Mechanics of extended continua: Modeling and simulation of elastic microstretch materials
type: Item
instance of: scholarly article
title: Mechanics of extended continua: Modeling and simulation of elastic microstretch materials
zbMATH Open document ID: 1181.74006
author: Nina Kirchner
author: Paul Steinmann
published in: Computational Mechanics
publication date: 2009-05-08T00:00:00Z
review text: The authors carefully re-derive Eringen's equations for so-called microstretch materials, providing thus a natural setting for numerical modelling by means of the finite element method. An appropriate Helmholtz free energy is postulated, although no precise values of material coefficients are known. Numerical results are reported for simple two-dimensional test specimens subjected to plane strain and uniaxial tension. The models presented are compatible with the Cosserat continuum formulation (pure internal rotation) when stretch-related effects are discarded. This reduction lends itself to an interpretation of small stretching as a penalty in the formulation of the Cosserat case.
Mathematics Subject Classification ID: 74A60
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74A35
zbMATH DE Number: 5552379
zbMATH Keywords: variational approach
zbMATH Keywords: finite element method
zbMATH Keywords: Helmholtz free energy
zbMATH Keywords: Cosserat continuum
reviewed by: Gérard A. Maugin
MaRDI profile type: Publication
full work available at URL: s00466-006-0131-0
OpenAlex ID: W1974021776
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Wikidata QID: Q125367641
DOI: 10.1007/S00466-006-0131-0
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description: scientific article; zbMATH DE number 5552379