## Publications

### Refereed Journal Publications

#### Published

- S. Karra and K. R. Rajagopal, A model for the thermo-oxidative degradation of polyimides, Mechanics of Time-Depend Mechanics of Time-Depend Materials,16, 329–342 [2012].
- A. Ortiz, R. Bustamante and K. R. Rajagopal, A numerical study of a plate with a hole for a new class of elastic bodies, Acta Mechanica, 223, 1971–1981 [2012].
- J. Hron, J. Kratochvil, J. Malek, K. R. Rajagopal and K. Tuma, A thermodynamically compatible rate type fluid to describe the response of asphalt, Mathematics and Computers in Simulation, 82, 1853–1873[2012].
- H. Nagarajan, S. Rathinam, S. Darbha and K. R. Rajagopal, Algorithms for synthesizing mechanical systems with maximal natural frequencies, Nonlinear Analysis: Real World Applications 13, 2154–2162 [2012].
- K. R. S. Chaitanya, A. Muliana and K. R. Rajagopal, Controlling the deformation in elastic and viscoelastic structures due to temperature and moisture changes using piezoelectric actuators, Journal of Intelligent Material Systems and Structures, 23, 1949-1967 [2012].
- S. Karra and K. R. Rajagopal, Degradation and healing in a generalized neo-Hookean solid due to infusion of a fluid, Mechanics of Time-Depend Materials, 16, 85–104[2012].
- M. Heida, J. Malek and K. R. Rajagopal, On the development and generalizations of Cahn–Hilliard equations within a thermodynamic Framework, Z. Angew. Math. Phys. 63, 145–169 [2012].
- R. B. Hall and K. R. Rajagopal, Diffusion of a fluid through an anisotropically chemically reacting thermoelastic body within the context of mixture theory, 17, 131-164[2012].
- V. Prusa and K. R. Rajagopal, Flow of an electrorheological fluid between eccentric rotating cylinders, Theor. Comput. Fluid Dynamics 26, 1–21[2012].
- K. R. Rajagopal, G. Saccomandi and L. Vergori, Flow of fluids with pressure- and shear-dependent viscosity down an inclined plane, Journal of Fluid Mechanics, 706, 173–189 [2012].
- R. Quintanilla and K. R. Rajagopal, Further mathematical results concerning Burgers fluids and their generalizations, Z. Angew. Math. Phys. 63, 191–202 [2012].
- D. Prazac and K. R. Rajagopal, Mechanical Oscillators described by a system of differential-algebraic systems, Applications of Mathematics, 2, 129–142 [2012].
- A. Muliana and K. R. Rajagopal, Modeling the response of nonlinear viscoelastic biodegradable polymeric stents, International Journal of Solids and Structures 49, 989–1000 [2012].
- S.P. Atul Narayan, K.A. Venkata Nag, J. Murali Krishnan, Abhijit P. Deshpande and K. R. Rajagopal, Nonlinear viscoelastic response of asphalt binders in transient tests, Road Materials and Pavement Design, 13, 191–20 [2012].
- S.P.A. Narayan*, J.M. Krishnan, A.P. Deshpande and K. R. Rajagopal, Nonlinear viscoelastic response of asphalt binders: An experimental study of the relaxation of torque and normal force in torsion, Mechanics Research Communications, 43, 66–74 [2012].
- K. R. Rajagopal, A note on novel generalizations of the Maxwell fluid model, International Journal of Non-Linear Mechanics 47, 72–76 [2012].
- V. Prusa and K. R. Rajagopal, On implicit constitutive relations for materials with fading memory, Journal of Non-Newtonian Fluid Mechanics 181–182, 22–29 [2012].
- K. R. Rajagopal, On the cavalier attitude towards referencing, International Journal of Engineering Science, 51, 338–343 [2012].
- On the development and generalizations of Allen–Cahn and Stefan equations within thermodynamic framework, Z. Angew. Math. Phys. 63, 759–776 [2012] (M.Heida and J. Malek).
- R. Bustamante and K. R. Rajagopal, On the inhomogeneous shearing of a new class of elastic bodies, Mathematics and Mechanics of Solids, 17, 762-778 [2012].
- M. Bulicek, J. Malek and K. R. Rajagopal, On the Kelvin-Voigt model and its generalizations, Evolution equations and Control theory, 1, 17-42 {2012].
- A. Muliana and K. R. Rajagopal, On the response of viscoelastic biodegradable polymeric solids, Mechanics Research Communications, 39, 51– 58 [2012].
- Revisiting total, matric, and osmotic suction in partially saturated geomaterials, Z. Angew. Math. Phys. 63 (2012), 373–394 [2012] (With Z. Grasley).
- V. Prusa, S. Shriram and K. R. Rajagopal, Role of pressure dependent viscosity in measurements with falling cylinder viscometer, International Journal of Non-Linear Mechanics 47, 743–750 [2012].
- K. R. Rajagopal, Thermomechanics of Rate Type Fluids, Discrete and Continuous Dynamical Systems, 5, 1133-1145 [2012].

#### Accepted/In Print:

- K. R. Rajagopal, Modeling bodies that can only undergo isochoric motions subject to mechanical stimuli but are compressible or expansible with respect to thermal stimuli, Z. Angew. Math. Phys. DOI 10.1007/s00033-012-0258-2.
- K. R. Rajagopal and A. R. Srinivasa, Restrictions placed on constitutive relations by angular momentum balance and Galilean invariance, Z. Angew. Math. Phys. DOI 10.1007/s00033-012-0231-y
- K. Kannan and K. R. Rajagopal, A model for the flow of rock glaciers, International Journal of Non-Linear Mechanics, .doi.org/10.1016/j.ijnonlinmec.2012.06.002
- V. Kulvait, J. Malek and K. R. Rajagopal, Anti-plane stress state of a plate with a V-notch for a new class of elastic solids, International Journal of Fracture, DOI 10.1007/s10704-012-9772-5
- R. Bustamante and K. R. Rajagopal, On a new class of electroelastic bodies. I. Proc. Roy. Society London, Ser A., doi.org/10.1098/rspa.2012.0521
- K. R. Rajagopal, A new development and interpretation of the Navier–Stokes fluid which reveals why the ‘‘Stokes assumption’’ is inapt, International J. Non-Linear Mechanics, doi.org/10.1016/j.ijnonlinmec.2012.10.007
- V. Prusa, A note on the modelling of incompressible fluids with material moduli dependent on the mean normal stress, International Journal of Engineering Science, In press [2012].
- V. Prusa, K. R. Rajagopal and U. Saravanan, Fidelity of the estimation of the deformation gradient from data deduced from the motion of markers placed on a body that is subject to an inhomogeneous deformation field, Accepted for publication, In press [2012].
- A. Muliana, K. R. Rajagopal and A. S. Wineman, On a Burgers’ Fluid with Pressure Dependent Moduli” Mechanics Time-dependent Materials, In press [2012].
- S. Srinivasan and K. R. Rajagopal, Flow of a fluid through porous media at high pressures, Journal of Porous Media, In Press [2012].

#### Publication of books, book chapters, or authoritative references

- J. Malek and K. R. Rajagopal, Flow of a fluid described by an implicit constitutive equation characterized by a maximal graph, In Mathematical aspects of Fluid Mechanics, pp23-61 (edited by J. C. Robinson, J. L. Rodrigo and W. Sadowski), Cambridge University Press, Cambridge [2012].
- H. Nagarajan, S. Rathinam, S. Darbha and K. R. Rajagopal, Algorithms for Diameter-constrained Graphs with Maximum Algebraic Connectivity, Dynamics of Information Systems: Mathematical Foundations, editors: Panos Pardolos and Alexy Sorokin, 126-131 [2012].