Flat Annular Crack in an Elastic Sphere Bonded to an Infinite Material with Different Elastic Constants

Analysis of crack singularities in an aging elastic material

We consider a quasistatic system involving a Volterra kernel modelling an hereditarilyelastic aging body. We are concerned with the behavior of displacement and stress fields in the neighborhood of cracks. In this paper, we investigate the case of a straight crack in a two-dimensional domain with a possibly anisotropic material law. We study the asymptotics of the time dependent solution near t...

A Crack in an Anisotropic Elastic Slab*

Wrapping an adhesive sphere with an elastic sheet.

We study the adhesion of an elastic sheet on a rigid spherical substrate. Gauss's Theorema Egregium shows that this operation necessarily generates metric distortions (i.e., stretching) as well as bending. As a result, a large variety of contact patterns ranging from simple disks to complex branched shapes are observed as a function of both geometrical and material properties. We describe these...

A semi-infinite interfacial crack between two bonded dissimilar elastic strips

This paper is concerned with a semi-infinite interfacial crack between two bonded dissimilar elastic strips with equal thickness. Solutions for the complex stress intensity factor (SIF) and energy release rate (ERR) are obtained in closed form under in-plane deformations. During the procedure, the mixed boundary-value problem is reduced by means of the conformal mapping technique to the standar...

On elastic fields of perfectly bonded and sliding circular inhomogeneities in an infinite matrix

The solutions to classical problems of perfectly bonded and sliding circular inhomogeneities in a remotely loaded infinite matrix are constructed by using an appealing choice of dimensionless material parameters that represent the in-plane average normal stress and the maximum shear stress at the center of the inhomogeneity, scaled by the corresponding measures of remote stress. The ovalization...