Applications in Engineering Science Vol. 3, 100012, 2020 R. Bustamante, S. Montero, A. Ortiz-Bernardin Abstract In this article, we assess and benchmark a novel nonlinear constitutive relation for modeling the behavior of rock, in which the linearized strain tensor is a function of the Cauchy stress tensor. In stark contrast with the linearized theory of
Read More » Read More Paper Accepted for Publication in Applications in Engineering Science R. Bustamante, S. Montero, A. Ortiz-Bernardin, “A novel nonlinear constitutive model for rock: numerical assessment and benchmarking” ABSTRACT In this article, we assess and benchmark a novel nonlinear constitutive relation for modeling the behavior of rock, in which the linearized strain tensor is a function of
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2016 – 2020 Principal Investigator: Roger Bustamante. Co-Investigator: Alejandro Ortiz-Bernardin. Project funded by CONICYT-FONDECYT (Grant Nº 1160030) 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
Read More » Read MorePaper 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
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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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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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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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