Damage dynamics: A variational approach

In this paper we construct, by means of a variational formulation, the solutions of a problem of elastodynamics which includes the effect of damage for the elastic material. The result is a wave equation with time dependent operators which represents the elastic coefficients of the material undergoi...

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Bibliographic Details
Main Authors:	Adriana Garroni, Christopher J. Larsen, David Sarrocco
Format:	Article
Language:	English
Published:	Sapienza Università Editrice 2020-06-01
Series:	Rendiconti di Matematica e delle Sue Applicazioni
Subjects:	damage dynamics g-convergence homogenization in dynamics threshold conditions.
Online Access:	https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2020(3-4)/275-299.pdf

id	doaj-a411202540c74c2a9b1f20108a95220f
record_format	Article
spelling	doaj-a411202540c74c2a9b1f20108a95220f2020-12-22T15:29:49ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502020-06-01413-4275299Damage dynamics: A variational approachAdriana Garroni0Christopher J. Larsen1 David Sarrocco2Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma, Roma, Italyathematical Sciences Worcester Polytechnic Institute 100 Institute Road Worcester, MA 01609.e-Geos Matera, ItalyIn this paper we construct, by means of a variational formulation, the solutions of a problem of elastodynamics which includes the effect of damage for the elastic material. The result is a wave equation with time dependent operators which represents the elastic coefficients of the material undergoing damage. The dynamics that we construct also satisfies a threshold condition with the same threshold value that characterizes the quasi-static evolution of damage (see [12]).https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2020(3-4)/275-299.pdfdamage dynamicsg-convergencehomogenization in dynamicsthreshold conditions.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Adriana Garroni Christopher J. Larsen David Sarrocco
spellingShingle	Adriana Garroni Christopher J. Larsen David Sarrocco Damage dynamics: A variational approach Rendiconti di Matematica e delle Sue Applicazioni damage dynamics g-convergence homogenization in dynamics threshold conditions.
author_facet	Adriana Garroni Christopher J. Larsen David Sarrocco
author_sort	Adriana Garroni
title	Damage dynamics: A variational approach
title_short	Damage dynamics: A variational approach
title_full	Damage dynamics: A variational approach
title_fullStr	Damage dynamics: A variational approach
title_full_unstemmed	Damage dynamics: A variational approach
title_sort	damage dynamics: a variational approach
publisher	Sapienza Università Editrice
series	Rendiconti di Matematica e delle Sue Applicazioni
issn	1120-7183 2532-3350
publishDate	2020-06-01
description	In this paper we construct, by means of a variational formulation, the solutions of a problem of elastodynamics which includes the effect of damage for the elastic material. The result is a wave equation with time dependent operators which represents the elastic coefficients of the material undergoing damage. The dynamics that we construct also satisfies a threshold condition with the same threshold value that characterizes the quasi-static evolution of damage (see [12]).
topic	damage dynamics g-convergence homogenization in dynamics threshold conditions.
url	https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2020(3-4)/275-299.pdf
work_keys_str_mv	AT adrianagarroni damagedynamicsavariationalapproach AT christopherjlarsen damagedynamicsavariationalapproach AT davidsarrocco damagedynamicsavariationalapproach
_version_	1724374160278290432

Damage dynamics: A variational approach

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