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Title

Analytical Solutions of Fundamental Problems of Plane Elasticity Theory
Authors

N. Bonfoh
Organization: Ecole Nationale Supérieure d'Ingénieurs de Metz-Ile du Saulcy, France
A. Carmasol
Organization: Ecole Nationale Supérieure d'Ingénieurs de Metz-Ile du Saulcy, France
Conference

2003 International Mathematica Symposium
Conference location

Imperial College, London
Description

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.
Subject

*Mathematics > Geometry > Surfaces
Keywords

Kolossov and Muskhelishvili, Plane elasticity problems, Conformal mapping
Related items

*Challenging the Boundaries of Symbolic Computation: Proceedings of the 5th International Mathematica Symposium   [in Books]