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 ^1,²

¹ LMS, CNRS UMR7649, École polytechnique, 91128 Palaiseau cedex, France
² LaMSID, EdF–CEA R&D, CNRS UMR2832, 92141 Clamart cedex, France

Comptes Rendus. Mécanique, Volume 338 (2010) no. 12, pp. 663-669.

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.

Reçu le : 2010-05-27
Accepté le : 2010-09-06
Publié le : 2010-09-20

DOI : 10.1016/j.crme.2010.09.001

Mots clés : Rupture, Damage, Finite elasticity, Quasi-crack

Affiliations des auteurs :

Claude Stolz ^{1, 2}

¹ LMS, CNRS UMR7649, École polytechnique, 91128 Palaiseau cedex, France
² LaMSID, EdF–CEA R&D, CNRS UMR2832, 92141 Clamart cedex, France

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     author = {Claude Stolz},
     title = {Closed form solution for the finite anti-plane shear field for a class of hyperelastic incompressible brittle solids},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {663--669},
     publisher = {Elsevier},
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     number = {12},
     year = {2010},
     doi = {10.1016/j.crme.2010.09.001},
     language = {en},
}

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Claude Stolz. Closed form solution for the finite anti-plane shear field for a class of hyperelastic incompressible brittle solids. Comptes Rendus. Mécanique, Volume 338 (2010) no. 12, pp. 663-669. doi : 10.1016/j.crme.2010.09.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.09.001/

Bibliographie
Cité par

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