On universal relations in continuum mechanics: A discussion centred on shearing motions

A local universal relation is an equation between the stress components and the position vector components which holds for any material in an assigned constitutive family. Although universal relations may be of great help to modellers in characterizing the material behaviour, they are often ignored....

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Autores principales:	Giuseppe Saccomandi, Luigi Vergori
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2020
Materias:	Universal relations Universal solutions Shearing motions Nonlinear elasticity Nonlinear viscoelastic materials Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/a4f10bc360c341e782d0f18e7b97b95d
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spelling	oai:doaj.org-article:a4f10bc360c341e782d0f18e7b97b95d2021-12-01T05:05:38ZOn universal relations in continuum mechanics: A discussion centred on shearing motions2666-496810.1016/j.apples.2020.100020https://doaj.org/article/a4f10bc360c341e782d0f18e7b97b95d2020-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666496820300200https://doaj.org/toc/2666-4968A local universal relation is an equation between the stress components and the position vector components which holds for any material in an assigned constitutive family. Although universal relations may be of great help to modellers in characterizing the material behaviour, they are often ignored. In this paper we briefly discuss the valuable insights that universal relations may offer in solid mechanics and determine novel universal relations associated with shearing motions in nonlinearly elastic and nonlinearly viscoelastic materials of differential type.Giuseppe SaccomandiLuigi VergoriElsevierarticleUniversal relationsUniversal solutionsShearing motionsNonlinear elasticityNonlinear viscoelastic materialsEngineering (General). Civil engineering (General)TA1-2040ENApplications in Engineering Science, Vol 4, Iss , Pp 100020- (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Universal relations Universal solutions Shearing motions Nonlinear elasticity Nonlinear viscoelastic materials Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Universal relations Universal solutions Shearing motions Nonlinear elasticity Nonlinear viscoelastic materials Engineering (General). Civil engineering (General) TA1-2040 Giuseppe Saccomandi Luigi Vergori On universal relations in continuum mechanics: A discussion centred on shearing motions
description	A local universal relation is an equation between the stress components and the position vector components which holds for any material in an assigned constitutive family. Although universal relations may be of great help to modellers in characterizing the material behaviour, they are often ignored. In this paper we briefly discuss the valuable insights that universal relations may offer in solid mechanics and determine novel universal relations associated with shearing motions in nonlinearly elastic and nonlinearly viscoelastic materials of differential type.
format	article
author	Giuseppe Saccomandi Luigi Vergori
author_facet	Giuseppe Saccomandi Luigi Vergori
author_sort	Giuseppe Saccomandi
title	On universal relations in continuum mechanics: A discussion centred on shearing motions
title_short	On universal relations in continuum mechanics: A discussion centred on shearing motions
title_full	On universal relations in continuum mechanics: A discussion centred on shearing motions
title_fullStr	On universal relations in continuum mechanics: A discussion centred on shearing motions
title_full_unstemmed	On universal relations in continuum mechanics: A discussion centred on shearing motions
title_sort	on universal relations in continuum mechanics: a discussion centred on shearing motions
publisher	Elsevier
publishDate	2020
url	https://doaj.org/article/a4f10bc360c341e782d0f18e7b97b95d
work_keys_str_mv	AT giuseppesaccomandi onuniversalrelationsincontinuummechanicsadiscussioncentredonshearingmotions AT luigivergori onuniversalrelationsincontinuummechanicsadiscussioncentredonshearingmotions
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On universal relations in continuum mechanics: A discussion centred on shearing motions

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