Semi-analytical solution for mode I penny-shaped crack in a soft inhomogeneous layer

Penny{shaped Crack Bridged by Fibres

An axi{symmetric problem for a penny{shaped crack bridged by bres is considered. The study is reduced to the analysis of a hy-persingular integral equation with respect to the relative crack{face separation over a circular domain occupied by crack. The special case of a large crack subjected to Mode{I loading is examined. A matched asymptotic expansions technique is used in order to estimate th...

A penny-shaped cohesive crack model for material damage

A novel micromechanics based damage model is proposed to address failure mechanism of defected solids with randomly distributed penny-shaped cohesive micro-cracks (Barenblatt–Dugdale type). Energy release contribution to the material damage process is estimated in a representative volume element (RVE) under macro hydrostatic stress state. Macro-constitutive relations of RVE are derived via self...

Hypersingular Integral Equations for the Solution of Penny-shaped Interface Crack Problems

Based on the theory of elasticity, previous analytical solutions concerning a penny-shaped interface crack employ the derivative of the crack surface opening displacements as the primary unknowns, thus leading to singular integral equations with Cauchy-type singularity. The solutions to the resulting integral equations permit only the determination of stress intensity factors and energy release...

Experimental Study of Seismic Scattering by a Penny-shaped Crack

The Penny-shaped Crack in Shear and Related Contact Problems

Abstract-A solution to the equations of elastic equilibrium is developed in terms of two harmonic functions, such that on a certain plane, normal stresses are identically zero, whilst tangential stresses and displacements are expressible as simple derivatives. The solution is used to solve the problem of the penny-shaped crack subjected to an arbitrary tangential traction and the corresponding ...