AN EFFECTIVE BOUNDARY METHOD FOR THE ANALYSIS OF ELASTOPLASTIC PROBLEMS

摘要/Abstract

摘要： In this paper, a series of effective formulae of the boundary element method is presented. In these formulae, by using a new variable, two kernels are only of the weaker singularity of Lnr (where r is the distance between a source point and a field point). Hence, the singularities in the conventional displacement formulation and stress formulation at internal points are reduced respectively so that the "boundary-layer" effect which strongly degenerates the accuracy of stress calculation by using original formulae is eliminated. Also the direct evaluation of coefficients C (boundary tensor), which are difficult to calculate, is avoided. This method is used in elastoplastic analysis. The results of the numerical investigation demonstrate the potential advantages of this method.

关键词: boundary element method, elastoplastic problem, numerical solution

Abstract: In this paper, a series of effective formulae of the boundary element method is presented. In these formulae, by using a new variable, two kernels are only of the weaker singularity of Lnr (where r is the distance between a source point and a field point). Hence, the singularities in the conventional displacement formulation and stress formulation at internal points are reduced respectively so that the "boundary-layer" effect which strongly degenerates the accuracy of stress calculation by using original formulae is eliminated. Also the direct evaluation of coefficients C (boundary tensor), which are difficult to calculate, is avoided. This method is used in elastoplastic analysis. The results of the numerical investigation demonstrate the potential advantages of this method.

Key words: boundary element method, elastoplastic problem, numerical solution

胡宁. AN EFFECTIVE BOUNDARY METHOD FOR THE ANALYSIS OF ELASTOPLASTIC PROBLEMS[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(8): 737-744.

Hu Ning . AN EFFECTIVE BOUNDARY METHOD FOR THE ANALYSIS OF ELASTOPLASTIC PROBLEMS[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(8): 737-744.

参考文献

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