K.R. Rajagopal
Distinguished Professor
Regents Professor

Department of Mechanical Engineering
Engineering Physics Building, Room 314
Texas A&M University
College Station, TX 77843-3123

Email: krajagopal@tamu.edu
Phone: 979.862.4552
Fax: 979.845.3081

Departmental Website

PROFESSIONAL INTERESTS

• Biomechanics
• Nonlinear Fluid Mechanics
• Nonlinear Elasticity
• Mixtures
• Continuum Thermodynamics
• Traffic flow dynamics

EDUCATION

• Ph.D., Mechanics, University of Minnesota, Minneapolis (1978)

• M.S., Aerospace & Mechanical Engineering, Illinois Institute of Technology (IIT), Chicago, Illinois (1974)

• Mechanical Engineering, Honors: First Class, Indian Institute of Technology (IIT), Madras, India, B. Tech (1973)

WORK EXPERIENCE

• Forsyth Chair and Professor, Dept. of Mechanical Engineering, Texas A&M University, College Station, TX, January 1996-present

• James T. MacLeod Professor of Engineering and Professor of Surgery, University of Pittsburgh, Pittsburgh, PA, September 1990-December 1996
• Assistant, Associate, Full Professor, Department of Mechanical Engineering, University of Pittsburgh, Pittsburgh, PA, June 1982-December 1996
• Assistant Professor, Department of Mechanical Engineering, Catholic University of America, Washington, D.C, September 1980-May 1982

PUBLICATIONS

2005 (285) On the propagation of waves through porous solids, International Journal of Non-Linear Mechanics, 40, 373-380 [2005], (with L. Tao). (286) Normal stress and Stress relaxation of for sand asphalt undergoing torsional flow, Mechanics Research Communications, 32, 43-52[2005], (with L. R. Kasula, J. Muralikrishnan and D. Little). (287) Flows of fluids with pressure dependent viscosities between rotating parallel plates, in New Trends in Mathematical Physics, ed. P. Fergola et al., World Scientific, Singapore, [2005] ( with K. Kannan). (288) On the role of the Eshelby Energy –Momentum Tensor in Materials with Multiple Natural Configurations, Journal of Mathematics and Mechanics of Solids, 10, 3-24[2005] (with A. R. Srinivasa). (289) A Continuum Model for the creep of single crystal nickel-base superalloys, Acta Materialia, 53, 669-679[2005] (with S.C.Prasad, I.J. Rao). (290) A note on a correspondence principle in non-linear viscoelastic materials" in "Letters in Fracture in Micromechanics", 131, no.4 [2005] (with A.R. Srinivasa). (291) On the bending of shape memory wires, Mechanics of Advanced Materials and Structures, 12, 319-330 [2005] (with A.R. Srinivasa). (292) Heat-induced changes in the finite strain viscoelastic behavior of a collagenous tissue, Journal of Biomechanical Engineering- Transactions of the ASME, 127, 580-586 [2005] (with S. Baek, J.D.Humphrey and P.B. Wells). (293) Simulation of fiber spinning including flow-induced crystallization, Journal of Rheology, 49, 683- 703 [2005] (with K. Kannan). (294) Simulation of the film blowing process for semicystalline polymers, Mechanics of Advanced Materials and Structures, 12, 129-146 [2005] (with I.J. Rao). (295) On steady flows of fluids with pressure and shear dependent viscosities, Proceedings of The Royal Society A-Mathematical Physical And Engineering Sciences, 461, 651-670 [2005] (with M. Franta and J. Malek). (296) On fully developed flows of fluids with a pressure dependent viscosity in a pipe, Application of Mathematics, 50, 341-353 [2005] (with M. Vasudevaiah). (297) Inflation, extension, torsion and shearing of an inhomogeneous compressible elastic right circular annular cylinder, Mathematics and Mechanics of Solids, 10 (6): 603-650 [2005] (with U. Saravanan). (298) A note on the flows of inhomogeneous fluids with shear-dependent viscosities, Archives of Mechanics, 57 (5): 417-428 [2005] (with M. Anand) 36 (299) Simulation of flow induced crystallization in fiber spinning using the radial resolution approximation Mechanics Of Advanced Materials And Structures, 12 (6): 413-424 [2005] (with K. Kannan) (300) On the deformation of an elastoplastic body when placed between flat plates rotating about non- coincident axes, International Journal Of Plasticity, 21 (12): 2255-2276 2005 (with H. Pradeep and A.R. Srinivasa) (301) On the nature of constraints for continua undergoing dissipative processes, Proceedings of The Royal Society A-Mathematical Physical And Engineering Sciences, 461 (2061): 2785-2795 [2005] (with A.R. Srinivasa) (302) On the mechanical behavior of asphalt , Mechanics Of Materials 37 (11): 1085-1100 [2005] (with J.M. Krishnan) (303) Mathematical issues concerning the Navier-Stokes equations and some of its generalizations, Handbook of Differential Equations, Evolutionary Equations, Volume 2 ( ed. C.M. Dafermos and D. Feireisl), Elsevier, 2005, (with J. Malek). (304) A model for the formation and lysis of blood clots. Pathophysiol Haemost Thromb 2005; 34:109- 120[2005] (M. Anand and K, Rajagopal) (305) A note on an unsteady flow of an Oldroyd-B fluid, International Journal of Mathematics and Mathematical Sciences, 3185-3194 [2005] (with C. Fetecau, K.Kannan) (306) Competition between radial expansion and thickening in the enlargement of an intracranial saccular aneurysm, Journal of Elasticity, 80, 13-31[2005] (with S. Baek and J.D. Humphrey). (307) Modelling constant displacement rate experiments of asphalt concrete using a thermodynamic framework, International Journal of Pavement Engineering, 6 (4): 241-256 [2005] (with H. Pradeep, J. Muralikrishnan, D. N. Little and E. Masad). 2006 (308) On the modeling of inhomogeneous incompressible fluid-like bodies, Mechanics of Materials 38 (3): 233-242[2006] (with J. Malek) (309) A thermodynamical framework incorporating the effect of thermal history on the solidification of molten polymers, In Material substructures in complex bodies, from atomic structures to continuum, [2006] (with K. Kannan). (310) Modeling Ziegler-Natta polymerization in high pressure reactors, In Material substructures in complex bodies from atomic structures to continuum [2006] (with A. Fasano, K.Kannan, A. Mancini). (311) A theoretical model of enlarging intracranial fusiform aneurysms, Journal of Biomechanical Engineering , 128, 142-149[2006] (with S. Baek and J.D.Humphrey). (312) On implicit constitutive theories for fluids, Journal of Fluid Mechanics, 550, 243-249, 2006. (313) A continuum model for the anisotropic creep of single crystal nickel-based superalloys, Acta Materialia, 54, 1487-1500[2006] (with S. Prasad and I. J. Rao). (314) Flow of a fluid with pressure dependent viscosity due to a boundary that is being stretched, Applied Mathematics and Computation 173, 50-68[2006] (with S. Prasad). (315) A thermodynamic framework for describing solidification of polymer melts, Journal of Engineering Materials and Technology-Transactions of the ASME, 128,55-63[2006] (with K. Kannan and I. J. Rao). (316) Mathematical properties of the equations governing the flow of fluids with pressure and shear rate dependent viscosities Handbook of Mathematical Fluid Dynamics, Volume 4 (S. Friedlander, D. Serre (Eds.)) Elsevier [2006] (with J.Malek). 37 (317) Rate-Type Model for Bituminous Mixtures and Its Application to Sand Asphalt, ASCE Journal of Engineering Mechanics, 132, 632-640[2006], (with J. Murali Krishnan and D. N. Little). (318) Pressure Control Scheme for Air Brakes in Commercial Vehicles, IEE Proceedings on Intelligent Transportation Systems, 153 (1): 21-32 [2006] (with C. L. Bowlin, S. C. Subramanian and S. Darbha). (319) Thermomechanical framework for the constitutive modeling of asphalt concrete, International Journal of Geomechanics, 6 (1): 36-45 [2006] (with J. Muralikrishnan, E. Masad and D. N. Little). (320) Homogenization and global responses of inhomogeneous spherical non-linear elastic shells, Journal of Elasticity, 82, 193-214 [2006] (with Y.C. Chen and L.T.Wheeler). (321) On internal constraints in continuum mechanics, Differential Equations and Non- Linear Mechanics 2006, Article ID 18572, 12 pages, (2006) (with G. Saccomandi). (322) A viscoelastic fluid model for describing the mechanics of a coarse ligated plasma clot,Theoretical and Computational Fluid Mechanics, 20, 239-250 (2006) (with M. Anand and K. Rajagopal). (323) On the Burgers fluids. Mathematical Methods in Applied Sciences, 29, 2133-2147, (2006) (with R. Quintanilla) (324) On the deformation of the circumflex coronary artery during inflation tests at constant length, Experimental Mechanics, 46, 647-656 (2006) (with Saravanan, Baek, and Humphrey). (325) Information flow and its relation to stability of the motion of vehicles in a rigid formation, IEEE transactions on automatic control, 51, 1315-1319, (2006) (with S. Yadlapalli and S. Darbha). (326) A diagnostic system for air brakes in commercial vehicles, IEEE transactions on intelligent transportation systems, 7, 360-376, (2006) (with S.C. Shankar and S. Darbha). (327) Pulsatile Flow of a Chemically-Reacting Non-Linear Fluid, Computers and Mathematics with Applications, Computers with Mathematics and Applications, 52, 1131-1144 (2006) (with C. Bridges). (328) On the diffusion of fluids through solids undergoing large deformations, Mathematics and Mechanics of solids, 11, 91-105 (2006) (with S. C. Prasad). 2007 (329) A note on the flow induced by a constantly accelerating plate in an Oldroyd-B fluid, Applied Mathematical Modeling, 31, 641-654 (2007) (with C. Fetecau and S.C. Prasad). (330) Incompressible rate type fluids with pressure and shear-rate dependent material moduli Nonlinear analysis-real world applications, 8, 156-164 (2007) (with J. Malek) (331) Theoretical Modeling of Intracranial Aneurysyms, In Modeling of Biological Materials (eds. F.Mollica, L. Preziosi and K.R. Rajagopal), Birkhauser, Boston, (2007) (with S. Baek and , J.D. Humphrey) (332) Theoretical modeling of cyclically loaded biodegradable cylinders, In Modeling of Biological Materials, (eds. F. Mollica, L. Preziosi and K.R. Rajagopal), Birkhauser, 2007 (with J. Soares and J. Moore). (333) The status of the K-BKZ model within the framework of materials with multiple natural configurations, J. of Non-Newtonian Fluid Mechanics, 141, 67-72, (2007) (with I. J. Rao). (334) On Constitutive Equations for Anisotropic Nonlinearly Viscoelastic Solids, Mathematics and Mechanics of Solids, 12, 131-147 (2007) (with J. Merodio). (335) Elasticity of Elasticity, Zeitschrift fur Angewandte Mathematik und Physik, 58, 309-317 (2007). (336) On an Hierarchy of approximate models for flows of incompressible fluids through porous solids, 38 Mathematical Models and Methods in Applied Sciences, 17, 189-214 (2007). (337) Information flow and its relation to the stability of digitally controlled motion of vehicles in a rigid formation, Vol. 588 of Lecture Notes in Economics and Mathematical Systems, Springer (2007). (with Saikrishna Yadlapalli and Swaroop Darbha) (338) On the response of non-dissipative solids, Proceedings of the Royal Society A-mathematical physical and engineering sciences 463 : 357-367 (2007) (with A. R. Srinivasa) (339) A note on the flow through porous solids at high pressures, Computers and Mathematics with Applications, 53, 260-275 (2007) (with J. Malek). (340) Navier-slip with Evolutionary Navier-Stokes like systems with pressure and shear-rate dependent viscosity, Indiana Journal of Mathematics, 56, 51-85 (2007) (with Bulicek and J. Malek). (341) Mechanics the well-spring of mathematics: Volume 1, Computers and Mathematics with Applications, 53,155 (2007) (with J. Malek). (342) On the dynamics of viscoelastic materials with pressure dependent viscosity, International Journal of Engineering Science, 45, 41-54 (2007) (with G. Saccomandi). (343) Theory of small on large: Potential utility in computations of fluid-solid interactions in arteries, Computer Methods in Applied Mechanics and Engineering, 196, 3070-3078 (2007) (with S. Baek, R. L. Gleason and J. D. Humphrey) (344) Characterization of the non-linear response of asphalt mixtures using a torsional rheometer, Mechanics Research Communications, 34, 432-444 (2007) (with P. Ravindran and J. Muralikrishnan). (345) Towards an understanding of the mechanics underlying aortic dissection, Biomechanics and modeling in Biomechanics, 6, 345-359 9(2007) (with K. Rajagopal and C. Bridges). (346) An experimental investigation into the influence into the influence of fillers on the development of normal stresses and stress relaxation in asphalt mixtures due to torsion, Particulate Science and Technology, 25, 309-325 (2007) (with P. Ravindran, J. Muralikrishnan and D. N. Little). (347) Mechanics the well-spring of mathematics: Volume 2, Computers and Mathematics with Applications, 53, 345 (2007) (with J. Malek). (348) On the shear and bending of a polymer beam, International Journal of Plasticity, 23, 1618-1636 (2007) (with A. R. Srinivasa and A. S. Wineman) (349) Modeling materials with a stretching threshold, Mathematical Models and Methods in Applied Sciences, 17, 1799-1847 (2007) (with A. Fasano, A. Farina and L. Fusi) (350) On a new interpretation of the classical Maxwell model, Mechanics Research Communications, 34, 509-514 (2007) (with I. J. Rao) (351) A model for a relay valve used in an air brake system, Nonlinear Analysis: Hybrid systems, 1, 420- 442 (2007) (with S. V. Natarajan, S. C. Subramaniam and S. Darbha). (352) The physical and chemical structure of asphalt: a brief history of their usage and availability, in Reviews in geomechanics, Vol. 3, Jindrich Necas Center for Mathematical Modeling; Lecture Notes, (2007) (with J. M. Krishnan) (353) One-Dimensional motion of a material with a strain threshold, Le Mathematiche, 62, 199-218 (2007) (with A. Farina, A. Fasano and L. Fusi) (354) A Model for the Kinetics of Thermal Damage of Biological Membranes, Note di Matematica, 27 (2007). (with L. Tao, P. B. Wells and J. D. Humphrey). (355) A note on the flow through porous solids at high pressures, Computers and Mathematics with Applications, 53, 260-275 (2007) (with S. C. Subramaniam). 2008 39 (355) On the modeling of the viscoelastic response of embryonic tissues, Mathematics and Mechanics of Solids, 13, 81-91 (2008) (with W. A. Malik, S. C. Prasad and L. Preziosi) (356) On the response of non-dissipative solids, Communications in Nonlinear Science and Numerical Simulation, 13, 1089–1100 (2008) (with L. Tao) (357) A semi-inverse problem of flows of fluids with pressure dependent viscosities, Inverse Problems in in Science and Engineering, 16, 269-280 (2008). (358) Flow through porous media due to high pressure gradients, Applied Mathematics and Computations, 199, 748-759 (2008) (with K. Kannan) (359) A thermodynamic framework for the modeling of crystallizable shape memory polymers, 46, 325- 351, Intenational Journal of Engineering Science (2008). (with G. Barot and I. J. Rao). (360) Constitutive framework for biodegradable polymers for application to biodegradable stents, ASAIO Journal, 54, 295-301 (2008) (with J. Soares and J. Moore). (361) A thermodynamic framework for a mixture of two liquids, Nonlinear Analysis: Real World Applications, 9, 1649-1110 (2008) (with J. Malek) (362) On the thermodynamics of fluids with implicit constitutive relations, ZAMP, 59, 715-729 (2008) (with A. R. Srinivasa). (363) A review of mathematical models for the flow of traffic and some recent results, Nonlinear Analysis: Theory, methods and Applications, 69, 950-970 (2008) (with V. Tyagi and S. Darbha). (364) A thermomechanical model for modeling the compaction of asphalt mixes, Mechanics of Materials, 40, 846-864 (2008) (with S. Koneru and E. Masad). (365) Thermodynamics of Hypoelasticity, Zeitschrift fur Angewandte Mathematik und Physik, 59, 537- 553 (2008) (with B. Bernstein). (366) On the development of fluid models of the differential type within a thermodynamic framework, Mechanics Research Communications, 35, 483-489 (2008) (with A. R. Srinivasa). (367) 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, 253, 725-738 (2008) (with M. Anand and K. Rajagopal). (368) Modeling of entropy producing processes, smart devices: Modeling of material systems, American Institute of Physics, 1029, 3-9(2008). (369) A Quasi-correspondence principle for Quasi-linear viscoelastic solids, 12, 1-14 (2008) (with A. S. Wineman). (370) Flows of incompressible fluids subject to Navier’s slip on the boundary 56, 2128-2143 (2008) (with Hron, Le Roux and Malek). (371) Stability analysis of the Rayleigh-Bernard convection for a fluid with temperature and and pressure dependent viscosity, Non-Linear Analysis: Real World Applications,10, 1139 -1150(2008) (with L. Vergori and G. Saccomandi). (372) Discretization of an unsteady flow through a porous solid modeled by Darcy’s equations, Mathematical Models and Methods in the Applied Sciences, 18, 2087-2123(2008) (wih C. Bernardi and V. Girault). (373) On a class of non-dissipative materials that are not hyperelastic, Proc. Roy. Soc. London, Series A, 465, 493-500(2008) (with A. R. Srinivasa). (374) On the modeling of entropy producing processes, Electronic Transactions of Numerical Analysis, 31, 40-48(2008). (375) A parameter estimation scheme for a class of hybrid systems, Non-Linear Analysis: Hybrid Systems, 2, 1113-1124 (2008). 40 (376) Modeling sand-asphalt mixtures within a thermodynamic framework: theory and application to torsion experiments, In Press, International Journal of Pavement Engineering, 10, 115-131(2008) (with P. Ravindran, J. Muralikrishnan and E. Masad).