Generalized multiscale finite element treatment of a heterogeneous nonlinear strain-limiting elastic model

M Vasilyeva, SM Mallikarjunaiah - Multiscale Modeling & Simulation, 2024 - SIAM
In this work, we consider a nonlinear strain-limiting elastic model in heterogeneous
domains. We investigate heterogeneous material with soft and stiff inclusions and …

Computational modeling of circular crack-tip fields under tensile loading in a strain-limiting elastic solid

K Gou, SM Mallikarjunaiah - Communications in Nonlinear Science and …, 2023 - Elsevier
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 …

Finite element study of V-shaped crack-tip fields in a three-dimensional nonlinear strain-limiting elastic body

K Gou, SM Mallikarjunaiah - Mathematics and Mechanics of …, 2023 - journals.sagepub.com
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 …

Finite element solution of crack-tip fields for an elastic porous solid with density-dependent material moduli and preferential stiffness

HC Yoon, SM Mallikarjunaiah… - Advances in Mechanical …, 2024 - journals.sagepub.com
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 …

[HTML][HTML] A bimodular nonlinear constitutive equation for rock

R Bustamante, C Ortiz - Applications in Engineering Science, 2021 - Elsevier
Experimental data for the strains and stresses is obtained for some classes of rock, for the
compression and tension of a cylindrical sample without lateral loads, and for the triaxial …

Preferential stiffness and the crack-tip fields of an elastic porous solid based on the density-dependent moduli model

HC Yoon, SM Mallikarjunaiah, D Bhatta - arxiv preprint arxiv:2212.08181, 2022 - arxiv.org
In this paper, we study the preferential stiffness and the crack-tip fields for an elastic porous
solid of which material properties are dependent upon the density. Such a description is …

Energy characteristics and damage constitutive model of pre‐cracked granite with or without filling materials

T Tan, C Zhang, B Dai, Y Wang - Fatigue & Fracture of …, 2024 - Wiley Online Library
In order to study the effects of pre‐crack inclination angle and filling material on granite,
uniaxial compression tests were performed on pre‐cracked granite specimens without filling …

An efficient finite element method for computing the response of a strain-limiting elastic solid containing a v-notch and inclusions

SM Mallikarjunaiah - arxiv preprint arxiv:2402.13409, 2024 - arxiv.org
Accurate triangulation of the domain plays a pivotal role in computing the numerical
approximation of the differential operators. A good triangulation is the one which aids in …

A beam theory for a new class of constitutive relation for elastic bodies

R Bustamante - Mathematics and Mechanics of Solids, 2023 - journals.sagepub.com
A theory for two-dimensional (2D) beams is presented for the case of considering new
constitutive equations, wherein the linearized (infinitesimal) strain tensor is assumed to be a …

[HTML][HTML] A nonlinear constitutive model for some hard electro-elastic solids. Solutions of some boundary value problems

N Yévenes, R Bustamante - Applications in Engineering Science, 2022 - Elsevier
A constitutive equation for a class of electro-elastic solid is proposed, neglecting dissipation
of energy, and assuming that the gradient of the displacement field is small (the above …