Abstract
A new boundary integral formulation for linear elasticity problems is presented in this paper. Using both the new equation and Rizzo's boundary integral equation (1967, Quart. Appl. Math. 25, 83–95), one obtains a set of boundary integral equations with complete stress tensor and rotation tensor as the boundary values. This form of BEM has an advantage in that the boundary stresses can be calculated directly from the numerical solution. It avoids the use of the hypersingular kernel or tangential derivatives of displacement to find stresses on the boundary. The present formulation for planar problems uses two kernels, one of which is logarithmic singular and the other is 1/r singular. The effectiveness of the approach is discussed through some test examples.
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