In this work, we consider a nonlinear strain-limiting elastic model in heterogeneous
domains. We investigate heterogeneous material with soft and stiff inclusions and …

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 …

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 …

In this paper, we apply the constraint energy minimizing generalized multiscale finite
element method (CEM-GMsFEM) to first solving a nonlinear poroelasticity problem. The …

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 …

Implicit constitutive relations afford a logically consistent framework for formulating strain-
limiting, nonlinear elastic constitutive models utilizing the classical linearized strain tensor …

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 …

In this paper, we consider multiscale methods for nonlinear elasticity. In particular, we
investigate the Generalized Multiscale Finite Element Method (GMsFEM) for a strain-limiting …

We study a quasi-static evolution of anti-plane crack with the nonlinear strain-limiting model
using the phase-field approach. The nonlinear strain-limiting models, a subclass of the …

We introduce a data-driven framework to automatically identify interpretable and physically
meaningful hyperelastic constitutive models from sparse data. Leveraging symbolic …