A generalized constitutive elasticity law for GLPD micromorphic materials, with application to the problem of a spherical shell subjected to axisymmetric loading conditions

A generalized constitutive elasticity law for GLPD micromorphic materials, with application to the problem of a spherical shell subjected to axisymmetric loading conditions

In this work we propose to replace the GLPD hypo-elasticity law by a more rigorous generalized Hooke's law based on classical material symmetry characterization assumptions. This law introduces in addition to the two well-known Lame's moduli, five constitutive constants. An analytical solu...

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Bibliographic Details
Main Author: Koffi Enakoutsa
Format: Article
Language:English
Published: Elsevier 2014-01-01
Series:Theoretical and Applied Mechanics Letters
Subjects:
GLPD model
micromorphic
generalized elasticity
analytical solution
Online Access:http://www.sciencedirect.com/science/article/pii/S209503491530297X
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spelling doaj-3b0a0e6d062d4710b3492fbca356c4ce2020-11-24T23:26:24ZengElsevierTheoretical and Applied Mechanics Letters2095-03492014-01-014210.1063/2.1402102A generalized constitutive elasticity law for GLPD micromorphic materials, with application to the problem of a spherical shell subjected to axisymmetric loading conditionsKoffi EnakoutsaIn this work we propose to replace the GLPD hypo-elasticity law by a more rigorous generalized Hooke's law based on classical material symmetry characterization assumptions. This law introduces in addition to the two well-known Lame's moduli, five constitutive constants. An analytical solution is derived for the problem of a spherical shell subjected to axisymmetric loading conditions to illustrate the potential of the proposed generalized Hooke's law.http://www.sciencedirect.com/science/article/pii/S209503491530297XGLPD modelmicromorphicgeneralized elasticityanalytical solution
collection DOAJ
language English
format Article
sources DOAJ
author Koffi Enakoutsa
spellingShingle Koffi Enakoutsa
A generalized constitutive elasticity law for GLPD micromorphic materials, with application to the problem of a spherical shell subjected to axisymmetric loading conditions
Theoretical and Applied Mechanics Letters
GLPD model
micromorphic
generalized elasticity
analytical solution
author_facet Koffi Enakoutsa
author_sort Koffi Enakoutsa
title A generalized constitutive elasticity law for GLPD micromorphic materials, with application to the problem of a spherical shell subjected to axisymmetric loading conditions
title_short A generalized constitutive elasticity law for GLPD micromorphic materials, with application to the problem of a spherical shell subjected to axisymmetric loading conditions
title_full A generalized constitutive elasticity law for GLPD micromorphic materials, with application to the problem of a spherical shell subjected to axisymmetric loading conditions
title_fullStr A generalized constitutive elasticity law for GLPD micromorphic materials, with application to the problem of a spherical shell subjected to axisymmetric loading conditions
title_full_unstemmed A generalized constitutive elasticity law for GLPD micromorphic materials, with application to the problem of a spherical shell subjected to axisymmetric loading conditions
title_sort generalized constitutive elasticity law for glpd micromorphic materials, with application to the problem of a spherical shell subjected to axisymmetric loading conditions
publisher Elsevier
series Theoretical and Applied Mechanics Letters
issn 2095-0349
publishDate 2014-01-01
description In this work we propose to replace the GLPD hypo-elasticity law by a more rigorous generalized Hooke's law based on classical material symmetry characterization assumptions. This law introduces in addition to the two well-known Lame's moduli, five constitutive constants. An analytical solution is derived for the problem of a spherical shell subjected to axisymmetric loading conditions to illustrate the potential of the proposed generalized Hooke's law.
topic GLPD model
micromorphic
generalized elasticity
analytical solution
url http://www.sciencedirect.com/science/article/pii/S209503491530297X
work_keys_str_mv AT koffienakoutsa ageneralizedconstitutiveelasticitylawforglpdmicromorphicmaterialswithapplicationtotheproblemofasphericalshellsubjectedtoaxisymmetricloadingconditions
AT koffienakoutsa generalizedconstitutiveelasticitylawforglpdmicromorphicmaterialswithapplicationtotheproblemofasphericalshellsubjectedtoaxisymmetricloadingconditions
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