Asymptotic fields ahead a crack for a class of non linear materials under mode III

Claude Stolz (1, 2)

1 IMSIA - UMR 9219 - Institut des Sciences de la mécanique et Applications industrielles
2 GeM - Institut de Recherche en Génie Civil et Mécanique

The paper considers the mechanical fields near the tip of a crack deformed by an anti-plane shear at infinity for a class of non linear elastic materials. For brittle material rupture occurs when a maximal stretch is reached. Taking account of this critical value, the crack is replaced by a totally damaged zone of finite thickness named a quasicrack. Inside this domain, the stress is identically zero and the shape of the boundary between damaged and undamaged body is found analytically.

Mots clés: Crack; Non linear elasticity; Anti-plane shear; Brittle material

Domaines: Mécanique des solides [physics.class-ph]

Claude Stolz. Asymptotic fields ahead a crack for a class of non linear materials under mode III. Mechanics of Materials, 2015, 90, pp.102-110. ⟨10.1016/j.mechmat.2015.04.005⟩. ⟨hal-01154947⟩