Implicit constitutive relations are discussed for elastic, electro-and magneto-elastic and
thermo-elastic bodies. Approximations of implicit constitutive equations for electro-elastic …

The term 'elasticity'seems to conjure different images in different minds. After a discussion of
the various interpretations of elasticity espoused by the pioneers, we discuss the notions of …

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 …

Recent advances in the development of implicit constitutive relations to describe the
response of both solids and fluids have greatly increased the repertoire of the modeler in his …

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 …

A major drawback of the study of cracks within the context of the linearized theory of
elasticity is the inconsistency that one obtains with regard to the strain at a crack tip, namely …

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 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 …

Within the context of the non-linear theory of Cauchy elastic bodies (hence Green elastic
bodies which are a sub-set of Cauchy elastic bodies wherein the stress is derivable from a …

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 …