XX) 225 Mechanics of deformable solids (74-XX) 64 Partial differential equations (35-XX) 40 Classical thermodynamics, heat transfer (80-XX) 21 Biology and other natural sciences (92-XX) 17 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 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 387 Publications have been cited 6,759 times in 2,735 Documents Cited by ▼ Year ▼ Mathematical modeling of electrorheological materials. Zbl 0971.76100Rajagopal, K. R.; Růžička, M. 243 2001 Mechanics of mixtures. Zbl 0941.74500Rajagopal, K. R.; Tao, L. 240 1995 Fluids of differential type: Critical review and thermodynamic analysis. Zbl 0899.76062Dunn, J. E.; Rajagopal, K. R. 218 1995 On implicit constitutive theories. Zbl 1099.74009Rajagopal, K. R. 171 2003 A thermodynamic framework for rate-type fluid models. Zbl 0960.76005Rajagopal, K. R.; Srinivasa, A. R. 150 2000 Thermodynamics and stability of fluids of third grade. Zbl 0441.76002Fosdick, R. L.; Rajagopal, K. R. 125 1980 Anomalous features in the model of ”second order fluids”. Zbl 0427.76006Fosdick, R. L.; Rajagopal, K. R. 114 1979 On a hierarchy of approximate models for flows of incompressible fluids through porous solids. Zbl 1123.76066Rajagopal, K. R. 114 2007 A constrained mixture model for growth and remodeling of soft tissues. Zbl 1021.74026Humphrey, J. D.; Rajagopal, K. R. 105 2002 A note on unsteady unidirectional flows of a non-Newtonian fluid. Zbl 0527.76003Rajagopal, K. R. 105 1982 On boundary conditions for fluids of the differential type. Zbl 0846.35107Rajagopal, K. R. 101 1995 The elasticity of elasticity. Zbl 1113.74006Rajagopal, K. R. 97 2007 An exact solution for the flow of a non-Newtonian fluid past an infinite porous plate. Zbl 0552.76008Rajagopal, K. R.; Gupta, A. S. 96 1984 Start-up flows of second grade fluids in domains with one finite dimension. Zbl 0866.76004Bandelli, R.; Rajagopal, K. R. 89 1995 On implicit constitutive theories for fluids. Zbl 1097.76009Rajagopal, K. R. 85 2006 Exact solutions for some simple flows of an Oldroyd-B fluid. Zbl 0858.76010Rajagopal, K. R.; Bhatnagar, R. K. 84 1995 On the response of non-dissipative solids. Zbl 1129.74010Rajagopal, K. R.; Srinivasa, A. R. 83 2007 On the modeling of electrorheological materials. Zbl 0890.76007Rajagopal, K. R.; Růžička, M. 80 1996 Mechanics of non-Newtonian fluids. Zbl 0818.76003Rajagopal, K. R. 74 1993 Mathematical issues concerning the Navier-Stokes equations and some of its generalizations. Zbl 1095.35027Málek, J.; Rajagopal, K. R. 74 2005 Existence and regularity of solutions and the stability of the rest state for fluids with shear dependent viscosity. Zbl 0838.76005Málek, J.; Rajagopal, K. R.; Růžička, M. 73 1995 On the creeping flow of the second-order fluid. Zbl 0568.76015Rajagopal, K. R. 71 1984 On a class of non-dissipative materials that are not hyperelastic. Zbl 1186.74009Rajagopal, K. R.; Srinivasa, A. R. 68 2009 Conspectus of concepts of elasticity. Zbl 1269.74014Rajagopal, K. R. 65 2011 On the Oberbeck-Boussinesq approximation. Zbl 0883.76078Rajagopal, K. R.; Ruzicka, M.; Srinivasa, A. R. 63 1996 Navier’s slip and evolutionary Navier-Stokes-like systems with pressure and shear-rate dependent viscosity. Zbl 1129.35055Bulíček, M.; Málek, J.; Rajagopal, K. R. 62 2007 Mechanics of the inelastic behavior of materials. I: Theoretical underpinnings. Zbl 0978.74013Rajagopal, K. R.; Srinivasa, A. R. 59 1998 On thermomechanical restrictions of continua. Zbl 1041.74002Rajagopal, K. R.; Srinivasa, A. R. 58 2004 On boundary conditions for a certain class of problems in mixture theory. Zbl 0594.73007Rajagopal, K. R.; Wineman, A. S.; Gandhi, M. 56 1986 Global analysis of the flows of fluids with pressure-dependent viscosities. Zbl 1022.76011Málek, Josef; Nečas, Jindřich; Rajagopal, K. R. 53 2002 Flow of viscoelastic fluids between rotating disks. Zbl 0747.76018Rajagopal, K. R. 50 1992 Simple flows of fluids with pressure-dependent viscosities. Zbl 1052.76017Hron, J.; Málek, J.; Rajagopal, K. R. 49 2001 The effect of the slip boundary condition on the flow of fluids in a channel. Zbl 0936.76013Rao, I. J.; Rajagopal, K. R. 48 1999 A constitutive equation for nonlinear solids which undergo deformation induced microstructural changes. Zbl 0765.73005Rajagopal, K. R.; Wineman, A. S. 48 1992 A note on the flow induced by a constantly accelerating plate in an Oldroyd-B fluid. Zbl 1287.76047Fetecau, Constantin; Prasad, Sharat C.; Rajagopal, K. R. 47 2007 On some unsteady motions of fluids of second grade. Zbl 0835.76002Bandelli, R.; Rajagopal, K. R.; Galdi, G. P. 47 1995 An introduction to the mechanics of fluids. Zbl 0942.76001Truesdell, C.; Rajagopal, K. R. 47 2000 Mathematical analysis of unsteady flows of fluids with pressure, shear-rate, and temperature dependent material moduli that slip at solid boundaries. Zbl 1195.35239Bulíček, M.; Málek, J.; Rajagopal, K. R. 46 2009 Some remarks on boundary conditions for flows of fluids of the differential type. Zbl 0706.76008Rajagopal, K. R.; Kaloni, P. N. 46 1989 An existence theorem for the flow of a non-Newtonian fluid past an infinite porous plate. Zbl 0599.76013Rajagopal, K. R.; Szeri, A. Z.; Troy, W. 45 1986 On flows of granular materials. Zbl 0804.73003Hutter, K.; Rajagopal, K. R. 45 1994 A note on the Falkner-Skan flows of a non-Newtonian fluid. Zbl 0527.76010Rajagopal, K. R.; Gupta, A. S.; Na, T. Y. 45 1983 On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework. Zbl 1295.76002Heida, Martin; Málek, Josef; Rajagopal, K. R. 44 2012 On the uniqueness of flow of a Navier-Stokes fluid due to a stretching boundary. Zbl 0631.76021McLeod, J. B.; Rajagopal, K. R. 43 1987 On the thermomechanics of materials that have multiple natural configurations part I: Viscoelasticity and classical plasticity. Zbl 1180.74006Rajagopal, K. R.; Srinivasa, A. R. 41 2004 On the nonlinear elastic response of bodies in the small strain range. Zbl 1401.74045Rajagopal, K. R. 40 2014 The flow of blood in tubes: Theory and experiment. Zbl 0962.76648Yeleswarapu, K. K.; Kameneva, M. V.; Rajagopal, K. R.; Antaki, J. F. 39 1998 On the thermodynamics of fluids defined by implicit constitutive relations. Zbl 1149.76007Rajagopal, K. R.; Srinivasa, A. R. 39 2008 Mechanics of the inelastic behavior of materials. II: Inelastic response. Zbl 0978.74014Rajagopal, K. R.; Srinivasa, A. R. 39 1998 Nonlinear elastic bodies exhibiting limiting small strain. Zbl 1269.74026Rajagopal, K. R. 38 2011 On steady flows of fluids with pressure- and shear-dependent viscosities. Zbl 1145.76311Franta, M.; Málek, J.; Rajagopal, K. R. 37 2005 Modeling fracture in the context of a strain-limiting theory of elasticity: a single anti-plane shear crack. Zbl 1283.74074Rajagopal, K. R.; Walton, J. R. 35 2011 Longitudinal and torsional oscillations of a rod in a non-Newtonian fluid. Zbl 0539.76005Rajagopal, K. R. 34 1983 A model incorporating some of the mechanical and biochemical factors underlying clot formation and dissolution in flowing blood. Zbl 1078.92017Anand, M.; Rajagopal, K.; Rajagopal, K. R. 33 2003 A thermodynamic framework for the study of crystallization in polymers. Zbl 1010.80005Rao, I. J.; Rajagopal, K. R. 32 2002 Applications of the theory of interacting continua to the diffusion of a fluid through a nonlinear elastic media. Zbl 0495.73047Shi, John Jin-Jau; Rajagopal, K. R.; Wineman, A. S. 32 1981 Theory of small on large: Potential utility in computations of fluid-solid interactions in arteries. Zbl 1127.74026Baek, S.; Gleason, R. L.; Rajagopal, K. R.; Humphrey, J. D. 31 2007 A note on plane strain and plane stress problems for a new class of elastic bodies. Zbl 1257.74022Bustamante, R.; Rajagopal, K. R. 31 2010 On a class of exact solutions to the equations of motion of a second grade fluid. Zbl 0466.76008Rajagopal, K. R.; Gupta, A. S. 30 1981 On the thermomechanics of shape memory wires. Zbl 0951.74005Rajagopal, K. R.; Srinivasa, A. R. 30 1999 On Stokes’ problem for a non-Newtonian fluid. Zbl 0528.76003Rajagopal, K. R.; Na, T. Y. 30 1983 Stagnation point flow of a non-Newtonian fluid. Zbl 0727.76003Garg, Vijay K.; Rajagopal, K. R. 29 1990 A note on the flow of a Burgers’ fluid in an orthogonal rheometer. Zbl 1211.76011Ravindran, Parag; Krishnan, J. Murali; Rajagopal, K. R. 29 2004 On a new class of models in elasticity. Zbl 1371.74050Rajagopal, K. R. 28 2010 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 1398.92065Anand, M.; Rajagopal, K.; Rajagopal, K. R. 27 2008 On the Oberbeck-Boussinesq approximation for fluids with pressure dependent viscosities. Zbl 1167.76368Rajagopal, K. R.; Saccomandi, G.; Vergori, L. 26 2009 A numerical study of a plate with a hole for a new class of elastic bodies. Zbl 1356.74122Ortiz, A.; Bustamante, R.; Rajagopal, K. R. 26 2012 On elastic solids with limiting small strain: modelling and analysis. Zbl 1314.35184Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Süli, Endre 25 2014 Modeling anisotropic fluids within the framework of bodies with multiple natural configurations. Zbl 1028.76002Rajagopal, K. R.; Srinivasa, A. R. 24 2001 Uniqueness and drag for fluids of second grade in steady motion. Zbl 0392.76005Fosdick, R. L.; Rajagopal, K. R. 23 1978 Modeling fracture in the context of a strain-limiting theory of elasticity: a single plane-strain crack. Zbl 1423.74824Gou, K.; Mallikarjuna, M.; Rajagopal, K. R.; Walton, J. R. 23 2015 On the thermomechanics of materials that have multiple natural configurations. Zbl 1125.74303Rajagopal, K. R.; Srinivasa, A. R. 22 2004 Existence of solutions for the anti-plane stress for a new class of “strain-limiting” elastic bodies. Zbl 1329.35302Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Walton, Jay R. 22 2015 On the nature of constraints for continua undergoing dissipative processes. Zbl 1186.74008Rajagopal, K. R.; Srinivasa, A. R. 22 2005 On the classification of incompressible fluids and a mathematical analysis of the equations that govern their motion. Zbl 1432.76075Blechta, Jan; Málek, Josef; Rajagopal, K. R. 22 2020 Boundedness and uniqueness of fluids of the differential type. Zbl 0555.76011Rajagopal, K. R. 22 1982 Mechanics and mathematics of fluids of the differential type. Zbl 1365.76001Cioranescu, D.; Girault, V.; Rajagopal, K. R. 21 2016 On a constitutive theory for materials undergoing microstructural changes. Zbl 0733.73001Wineman, A. S.; Rajagopal, K. R. 21 1990 On the inelastic behavior of solids. I: Twinning. Zbl 0858.73006Rajagopal, K. R.; Srinivasa, A. R. 20 1995 Numerical simulations and global existence of solutions of two-dimensional flows of fluids with pressure- and shear-dependent viscosities. Zbl 1205.76159Hron, J.; Málek, J.; Nečas, J.; Rajagopal, K. R. 20 2003 On the shear and bending of a degrading polymer beam. Zbl 1134.74329Rajagopal, K. R.; Srinivasa, A. R.; Wineman, A. S. 20 2007 On the flow of a simple fluid in an orthogonal rheometer. Zbl 0513.76002Rajagopal, K. R. 20 1982 On an inconsistency in the derivation of the equations of elastohydrodynamic lubrication. Zbl 1041.76019Rajagopal, K. R.; Szeri, A. Z. 20 2003 Flow of a non-Newtonian fluid between heated parallel plates. Zbl 0583.76006Szeri, A. Z.; Rajagopal, K. R. 20 1985 Nonlinear elasticity with limiting small strain for cracks subject to non-penetration. Zbl 1371.74245Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 20 2017 On a new class of electroelastic bodies. I. Zbl 1371.74095Bustamante, R.; Rajagopal, K. R. 20 2013 Swirling flow between rotating plates. Zbl 0594.76022Parter, Seymour V.; Rajagopal, K. R. 19 1984 Flow through porous media due to high pressure gradients. Zbl 1228.76161Kannan, K.; Rajagopal, K. R. 19 2008 Generalizations of the Navier-Stokes fluid from a new perspective. Zbl 1231.76073Málek, J.; Průša, V.; Rajagopal, K. R. 19 2010 A Gibbs-potential-based formulation for obtaining the response functions for a class of viscoelastic materials. Zbl 1219.74004Rajagopal, K. R.; Srinivasa, A. R. 19 2011 On Kelvin-Voigt model and its generalizations. Zbl 1371.74067Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R. 19 2012 On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph. Zbl 1296.35137Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Rajagopal, Kumbakonam R.; Świerczewska-Gwiazda, Agnieszka 18 2012 On the decay of vortices in a second grade fluid. Zbl 0463.76001Rajagopal, K. R. 18 1980 The flow of a second order fluid between rotating parallel plates. Zbl 0476.76008Rajagopal, K. R. 18 1981 Flow of an Oldroyd-B fluid due to a stretching sheet in the presence of a free stream velocity. Zbl 0837.76009Bhatnagar, R. K.; Gupta, G.; Rajagopal, K. R. 18 1995 On fully developed flows of fluids with a pressure dependent viscosity in a pipe. Zbl 1099.76019Vasudevaiah, Macherla; Rajagopal, Kumbakonam R. 18 2005 New universal relations for nonlinear isotropic elastic materials. Zbl 0602.73017Rajagopal, K. R.; Wineman, Alan S. 17 1987 Stability analysis of the Rayleigh-Bénard convection for a fluid with temperature- and pressure-dependent viscosity. Zbl 1169.76023Rajagopal, K. R.; Saccomandi, G.; Vergori, L. 17 2009 On a boundary layer theory for non-Newtonian fluids. Zbl 0426.76004Rajagopal, K. R.; Gupta, A. S.; Wineman, A. S. 17 1980 A study of strain-induced crystallization of polymers. Zbl 1010.76089Rao, I. J.; Rajagopal, K. R. 17 2001 A thermodynamic framework for the additive manufacturing of crystallizing polymers. I: A theory that accounts for phase change, shrinkage, warpage and residual stress. Zbl 07646850Sreejith, P.; Kannan, K.; Rajagopal, K. R. 4 2023 On an elastic strain-limiting special Cosserat rod model. Zbl 1517.74059Rajagopal, K. R.; Rodriguez, C. 1 2023 Mixture model for thermo-chemo-mechanical processes in fluid-infused solids. Zbl 07517075Anguiano, Marcelino; Masud, Arif; Rajagopal, Kumbakonam R. 3 2022 A three-dimensional implicit constitutive relation for a body exhibiting stress softening. I: Theoretical underpinnings. Zbl 1494.74003Bustamante, R.; Rajagopal, K. R. 1 2022 Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters. Zbl 07601723Průša, Vít; Rajagopal, Kumbakonam Ramamani; Wineman, Alan 1 2022 Three-dimensional flows of incompressible Navier-Stokes fluids in tubes containing a sinus, with varying slip conditions at the wall. Zbl 1517.76019Chabiniok, R.; Hron, J.; Jarolímová, A.; Málek, J.; Rajagopal, K. R.; Rajagopal, K.; Švihlová, H.; Tůma, K. 1 2022 A thermodynamic framework for additive manufacturing, using amorphous polymers, capable of predicting residual stress, warpage and shrinkage. Zbl 07314425Sreejith, P.; Kannan, K.; Rajagopal, K. R. 6 2021 An implicit constitutive relation for describing the small strain response of porous elastic solids whose material moduli are dependent on the density. Zbl 07582889Rajagopal, K. R. 5 2021 Lagrange multiplier approach to unilateral indentation problems: well-posedness and application to linearized viscoelasticity with non-invertible constitutive response. Zbl 1473.35551Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 3 2021 A thermomechanical and photochemical description of the phase change process in roll-to-roll nanoimprinting lithography. Zbl 07444783Gomez-Constante, J. P.; Pagilla, P. R.; Rajagopal, K. R. 2 2021 A model for a solid undergoing rate-independent dissipative mechanical processes. Zbl 07357400Saravanan, Umakanthan; Rajagopal, Kumbakonam R.; Tom, Roshan M.; Bharadwaj, Keshav 2 2021 On an implicit model linear in both stress and strain to describe the response of porous solids. Zbl 1465.74048Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 1 2021 A note on viscoelastic bodies whose material properties depend on the density. Zbl 07589914Rajagopal, K. R.; Wineman, A. 1 2021 On the classification of incompressible fluids and a mathematical analysis of the equations that govern their motion. Zbl 1432.76075Blechta, Jan; Málek, Josef; Rajagopal, K. R. 22 2020 A review of implicit constitutive theories to describe the response of elastic bodies. Zbl 1445.74004Bustamante, Roger; Rajagopal, Kumbakonam 10 2020 Chemo-mechanical coupling and material evolution in finitely deforming solids with advancing fronts of reactive fluids. Zbl 1440.74118Anguiano, Marcelino; Gajendran, Harishanker; Hall, Richard B.; Rajagopal, Kumbakonam R.; Masud, Arif 3 2020 The Boussinesq flat-punch indentation problem within the context of linearized viscoelasticity. Zbl 1465.74129Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 3 2020 Crack problem within the context of implicitly constituted quasi-linear viscoelasticity. Zbl 1411.35249Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 11 2019 The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies. Zbl 1415.74011Kulvait, Vojtěch; Málek, Josef; Rajagopal, K. R. 9 2019 Some remarks and clarifications concerning the restrictions placed on thermodynamic processes. Zbl 1423.80009Rajagopal, K. R.; Srinivasa, A. R. 6 2019 A thermodynamically consistent model for viscoelastic polymers undergoing microstructural changes. Zbl 1425.74025Song, Ruyue; Muliana, Anastasia; Rajagopal, Kumbakonam 6 2019 Well-posedness of the problem of non-penetrating cracks in elastic bodies whose material moduli depend on the mean normal stress. Zbl 1425.74081Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 5 2019 A decomposition of Laplace stretch with applications in inelasticity. Zbl 1459.74005Freed, Alan D.; le Graverend, Jean-Briac; Rajagopal, K. R. 5 2019 Flow of a new class of non-Newtonian fluids in tubes of non-circular cross-sections. Zbl 1425.76018Gomez-Constante, Juan P.; Rajagopal, Kumbakonam R. 1 2019 On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body. Zbl 1404.74028Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 13 2018 A nonlinear model for describing the mechanical behaviour of rock. Zbl 1381.74148Bustamante, R.; Rajagopal, K. R. 7 2018 An adaptive finite element method for the inequality-constrained Reynolds equation. Zbl 1440.76066Gustafsson, Tom; Rajagopal, Kumbakonam R.; Stenberg, Rolf; Videman, Juha 2 2018 Chemo-mechanical coupling in curing and material-interphase evolution in multi-constituent materials. Zbl 1396.74053Gajendran, Harishanker; Hall, Richard B.; Masud, Arif; Rajagopal, Kumbakonam R. 2 2018 Lubrication approximation of flows of a special class of non-Newtonian fluids defined by rate type constitutive equations. Zbl 1480.76005Fusi, Lorenzo; Farina, A.; Saccomandi, G.; Rajagopal, K. R. 1 2018 A damage initiation criterion for a class of viscoelastic solids. Zbl 1402.74009Alagappan, P.; Rajagopal, K. R.; Kannan, K. 1 2018 Initiation of damage in a class of polymeric materials embedded with multiple localized regions of lower density. Zbl 1395.74078Alagappan, P.; Rajagopal, K. R.; Kannan, K. 1 2018 Nonlinear elasticity with limiting small strain for cracks subject to non-penetration. Zbl 1371.74245Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 20 2017 Representations for implicit constitutive relations describing non-dissipative response of isotropic materials. Zbl 1386.74027Gokulnath, C.; Saravanan, U.; Rajagopal, K. R. 9 2017 Contacting crack faces within the context of bodies exhibiting limiting strains. Zbl 1409.74004Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 5 2017 Modeling the response of light-activated shape memory polymers. Zbl 1371.74102Yuan, Zhi; Muliana, Anastasia; Rajagopal, Kumbakonam Ramamani 4 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 1423.76532Švihlová, Helena; Hron, Jaroslav; Málek, Josef; Rajagopal, K. R.; Rajagopal, Keshava 2 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 1423.76533Švihlová, H.; Hron, J.; Málek, J.; Rajagopal, K. R.; Rajagopal, Keshava 2 2017 A non-standard approach to a constrained forced oscillator. Zbl 1366.34053Prazak, Dalibor; Rajagopal, Kumbakonam R.; Slavik, Jakub 1 2017 Mechanics and mathematics of fluids of the differential type. Zbl 1365.76001Cioranescu, D.; Girault, V.; Rajagopal, K. R. 21 2016 An implicit three-dimensional model for describing the inelastic response of solids undergoing finite deformation. Zbl 1359.74053Rajagopal, K. R.; Srinivasa, A. R. 8 2016 Determination of pressure data from velocity data with a view toward its application in cardiovascular mechanics. I: Theoretical considerations. Zbl 1423.76531Švihlová, Helena; Hron, Jaroslav; Málek, Josef; Rajagopal, K. R.; Rajagopal, Keshava 8 2016 A promising approach for modeling biological fibers. Zbl 1341.74123Freed, Alan D.; Rajagopal, K. R. 7 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 1348.74018Bustamante, R.; Rajagopal, K. R. 5 2016 On a possible methodology for identifying the initiation of damage of a class of polymeric materials. Zbl 1371.82157Alagappan, P.; Kannan, K.; Rajagopal, K. R. 4 2016 Large deformations of a new class of incompressible elastic bodies. Zbl 1431.74021Bustamante, R.; Orellana, O.; Meneses, R.; Rajagopal, K. R. 3 2016 On the stability and uniqueness of the flow of a fluid through a porous medium. Zbl 1435.76073Hill, A. A.; Rajagopal, K. R.; Vergori, Luigi 3 2016 Euler-Bernoulli type beam theory for elastic bodies with nonlinear response in the small strain range. Zbl 1338.74073Janečka, A.; Průša, V.; Rajagopal, K. R. 2 2016 Response of a class of mechanical oscillators described by a novel system of differential-algebraic equations. Zbl 1389.34045Málek, Josef; Rajagopal, Kumbakonam R.; Suková, Petra 1 2016 A fully coupled model for diffusion-induced deformation in polymers. Zbl 1381.82032Parthasarathy, Sudharsan Srinivasa; Muliana, Anastasia; Rajagopal, Kumbakonam 1 2016 On power-law fluids with the power-law index proportional to the pressure. Zbl 1457.76024Málek, J.; Rajagopal, K. R.; Žabenský, J. 1 2016 Deformations of infinite slabs of non-linear viscoelastic solids containing an elliptic hole. Zbl 1374.74021Alagappan, P.; Rajagopal, K. R.; Kannan, K. 1 2016 Modeling fracture in the context of a strain-limiting theory of elasticity: a single plane-strain crack. Zbl 1423.74824Gou, K.; Mallikarjuna, M.; Rajagopal, K. R.; Walton, J. R. 23 2015 Existence of solutions for the anti-plane stress for a new class of “strain-limiting” elastic bodies. Zbl 1329.35302Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Walton, Jay R. 22 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 1317.74034Bustamante, R.; Rajagopal, K. R. 16 2015 Implicit constitutive relations for nonlinear magnetoelastic bodies. Zbl 1371.74040Bustamante, R.; Rajagopal, K. R. 16 2015 Implicit constitutive models with a thermodynamic basis: a study of stress concentration. Zbl 1317.74008Bridges, C.; Rajagopal, K. R. 13 2015 A note on some new classes of constitutive relations for elastic bodies. Zbl 1327.35362Bustamante, R.; Rajagopal, K. R. 12 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 1317.74033Bustamante, R.; Rajagopal, K. R. 9 2015 On the determination of semi-inverse solutions of nonlinear Cauchy elasticity: the not so simple case of anti-plane shear. Zbl 1423.74136Pucci, Edvige; Rajagopal, K. R.; Saccomandi, Giuseppe 6 2015 Nonlinear Reynolds equation for hydrodynamic lubrication. Zbl 1443.76037Gustafsson, Tom; Rajagopal, K. R.; Stenberg, Rolf; Videman, Juha 6 2015 On the use of compatibility conditions for the strain in linear and non-linear theories of mechanics. Zbl 1327.74006Rajagopal, Kumbakonam R.; Srinivasa, Arun R. 5 2015 Study of a new class of nonlinear inextensible elastic bodies. Zbl 1383.74007Bustamante, R.; Rajagopal, K. R. 4 2015 On the approximation of isochoric motions of fluids under different flow conditions. Zbl 1371.76052Rajagopal, K. R.; Saccomandi, G.; Vergori, L. 2 2015 A constitutive theory for multi-functional fiber reinforced composites. Zbl 1329.74063Wineman, Alan; Rajagopal, K. R. 1 2015 On the nonlinear elastic response of bodies in the small strain range. Zbl 1401.74045Rajagopal, K. R. 40 2014 On elastic solids with limiting small strain: modelling and analysis. Zbl 1314.35184Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Süli, Endre 25 2014 Unsteady motions of a new class of elastic solids. Zbl 1456.74017Kannan, K.; Rajagopal, K. R.; Saccomandi, G. 17 2014 Circumferential stress waves in a nonlinear cylindrical annulus in a new class of elastic materials. Zbl 1347.74045Kambapalli, M.; Kannan, K.; Rajagopal, K. R. 9 2014 Circularly polarized wave propagation in a class of bodies defined by a new class of implicit constitutive relations. Zbl 1308.74078Rajagopal, K. R.; Saccomandi, Giuseppe 9 2014 On the natural structure of thermodynamic potentials and fluxes in the theory of chemically non-reacting binary mixtures. Zbl 1302.74003Souček, Ondřej; Průša, Vít; Málek, Josef; Rajagopal, K. R. 6 2014 Universal relations for a new class of elastic bodies. Zbl 1345.74021Rajagopal, K. R.; Wineman, Alan S. 2 2014 On a new class of electroelastic bodies. I. Zbl 1371.74095Bustamante, R.; Rajagopal, K. R. 20 2013 Shear flows of a new class of power-law fluids. Zbl 1274.76039Le Roux, Christiaan; Rajagopal, Kumbakonam R. 14 2013 On a new class of electro-elastic bodies. II: Boundary value problems. Zbl 1371.74096Bustamante, R.; Rajagopal, K. R. 13 2013 A new class of quasi-linear models for describing the nonlinear viscoelastic response of materials. Zbl 1291.74051Muliana, A.; Rajagopal, K. R.; Wineman, A. S. 13 2013 Unsteady flows of fluids with pressure dependent viscosity. Zbl 1304.76018Rajagopal, K. R.; Saccomandi, G.; Vergori, L. 7 2013 Unsteady flows of a class of novel generalizations of the Navier-Stokes fluid. Zbl 1291.76098Atul Narayan, S. P.; Rajagopal, K. R. 3 2013 Particle-free bodies and point-free spaces. Zbl 1423.54006Rajagopal, K. R. 2 2013 Restrictions placed on constitutive relations by angular momentum balance and Galilean invariance. Zbl 1268.74005Rajagopal, K. R.; Srinivasa, A. R. 2 2013 On models for viscoelastic materials that are mechanically incompressible and thermally compressible or expansible and their Oberbeck-Boussinesq type approximations. Zbl 1452.76015Průša, Vít; Rajagopal, K. R. 2 2013 On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework. Zbl 1295.76002Heida, Martin; Málek, Josef; Rajagopal, K. R. 44 2012 A numerical study of a plate with a hole for a new class of elastic bodies. Zbl 1356.74122Ortiz, A.; Bustamante, R.; Rajagopal, K. R. 26 2012 On Kelvin-Voigt model and its generalizations. Zbl 1371.74067Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R. 19 2012 On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph. Zbl 1296.35137Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Rajagopal, Kumbakonam R.; Świerczewska-Gwiazda, Agnieszka 18 2012 Flow of fluids with pressure- and shear-dependent viscosity down an inclined plane. Zbl 1275.76068Rajagopal, K. R.; Saccomandi, G.; Vergori, L. 16 2012 On the development and generalizations of Allen-Cahn and Stefan equations within a thermodynamic framework. Zbl 1295.35360Heida, Martin; Málek, Josef; Rajagopal, K. R. 12 2012 Diffusion of a fluid through an anisotropically chemically reacting thermoelastic body within the context of mixture theory. Zbl 1291.76305Hall, R. B.; Rajagopal, K. R. 8 2012 On the inhomogeneous shearing of a new class of elastic bodies. Zbl 07278888Bustamante, R.; Rajagopal, K. R. 6 2012 Extension, inflation and circumferential shearing of an annular cylinder for a class of compressible elastic bodies. Zbl 07278874Rajagopal, K. R.; Saravanan, U. 4 2012 On the response of viscoelastic biodegradable polymeric solids. Zbl 1291.74049Muliana, Anastasia; Rajagopal, K. R. 3 2012 Mechanical oscillators described by a system of differential-algebraic equations. Zbl 1249.34017Pražák, Dalibor; Rajagopal, Kumbakonam R. 3 2012 Revisiting total, matric, and osmotic suction in partially saturated geomaterials. Zbl 1255.74045Grasley, Zachary C.; Rajagopal, Kumbakonam R. 3 2012 Further mathematical results concerning Burgers fluids and their generalizations. Zbl 1235.35227Quintanilla, R.; Rajagopal, K. R. 3 2012 Algorithms for synthesizing mechanical systems with maximal natural frequencies. Zbl 1254.70036Nagarajan, Harsha; Rathinam, Sivakumar; Darbha, Swaroop; Rajagopal, Kumbakonam 3 2012 A thermodynamically compatible rate type fluid to describe the response of asphalt. Zbl 1252.76064Hron, J.; Kratochvíl, Jan; Málek, J.; Rajagopal, K. R.; Tůma, K. 1 2012 Algorithms for finding diameter-constrained graphs with maximum algebraic connectivity. Zbl 1268.90117Nagarajan, Harsha; Rathinam, Sivakumar; Darbha, Swaroop; Rajagopal, Kumbakonam 1 2012 Conspectus of concepts of elasticity. Zbl 1269.74014Rajagopal, K. R. 65 2011 Nonlinear elastic bodies exhibiting limiting small strain. Zbl 1269.74026Rajagopal, K. R. 38 2011 Modeling fracture in the context of a strain-limiting theory of elasticity: a single anti-plane shear crack. Zbl 1283.74074Rajagopal, K. R.; Walton, J. R. 35 2011 A Gibbs-potential-based formulation for obtaining the response functions for a class of viscoelastic materials. Zbl 1219.74004Rajagopal, K. R.; Srinivasa, A. R. 19 2011 ...and 287 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,126 Authors 212 Rajagopal, Kumbakonam Ramamani 141 Hayat, Tasawar 62 Málek, Josef 55 Fetecau, Constantin 50 Asghar, Saleem 45 Saccomandi, Giuseppe 43 Bulíček, Miroslav 43 Massoudi, Mehrdad 40 Wineman, Alan S. 36 Sajid, Muhammad 33 Fetecau, Corina 31 Bustamante, Roger 31 Siddiqui, Abdul Majeed 24 Farina, Angiolo 22 Fusi, Lorenzo 22 Quintanilla de Latorre, Ramón 21 Průša, Vít 21 Růžička, Michael 21 Vajravelu, Kuppalapalle 20 Khan, Masood Amjad 19 Ellahi, Rahmat 19 Roubíček, Tomáš 19 Srinivasa, Arun R. 19 Vieru, Dumitru 18 Feireisl, Eduard 17 Ayub, Muhammad 17 Humphrey, Jay D. 16 Pence, Thomas J. 16 Pop, Ioan 16 Straughan, Brian 16 Süli, Endre E. 15 Masud, Arif 15 Momoniat, Ebrahim 15 Wang, Yongqi 14 Abbas, Zaheer 14 Ouaro, Stanislas 13 Ali, Nasir 13 Ariel, P. 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