INTERFACE CRACK LOADED IN TENSION: INTRODUCING AN INTERNAL SHEAR STRESS PROMOTED BY THE POISSON S EFFECT

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This study takes into account the existence of Poisson s effect when an interface crack of finite length 2a, in the Ox_1 x_3 plane, is loaded in tension σ_22^a along the x_2 direction of a Cartesian coordinate system x_1 . The resultant internal shear stress τ_12 ^a is identified, estimated in the plane of the interface, and introduced in the conditions for the propagation of the crack. In the framework of linear elasticity, τ_12 ^a is assumed to be proportional to position along the interface. The crack is represented by a continuous distribution of two families of edge dislocations with infinitesimal Burgers vectors. The distribution functions D1 and D2 of the dislocations at equilibrium satisfy a system of two integral equations with Cauchy-type singular kernels.

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linear elasticity , poisson effect , dislocations , interface crack , singular integral equations , brittle fracture mechanics

Revue Ivoirienne des Sciences et Technologie

71

Revue Ivoirienne des Sciences et Technologie