Abstract
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 reduc- tion 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 non- linear 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 itera- tions 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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