Elastoplastic analysis using quasi‐higher order symmetric Galerkin boundary element method

Abstract

In this paper, an interpolation method called the quasi‐higher order element method (QHOEM) is proposed for solving elastoplastic problems using symmetric Galerkin boundary element method (SGBEM). At the initial stage, it uses higher order elements to interpolate the coordinates and the field variables. Then, for the numerical integration involved, it further uses interpolation to decompose the higher order elements into lower order elements so that the existing analytical integration formulas can be applied. By adopting this procedure, the proposed method yields good adaptability and reduces the computational cost. Its accuracy and efficiency are demonstrated by analyzing three practical examples.

Citation

Lie, S.T., Xu, K. and Liu, Q. (1999), "Elastoplastic analysis using quasi‐higher order symmetric Galerkin boundary element method", Engineering Computations, Vol. 16 No. 8, pp. 876-891. https://doi.org/10.1108/02644409910304158