Three-dimensional Problems of the Theory of Elasticity. By A. I. Lur’e.1964. (Interscience Publishers)

Asymmetric displacements of a rigid disc inclusion embedded in a transversely isotropic elastic medium of infinite extent

On the mechanics of a rigid disc inclusion embedded in a fluid saturated poroelastic medium

The present paper examines the axisymmetric problem related to the loading of a rigid circular anchor plate which is embedded in bonded contact with an isotropic elastic half-space. A Hankel transform development of the governing equations is used to reduce the associated mixed boundary value problem to a set of coupled Fredholm integral equations of the second kind. These equatons are solved in a numerical fashion to generate results of engineering interest. In particular, the results indicate the influence of the depth of embedment on the axial stiffness of the rigid anchor plate.

The axial loading of a rigid circular anchor plate embedded in an elastic half-space

This paper examines the problem of the axial displacement of a rigid circular disk-shaped inclusion which is embedded at the interface between two bonded dissimilar isotropic elastic solids. The analysis focusses on the determination of the axial stiffness of the embedded inclusion, which is evaluated by a numerical solution of two coupled Fredholm integral equations of the second-kind derived from the reduced mixed boundary-value problem for the interface. The results for the axial stiffness are also compared with certain 'bounds' which are developed by imposing constraints on the variation of either the traction or the displacements at the interface.

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An inclusion at a bi-material elastic interface

By distributing the concentrated singularities such as a Kelvin doublet along the axis of symmetry we describe the displacement field, in an elastic medium, for various modes of rotation and translation for a rigid prolate and oblate spheroid. The limiting cases of a sphere, a slender body and a thin circular disk are also discussed. All the solutions are presented in a closed form.

D. L. Sharma

Papers

Singularity methods for elastostatics