Revisit of two classical elasticity problems by using the Trefftz method

Abstract

In this paper, the two classical elasticity cases, Lamé problem and stress concentration factor (SCF), are revisited by using the Trefftz method instead of the inverse or semi-inverse approach in the previous study. First, the Timoshenko and Goodier's approach is reviewed. Based on the superposition principle and the concept of taking free body, the problem of stress concentration factor as well as Lamé problem can be solved without any difficulty in a direct way using the Trefftz method.