Aplicação dos Métodos de Elementos de Contorno e Reciprocidade Dual em problemas de Plasticidade 2D Orientada a Objeto

AUTOR(ES)

Gilberto Gomes

DATA DE PUBLICAÇÃO

2006

RESUMO

This thesis is a continuation of previous studies in inelasticity in which the analysis of viscoelastic problems is done using the Boundary Element Method (BEM) with the Dual Reciprocity Method (DRM). Here, BEM is applied to the analysis of plane plasticity problems considering perfectly plastic materials and, taking advantage of the modular nature of the codes, both BEM and DRM are inserted in a context of Object Oriented Programming (OOP). In order to obtain a formulation valid for a general material, which can be viscoelastic, plastic or viscoplastic, here, the boundary integral equation for 2D plasticity is initially studied, considering specifically perfect elastoplastic problems and using only the yield criteria of von Mises. Since this equation includes a domain integral due to elastic forces the Dual Reciprocity Method is employed to take this integral to the boundary, adopting polyharmonic spline type approximation functions with polynomial augmentation terms from the Pascal Triangle. Due to its modular nature, the boundary element method may be inserted in the context of object oriented programming allowing each concept involved in the modeling process, (for example, nodes, elements etc) as objects with their own attributes (data) and behaviors (methods). In this respect this thesis can be summarized as the development of a computer code capable of carrying out bidimensional analysis of elastic and plastic problems using the Boundary Element Method and the Dual Reciprocity Method for treating the inhomogeneous terms. The code is written in the C++ language.

ASSUNTO(S)

estruturas reciprocidade dual elementos de contorno poo plasticidade

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