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COHESIVE CRACK PROPAGATION ANALYSIS USING A NON-LINEAR BOUNDARY ELEMENT FORMULATION

Oliveira, H. L.; Leonel, E.D.;

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This paper addresses to analysis of crack growth in quasi-brittle materials using the boundary element method (BEM) and cohesive models. BEM has been widely used to solve many complex engineering problems, especially those where its mesh dimension reduction includes advantages on the modelling. The non-linear formulations developed are based on the dual BEM, in which singular and hyper-singular integral equations are adopted. The first formulation uses the concept of constant operator, in which all corrections on the nonlinear system of equations are performed only by applying appropriate tractions along the crack surfaces. The second proposed BEM formulation is an implicit technique based on the use of a tangent operator. This formulation is accurate, stable and always requires less iterations to reach the equilibrium within a given load increment in comparison with the classical approach. Examples of problems of crack growth are shown to illustrate the performance of these two formulations.

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Palavras-chave: Cohesive crack growth, Non-linear BEM formulation, Tangent operator,

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DOI: 10.5151/meceng-wccm2012-18399

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Como citar:

Oliveira, H. L.; Leonel, E.D.; "COHESIVE CRACK PROPAGATION ANALYSIS USING A NON-LINEAR BOUNDARY ELEMENT FORMULATION", p. 1363-1381 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-18399

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