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• W1013748916 abstract "In this thesis, two types of problems involving a homogeneous isotropic linear elastic medium are studied. The first problem is that of an elastic body, which could be an infinite solid or a semi-infinite solid or a layer, containing two or more pardel penny-shaped cracks whose upper and lower surfaces are loaded by equal and opposite arbitrary tractions. The second problem is concerned with two or more circular punches, whose faces are of arbitrary shape, indenting the surface of an elastic layer which rests on a rigid foundation. Both normal indentation and tangential indentation are examined. The method used in this thesis is based on a formulation, which is very similar to that given by Muki[24], for general three-dimensional asymmetric elasticity problems and the superposition principle of linear elasticity. For example, the solution to the problem of an elastic layer containing two penny-shaped cracks under arbitrary loadings can be considered as a superposition of the solutions to two layer problems, each containing one penny-shaped crack. Furthermore, the solution to the problem of a layer weakened by one penny-shaped crack can be decomposed into the sum of solutions to two basic problems, namely problem of an infinite solid containing one crack and problem of a layer without any crack. With the aid of the solutions to the basic problems and the addition formula for Bessel functions, we can superpose solutions in different cylindrical co-ordinates and then reduce the original problem to a system of Redholm integral equations of the second kind, which can be solved by iteration for some special cases. All the solutions given in this thesis can be extended to the case where the elastic solid is transversely isotropic. More important, the method used in this thesis applies to any other problem if the problem can be decomposed into several basic problems and analytic solutions to the basic problems in terms of some potential functions are available." @default.
• W1013748916 created "2016-06-24" @default.
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• W1013748916 date "1994-01-01" @default.
• W1013748916 modified "2023-09-27" @default.
• W1013748916 title "Some elastic multi-crack and multi-punch problems" @default.
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