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Article Dans Une Revue Comptes Rendus Mécanique Année : 2010

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

Résumé

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

Dates et versions

hal-00489861 , version 1 (07-06-2010)

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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, 2010, 338, pp.663-669. ⟨10.1016/j.crme.2010.09.001⟩. ⟨hal-00489861⟩
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