The classical linearized approximation to describe the elastic response of solids is the most
widely used model in solid mechanics. This approximate model is arrived at by assuming …

The main purpose of this study is to investigate the efficacy and usefulness of a class of
recently proposed models that could be reasonable candidates for describing the response …

In this paper, the finite element solutions of crack-tip fields for an elastic porous solid with
density-dependent material moduli are presented. Unlike the classical linearized case in …

In order to understand nonlinear responses of materials to external stimuli of different sort,
be they of mechanical, thermal, electrical, magnetic, or of optical nature, it is useful to have at …

We investigate a specific finite element model to study the thermoelastic behavior within the
context of nonlinear strain-limiting constitutive relation. As a special subclass of implicit …

Recent interest in develo** new constitutive models for the behavior of elastic materials
has led to a new nonlinear theory of elasticity, wherein the linearized strain bears a …

We investigate a quasi-static tensile fracture in nonlinear strain-limiting solids by coupling
with the phase-field approach. A classical model for the growth of fractures in an elastic …

It is well known that the linearized theory of elasticity admits the logically inconsistent
solution of singular strains when applied to certain naive models of fracture while the theory …

We study the crack-tip fields in a three-dimensional (3D) plate with a V-shaped crack
employing Rajagopal's theory of elasticity with the strain-limiting effect. The classical linear …

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 et al., 2003; Sakaguch …