Application of multi-region Trefftz method to elasticity

This paper presents an application of a direct Trefftz method with domain d ecomposition to the two-dimensional elasticity problem. Trefftz functions a re substituted into Betti's reciprocity theorem to derive the boundary inte gral equations for each subdomain. The values of displacements and traction s on subdomain interfaces are tailored by continuity and equilibrium condit ions, respectively. Since Trefftz functions are regular, much less requirem ents are put on numerical integration than in the traditional boundary inte gral method. Then, the method can be utilized to analyse also very narrow d omains. Linear elements are used for modelling of the boundary geometry and approximation of boundary quantities. Numerical results for a rectangular plate with varying aspect ratio and cantilever beam are presented.