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 relations between the stress and …

In this article, we develop a new implicit constitutive relation, which is based on a
thermodynamic foundation that relates the Hencky strain to the Cauchy stress, by assuming …

We investigate the pure bending of an elastic prismatic beam, but unlike in the classical
setting we assume that the material parameters are density-dependent. The corresponding …

In a recent contribution to the fundamental understanding of polymer fluid dynamics,
Khambhampati and Rajagopal (2021) established a connection between the natural …

Soft materials undergo large mechanical deformation prior to failure when subjected to
external loads. They exhibit nonlinearity alongside coupled elastic, viscous, and plastic …

Inverse non-linear stress–strain relations between the logarithmic Hencky strain tensor and
the Cauchy stress tensor are derived for incompressible isotropic materials. The constitutive …

For a relatively new class of constitutive equation for incompressible elastic bodies, wherein
the Hencky strain tensor is a function of the Cauchy stress tensor, incremental equations are …

If an elastic body is defined as one that does not dissipate energy into heat, the classes of
elastic bodies not only include the Green elastic solid, but also some types of implicit …

Implicit rate-type constitutive relations utilising discontinuous functions provide a novel
approach to the purely phenomenological description of the inelastic response of solids …

We prove the existence of large-data global-in-time weak solutions to an evolutionary PDE
system describing flows of incompressible heat-conducting viscoelastic rate-type fluids with …