TY  - EJOU
AU  - Sladek, J.  
AU  - Sladek, V.  
AU  - Kompis, V.  
AU  - Keer, R. Van  

TI  - Application of Multi-Region Trefftz Method to Elasticity
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2000
VL  - 1
IS  - 4
SN  - 1526-1506

AB  - This paper presents an application of a direct Trefftz method with domain decomposition to the two-dimensional elasticity problem. Trefftz functions are substituted into Betti's reciprocity theorem to derive the boundary integral equations for each subdomain. The values of displacements and tractions on subdomain interfaces are tailored by continuity and equilibrium conditions, respectively. Since Trefftz functions are regular, much less requirements are put on numerical integration than in the traditional boundary integral method. Then, the method can be utilized to analyse also very narrow domains. 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.
KW  - plynomial Trefftz functions
KW  -  direct formulation
KW  -  linear approximation
KW  -  boundary integral equation

DO  - 10.3970/cmes.2000.001.453