Abstract
An integral equation method is given to solve the classical torsion problem in elasticity theory for a multiply connected region. As is well known, the solution depends upon finding the solution of the two-dimensional Laplace's equation which takes the value 1 2 (x 2+y 2)+ c i on the boundary, where x,y are the usual Cartesian coordinates, and c i are unknown constants. The usual approaches are extremely cumbersome. In this paper a new approach is suggested to solve such problems. This method is simple and straightforward and requires the solution of simultaneous linear equations. An example is given which substantiates the theory. The method is very general and can take into account the discontinuity in the displacement component w. The result can therefore be applied to dislocation theory.
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