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Analytical Solutions of Fundamental Problems of Plane Elasticity Theory
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| Organization: | Ecole Nationale Supérieure d'Ingénieurs de Metz-Ile du Saulcy, France |
| Organization: | Ecole Nationale Supérieure d'Ingénieurs de Metz-Ile du Saulcy, France |
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2003 International Mathematica Symposium
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Imperial College, London
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The method of Kolossov and Muskhelishvili, based on complex representation theory, provides a general solution of fundamental problems of plane elasticity theory. Up to now, its effective application was restricted by computation difficulties. In this study, we use Mathematica to find analytical solutions of some fundamental problems of the infinite plate with elliptic holes, and subjected to different boundary conditions. The results obtained enable us to assess the validity of asymptotic solutions, widely used in fracture mechanics.
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Kolossov and Muskhelishvili, Plane elasticity problems, Conformal mapping
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