finite element analysis

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

September 22, 2015
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Acta Mechanica Vol. 227, No. 2, pp. 601-615, 2016 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

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

November 25, 2013
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International Journal of Solids and Structures Vol. 51, No. 3-4, pp. 875-885, 2014 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 the

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A numerical study of a plate with a hole for a new class of elastic bodies

November 25, 2013
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Acta Mechanica Vol. 223, No. 9, pp. 1971-1981, 2012 A. Ortiz, R. Bustamante, K.R. Rajagopal Abstract It has been shown recently that the class of elastic bodies is much larger than the classical Cauchy and Green elastic bodies, if by an elastic body one means a body incapable of dissipation (converting working into heat). In

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