Tag: implicit elasticity

On the use of implicit constitutive relations to model the behaviour of elastic and inelastic deformations in continua: Applications to the mathematical modelling of rock

Principal Investigator: Roger Bustamante. Co-Investigator: Alejandro Ortiz-Bernardin. Project funded by Fondecyt-Conicyt Geomaterials such as rock and soil can show a plethora of nonlinear phenomena regarding their mechanical behaviour, such as: hysteresis (i.e., dependency of the mechanical properties in the load history), nonlinear relations between stresses and strains (even in the case of considering small strains),…

Paper Accepted: A finite element analysis of some boundary value problems for a new type of constitutive relation for elastic bodies

Paper Accepted for Publication in Acta Mechanica S. Montero, R. Bustamante, A. Ortiz-Bernardin, “A finite element analysis of some boundary value problems for a new type of constitutive relation for elastic bodies.” ABSTRACT Recently, there has been interest in the study of a new class of constitutive relation, wherein the linearized strain tensor is assumed…

A finite element analysis of some boundary value problems for a new type of constitutive relation for elastic bodies

Acta Mechanica Volume 227, Issue 2, 2016, pp 601-615 S. Montero, R. Bustamante, A. Ortiz-Bernardin, Abstract 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 are solved using the finite…

A numerical study of elastic bodies that are described by constitutive equations that exhibit limited strains

International Journal of Solids and Structures Volume 51, Issues 3–4, February 2014, Pages 875–885 A. Ortiz-Bernardin, R. Bustamante, K.R. Rajagopal Abstract Recently, a very general and novel class of implicit bodies has been developed to describe the elastic response of solids. It contains as a special subclass the classical Cauchy and Green elastic bodies. Within…