Search Results - "Rajagopal, KR"

An implicit constitutive relation for describing the small strain response of porous elastic solids whose material moduli are dependent on the density by Rajagopal, KR

“…In this short note, we develop a constitutive relation that is linear in both the Cauchy stress and the linearized strain, by linearizing implicit constitutive…”
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Conspectus of concepts of elasticity by Rajagopal, KR

“…The term ‘elasticity’ seems to conjure different images in different minds. After a discussion of the various interpretations of elasticity espoused by the…”
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A thermodynamic framework for additive manufacturing, using amorphous polymers, capable of predicting residual stress, warpage and shrinkage by Sreejith, P, Kannan, K, Rajagopal, KR

“…A thermodynamic framework has been developed for a class of amorphous polymers used in fused deposition modeling (FDM), in order to predict the residual…”
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Gibbs free energy based representation formula within the context of implicit constitutive relations for elastic solids by Průša, Vít, Rajagopal, K.R., Tůma, Karel

“…We derive a representation formula for a class of solids described by implicit constitutive relations between the Cauchy stress tensor and the Hencky strain…”
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A nonlinear viscoelastic constitutive model for polymeric solids based on multiple natural configuration theory by Muliana, A., Rajagopal, K.R., Tscharnuter, D., Pinter, Gerald

“…In this paper we carry out an experimental study and develop and corroborate a model for describing the response of viscoelastic solids undergoing…”
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A note on viscoelastic bodies whose material properties depend on the density by Rajagopal, KR, Wineman, A

“…In this note, we study the response of a viscoelastic body whose stress relaxation modulus and creep compliance depend on the density of the body in such a…”
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Modeling deformation induced anisotropy of light-activated shape memory polymers by Yuan, Zhi, Muliana, Anastasia, Rajagopal, K.R.

“…Light-activated shape memory polymers (LASMPs) are a new generation of active materials that undergo phase transformations upon light irradiation at different…”
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Quasi-linear viscoelastic modeling of light-activated shape memory polymers by Zhi, Yuan, Muliana, Anastasia, Rajagopal, KR

“…In this article, we model the mechanical behavior of light-activated shape memory polymers with a view toward determining the effect of the viscoelasticity of…”
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Dispersive transverse waves for a strain-limiting continuum model by Erbay, HA, Rajagopal, KR, Saccomandi, G, Şengül, Y

“…It is well known that propagation of waves in homogeneous linearized elastic materials of infinite extent is not dispersive. Motivated by the work of Rubin,…”
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A thermodynamically consistent constitutive equation for describing the response exhibited by several alloys and the study of a meaningful physical problem by Devendiran, V.K., Sandeep, R.K., Kannan, K., Rajagopal, K.R.

“…There are many alloys used in orthopaedic applications that are nonlinear in the elastic regime even when the strains are ‘small’ (see Hao et al., 2005; Saito…”
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Some remarks and clarifications concerning the restrictions placed on thermodynamic processes by Rajagopal, K.R., Srinivasa, A.R.

“…Various disparate restrictions are assumed with regard to bodies undergoing thermodynamic processes, in addition to the second law, to cull the class of…”
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Reversal of flow of a non-Newtonian fluid in an expanding channel by Harley, C., Momoniat, E., Rajagopal, K.R.

“…The flow of an incompressible power-law fluid through convergent–divergent channels is considered where the choice of the viscosity is such that the stress…”
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Implicit equations for thermoelastic bodies by Bustamante, R., Rajagopal, K.R.

“…In this paper we generalize the recent implicit models that have been put into place to describe the elastic response of bodies when thermal effects come into…”
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Implicit constitutive relations for visco-elastic solids: Part II. Non-homogeneous deformations by Bustamante, R., Rajagopal, K.R., Orellana, O., Meneses, R.

“…A constitutive relation was developed in Part I for describing the response of a class of visco-elastic bodies, wherein the left Cauchy–Green tensor, the…”
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Implicit constitutive relations for describing the response of visco-elastic bodies by Bustamante, R., Rajagopal, K.R., Orellana, O., Meneses, R.

“…A constitutive relation is proposed for viscoelastic bodies that is a generalization of the classic Kelvin–Voigt model, wherein the left Cauchy–Green tensor,…”
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Corrigendum to “Reversal of flow of a non-Newtonian fluid in an expanding channel” [Int. J. Non-Linear Mech. 101 (2018) 44–45] by Harley, C., Momoniat, E., Meleshko, S.V., Rajagopal, K.R.

“…In their study “Reversal of flow of non-Newtonian fluid in an expanding channel” (Harley et al., 2018), the authors assume a similarity transformation to study…”
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A theoretical model of enlarging intracranial fusiform aneurysms by Baek, S, Rajagopal, K R, Humphrey, J D

“…The mechanisms by which intracranial aneurysms develop, enlarge, and rupture are unknown, and it remains difficult to collect the longitudinal patient-based…”
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Simulation of inextensible elasto-plastic beams based on an implicit rate type model by Wang, Zhujiang, Srinivasa, Arun R., Rajagopal, K.R., Reddy, J.N.

“…The aim of this paper is to show that it is possible to model the elasto-plastic behavior of an inextensible beam undergoing finite bending by using a novel…”
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Lubrication approximation of flows of a special class of non-Newtonian fluids defined by rate type constitutive equations by Fusi, L, Farina, A, Saccomandi, G, Rajagopal, KR

“…We consider the flow of a rate-type fluid defined by an implicit constitutive equation in a channel with non flat walls. We also assume that the channel…”
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Initiation of damage in a class of polymeric materials embedded with multiple localized regions of lower density by Alagappan, P, Rajagopal, KR, Kannan, K

“…Fatigue and damage are the least understood phenomena in the mechanics of solids. Recently, Alagappan et al. (“On a possible methodology for identifying the…”
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