The numerical implementation of the Trefftz finite element mesh formulation applied to linear elastostatic problems is presented. Semi-infinite, non-convex or multiply connected elements can be used. Besides polynomial approximations, particular solutions capable of modeling relevant local effects, namely the singular stress patterns due to cracks or point loads, can be incorporated. Sparse matrix methods are used to store, manipulate and solve the symmetric governing system, and numerical and semianalytical methods are adopted in the computation of the boundary integral expressions for the intervening structural operators. The characteristics of the governing system, in terms of sparsity and conditioning, its sensitivity to mesh distorsion and p- and h-refinements are illustrated with benchmark tests. These are also used to assess the performance of the formulation in the estimation of stresses and displacements.

purchase the full-text of this paper (price £20)

go to the previous paper
go to the next paper
return to the table of contents
return to the book description
purchase this book (price £85 +P&P)