SOME THREE-DIMENSIONAL INCLUSION PROBLEMS IN ELASTICITY
LEHIGH UNIV BETHLEHEM PA DEPT OF APPLIED MECHANICS
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The theory of potential functions is applied to solve a number of three-dimensional problems involving sheet-like inclusions embedded in elastic solids. Two types of inclusions are considered namely, that of a rigid elliptical disk and a rigid sheet containing an elliptical hole. By varying the ellipticity of the disk and hole, certain information on the general character of the stresses around a plane inclusion of arbitrary shape may be obtained. More precisely, if reference is made to a suitable coordinate system, the functional forms of the stresses in the close neighborhood of the inclusion border can be expressed independently of uncertainties of both the inclusion geometry and of the applied stresses or displacements. In general, the intensification of the local stresses can be described by three parameters which may be used to establish criteria for the failure of the solid containing the inclusions.
- Solid State Physics