2007•Journal of Tsinghua University(Science and Technology)Requires access
Fast multipole BEM for the analysis of pressure vessel opening structures
Shifei Shen
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Abstract
High stress concentrations occur around the openings of pressure vessels. The stress fields of such structure around the opening were predicted using a three-dimensional, higher-order fast multipole boundary element method. The three-dimensional boundary element method for elastic materials was extended to develop a fast multipole expansion formulation of the fundamental solutions for quadratic elements. The multipole expansion algorithm greatly reduces the memory requirements without losing accuracy. The entire pressure vessel structure with multiple openings can be analyzed by the multipole boundary element method, with the result agreeing well with those of large higher-order finite element models. The results show that the higher-order, fast multipole boundary element method can be applied to large problems with high numerical accuracy for engineering designs.