Author(s)

A.J. DiNicola

Abstract

Fundamental tensors for the boundary element method with general three-dimensional elastic anisotropy A.J. DiNicola UNITED TECHNOLOGIES - Sikorsky Aircraft, ^rof/ord, CT, ABSTRACT In order to effect numerical solutions to problems of elasticity, the Boundary Element Method (BEM) requires knowledge of certain analytic fundamental solutions which reflect the material behavior. In this paper, the correct and complete set of fundamental tensors required by the BEM for general material anisotropy in three dimensions are derived. Previous investigators have presented formulations which are herein shown to be incorrect. The tensors are first benchmarked against the existing closed-form isotropic material solutions and are then shown to converge for a wide range of material anisotropy up to and including the case of 21 independent elastic constants. Some simple boundary element models are used to confirm the accuracy of the fundamental tensors. INTRODUCTION

Keywords