The hybrid-Trefftz formulation with selective enrichment: application to two-dimensional problems in elasticity / Formulação híbrida-Trefftz com enriquecimento seletivo: aplicação a problemas bidimensionais da elasticidade

AUTOR(ES)

Charlton Okama de Souza

DATA DE PUBLICAÇÃO

2008

RESUMO

This work is inserted in the context of unconventional formulations in the finite elements method. Particularly, some aspects of the generalized finite elements method (GFEM) and the classic p-refinement are introduced in the well known hybrid-Trefftz stress formulation for the two dimensional elasticity. The presented formulation approximates two independent fields: the one of stresses in the elements domain and the one of displacements in the boundaries of the elements. Based on the enrichment structure centered in clouds, proposed by the GFEM, some regions, formed by a group of elements and boundaries of elements where the approximation space is adequately enriched by the p-refinement, can be opportunely selected. In this context, self-equilibrated stress fields, derived from the solution of the Navier equation, are used to compose the approximation in the elements domain, whereas the displacements field in the borders of the elements is built from specific approximation bases, that is, the initial base formed by linear shape functions, or, bases enriched with hierarchical polynomials, nonhierarchical ones and trigonometric functions. Also, although preliminarily, a study of the multiple-cracked panels is done using the Splitting Method with a hybrid-Trefftz formulation and a selective enrichment. The numeric analyses done revealed, in general, a high performance formulation characterized by a great capacity of approximation the stress fields and displacements, high numeric robustness and reduced computer expenditure.

ASSUNTO(S)

hybrid-trefftz stress formulation método dos elementos finitos generalizados splitting method método da partição formulação híbrida-trefftz de tensão finite elements method generalized finite elements method método dos elementos finitos

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