Development of p-Version Adaptive Boundary Element Analysis System

Abstract

A boundary element analysis system using p-version, which is an adaptive mesh refinement scheme, was developed. Generally, elements in the p-version finite element method(FEM) are formulated using the interpolate function based on the hierarchical polynomial, and the amplitude of high-order function is chosen as the unknown value. In this study, a high-order boundary element that possesses unknown displacements of the collocation point was developed. This element makes it possible to apply the p-version even to contact problems that there are various contact conditions within the element. An effective and efficient error evaluation method suited to the p-version based on the stress mode amplitude, in which the stress distribution is converted into the stress mode amplitude using the hierarchical interpolate function, is proposed. The system was applied to both basic and practical examples, and its application to actual equipment demonstrated its usefulness.