A boundary element formulation to obtain the constitutive response of heterogeneous microstructures is proposed, considering a RVE-based multiscale theory. The sub-region technique is adopted to model the RVE (Representative ...

Numerical analyses to model the constitutive response of heterogeneous materials by a Boundary Element Formulation, developed in the context of a RVE-based multi-scale theory, are performed. In this case, the material ...

Recently, there has been interest in the study of a new class of constitutive relation, wherein the linearized strain tensor is assumed to be a function of the stresses. In this communication, some boundary value problems ...

Several boundary value problems are solved for a new class of constitutive equation, where the left Cauchy-Green stretch tensor is given as a non-linear function of the Cauchy stress tensor. Some constitutive inequalities ...

In part I of this two-part paper, a new theoretical framework was presented to describe the response of electro-elastic bodies. The constitutive theory that was developed consists of two implicit constitutive relations: ...

A BEM formulation to perform elastic analysis of heterogeneous microstructures is proposed in the context of multi-scale analysis. The microstructure, also denoted as RVE (Representative Volume Element), is modeled as a ...

In this paper, we apply the coupling of local discontinuous Galerkin and boundary element methods to solve a class of non-linear exterior transmission problems in the plane. As a model, we consider a non-linear elliptic ...