[HTML][HTML] Gradient elasticity in statics and dynamics: an overview of formulations, length scale identification procedures, finite element implementations and new results

H Askes, EC Aifantis - International Journal of Solids and Structures, 2011 - Elsevier
In this paper, we discuss various formats of gradient elasticity and their performance in static
and dynamic applications. Gradient elasticity theories provide extensions of the classical …

Hyperelastic energy densities for soft biological tissues: a review

G Chagnon, M Rebouah, D Favier - Journal of Elasticity, 2015 - Springer
Many soft tissues are naturally made of a matrix and fibres that present some privileged
directions. They are known to support large reversible deformations. The mechanical …

The elasticity of elasticity

KR Rajagopal - Zeitschrift für angewandte Mathematik und Physik, 2007 - Springer
In this note we assert that the usual interpretation of what one means by “elasticity” is much
too insular and illustrates our thesis by introducing implicit constitutive theories that can …

The relationship between viscoelasticity and elasticity

JH Snoeijer, A Pandey… - Proceedings of the …, 2020 - royalsocietypublishing.org
Soft materials that are subjected to large deformations exhibit an extremely rich
phenomenology, with properties lying in between those of simple fluids and those of elastic …

Conspectus of concepts of elasticity

KR Rajagopal - Mathematics and Mechanics of Solids, 2011 - journals.sagepub.com
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 …

On implicit constitutive theories for fluids

KR Rajagopal - Journal of Fluid Mechanics, 2006 - cambridge.org
We consider generalizations of fluid models wherein the fluid is assumed to be
incompressible, but with the viscosity depending on the pressure. We show that a natural …

On the central role of the invariant I2 in nonlinear elasticity

A Anssari-Benam, A Bucchi, G Saccomandi - International Journal of …, 2021 - Elsevier
The necessity of the inclusion of the second invariant of the left Cauchy-Green deformation
tensor B, namely I 2, in the strain energy function W of rubber-like materials is analysed …

Large Isotropic Elastic Deformations: On a Comprehensive Model to Correlate the Theory and Experiments for Incompressible Rubber-Like Materials

A Anssari-Benam - Journal of Elasticity, 2023 - Springer
A comprehensive model, ie, a model that:(i) suitably captures the mechanical behaviour of
various types of rubber-like materials;(ii) describes the constitutive behaviour of a subject …

On the response of non-dissipative solids

KR Rajagopal, AR Srinivasa - Proceedings of the …, 2007 - royalsocietypublishing.org
In addition to being incapable of dissipation, in any process that it is subject to, there are
other tacit requirements that a classical elastic body has to meet. The class of solids that are …

Nonlinear electroelasticity: material properties, continuum theory and applications

L Dorfmann, RW Ogden - Proceedings of the Royal …, 2017 - royalsocietypublishing.org
In the last few years, it has been recognized that the large deformation capacity of
elastomeric materials that are sensitive to electric fields can be harnessed for use in …