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Singular superposition technique to simulate cavities in elastostatic problems using boundary element method

Abstract:

An efficient singular superposition technique in elastostatics boundary element methods for cavity detection using a point load is presented in this paper. The superposition of several concentrated loads to simulate the presence of cavities leads to a significant reduction of the computational time in the elastostatics field solution with the boundary element method since no boundary re-discretization is necessary throughout the optimization process. Results of cavity presence problems simulated using numerical experiments validate the approach in regular geometrical configurations with single cavities.