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

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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.

Original language	English
Pages (from-to)	663-669
Number of pages	7
Journal	Comptes Rendus - Mecanique
Volume	338
Issue number	12
DOIs	https://doi.org/10.1016/j.crme.2010.09.001
Publication status	Published - 1 Jan 2010
Externally published	Yes

Keywords

Damage
Finite elasticity
Quasi-crack
Rupture

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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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N2 - 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.

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.

KW - Damage

KW - Finite elasticity

KW - Quasi-crack

KW - Rupture

U2 - 10.1016/j.crme.2010.09.001

DO - 10.1016/j.crme.2010.09.001

M3 - Article

AN - SCOPUS:78650075937

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JO - Comptes Rendus - Mecanique

JF - Comptes Rendus - Mecanique

IS - 12

ER -

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

Abstract

Keywords

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