Hu Ning. An Effective Boundary Method for the Analysis of Elastoplastic Problems[J]. Applied Mathematics and Mechanics, 1992, 13(8): 711-718.
Citation: Hu Ning. An Effective Boundary Method for the Analysis of Elastoplastic Problems[J]. Applied Mathematics and Mechanics, 1992, 13(8): 711-718.

An Effective Boundary Method for the Analysis of Elastoplastic Problems

  • Received Date: 1991-05-20
  • Publish Date: 1992-08-15
  • 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.
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