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Accepted Paper: A novel nonlinear constitutive model for rock: numerical assessment and benchmarking

  • August 29, 2020
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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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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

  • August 24, 2016
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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

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Paper Accepted: 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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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

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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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