A novel nonlinear constitutive model for rock: Numerical assessment and benchmarking

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 elasticity, the main feature of this novel nonlinear co...

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Autores principales:	R. Bustamante, S. Montero, A. Ortiz-Bernardin
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2020
Materias:	Nonlinear elasticity Stress concentration Small strains and rotations Isotropic bodies Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/39cf85dbe6cd4728979111aca5827291
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id	oai:doaj.org-article:39cf85dbe6cd4728979111aca5827291
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spelling	oai:doaj.org-article:39cf85dbe6cd4728979111aca58272912021-12-01T05:05:25ZA novel nonlinear constitutive model for rock: Numerical assessment and benchmarking2666-496810.1016/j.apples.2020.100012https://doaj.org/article/39cf85dbe6cd4728979111aca58272912020-09-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666496820300121https://doaj.org/toc/2666-4968In 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 elasticity, the main feature of this novel nonlinear constitutive model is that a different behavior is obtained in compression than in tension, which is consisting with the experimental evidence. Four problems are solved using the finite element method: the compression of a cylinder, the biaxial compression of a slab with a circular hole and with an elliptic hole, and the shear of a slab with an elliptic hole. The results are compared with the predictions of the linearized theory of elasticity. In this comparison, it is found that the maximum stresses and their locations are significantly affected by the choice of the constitutive equation.R. BustamanteS. MonteroA. Ortiz-BernardinElsevierarticleNonlinear elasticityStress concentrationSmall strains and rotationsIsotropic bodiesEngineering (General). Civil engineering (General)TA1-2040ENApplications in Engineering Science, Vol 3, Iss , Pp 100012- (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Nonlinear elasticity Stress concentration Small strains and rotations Isotropic bodies Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Nonlinear elasticity Stress concentration Small strains and rotations Isotropic bodies Engineering (General). Civil engineering (General) TA1-2040 R. Bustamante S. Montero A. Ortiz-Bernardin A novel nonlinear constitutive model for rock: Numerical assessment and benchmarking
description	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 elasticity, the main feature of this novel nonlinear constitutive model is that a different behavior is obtained in compression than in tension, which is consisting with the experimental evidence. Four problems are solved using the finite element method: the compression of a cylinder, the biaxial compression of a slab with a circular hole and with an elliptic hole, and the shear of a slab with an elliptic hole. The results are compared with the predictions of the linearized theory of elasticity. In this comparison, it is found that the maximum stresses and their locations are significantly affected by the choice of the constitutive equation.
format	article
author	R. Bustamante S. Montero A. Ortiz-Bernardin
author_facet	R. Bustamante S. Montero A. Ortiz-Bernardin
author_sort	R. Bustamante
title	A novel nonlinear constitutive model for rock: Numerical assessment and benchmarking
title_short	A novel nonlinear constitutive model for rock: Numerical assessment and benchmarking
title_full	A novel nonlinear constitutive model for rock: Numerical assessment and benchmarking
title_fullStr	A novel nonlinear constitutive model for rock: Numerical assessment and benchmarking
title_full_unstemmed	A novel nonlinear constitutive model for rock: Numerical assessment and benchmarking
title_sort	novel nonlinear constitutive model for rock: numerical assessment and benchmarking
publisher	Elsevier
publishDate	2020
url	https://doaj.org/article/39cf85dbe6cd4728979111aca5827291
work_keys_str_mv	AT rbustamante anovelnonlinearconstitutivemodelforrocknumericalassessmentandbenchmarking AT smontero anovelnonlinearconstitutivemodelforrocknumericalassessmentandbenchmarking AT aortizbernardin anovelnonlinearconstitutivemodelforrocknumericalassessmentandbenchmarking AT rbustamante novelnonlinearconstitutivemodelforrocknumericalassessmentandbenchmarking AT smontero novelnonlinearconstitutivemodelforrocknumericalassessmentandbenchmarking AT aortizbernardin novelnonlinearconstitutivemodelforrocknumericalassessmentandbenchmarking
_version_	1718405534816665600

A novel nonlinear constitutive model for rock: Numerical assessment and benchmarking

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