Abstract

The paper consists of both theory and application. The existence and uniqueness theorems for the solution of boundary integral equations for linearized elastostatics are proposed, and computational models for direct formulation of boundary integral equations are presented. By using the existence and uniqueness theorems of this paper, the existence and uniqueness of the solution of the boundary integral equations are determined, showing that the method used here is successful. The computational models presented are suited to the solution of mixed boundary value problems and linear elasticity problems in geomechanics.

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