Closed form solution for the finite anti-plane shear field for a class of hyperelastic incompressible brittle solids

Claude Stolz

doi:10.1016/j.crme.2010.09.001

Closed form solution for the finite anti-plane shear field for a class of hyperelastic incompressible brittle solids

Claude Stolz

Department of Mechanics École Polytechnique
Lamsid/EDF/R and D

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

3 Citations (Scopus)

Résumé

The equilibrium solution of a damaged zone in finite elasticity is given for a class of hyperelastic materials which does not suffer tension when a critical stretching value is reached. The study is made for a crack in anti-plane shear loading condition. The prescribed loading is that of linearized elastostatics conditions at infinity. The geometry of the damaged zone is found and the stationary propagation is discussed when the inertia terms can be neglected.

langue originale	Anglais
Pages (de - à)	663-669
Nombre de pages	7
journal	Comptes Rendus - Mecanique
Volume	338
Numéro de publication	12
Les DOIs	https://doi.org/10.1016/j.crme.2010.09.001
état	Publié - 1 janv. 2010
Modification externe	Oui

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10.1016/j.crme.2010.09.001

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abstract = "The equilibrium solution of a damaged zone in finite elasticity is given for a class of hyperelastic materials which does not suffer tension when a critical stretching value is reached. The study is made for a crack in anti-plane shear loading condition. The prescribed loading is that of linearized elastostatics conditions at infinity. The geometry of the damaged zone is found and the stationary propagation is discussed when the inertia terms can be neglected.",

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AB - The equilibrium solution of a damaged zone in finite elasticity is given for a class of hyperelastic materials which does not suffer tension when a critical stretching value is reached. The study is made for a crack in anti-plane shear loading condition. The prescribed loading is that of linearized elastostatics conditions at infinity. The geometry of the damaged zone is found and the stationary propagation is discussed when the inertia terms can be neglected.

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KW - Finite elasticity

KW - Quasi-crack

KW - Rupture

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DO - 10.1016/j.crme.2010.09.001

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Closed form solution for the finite anti-plane shear field for a class of hyperelastic incompressible brittle solids

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