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Adaptive simulation of fracture processes based on spatial enumeration techniques

An interactive graphics computational system with self-adaptive, integrated, two-dimensional finite element analysis capabilities is described in this work. This system is able to handle both standard structural and fracture mechanics problems. The self-adaptive strategy is based on recursive spatia...

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Bibliographic Details
Published in:International journal of rock mechanics and mining sciences (Oxford, England : 1997) England : 1997), 1997-04, Vol.34 (3-4), p.188.e1-188.e14
Main Authors: de Araújo, T.D.P., Cavalcante Neto, J.B., de Carvalho, M.T.M., Bittencourt, T.N., Martha, L.F.
Format: Article
Language:English
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Summary:An interactive graphics computational system with self-adaptive, integrated, two-dimensional finite element analysis capabilities is described in this work. This system is able to handle both standard structural and fracture mechanics problems. The self-adaptive strategy is based on recursive spatial enumeration techniques: a binary tree partition for the boundary and the crack-line curves definition, and a quadtree partition for domain mesh generation. The ‘a priori’ refinement of the curves has the advantage of generating good transition meshes at the boundary regions. The system integrates different tools: a geometric modeler to create the model geometry, a pre-processor for mesh generation and attribute assignment, a numerical analysis module to evaluate the finite element response, and a post-processor for result visualization. The system is capable of deciding where to refine an initial mesh, of redoing the analysis, and of repeating this procedure until a pre-defined convergence criterion is achieved. Cracks can be introduced arbitrarily by the user at any position in the model. The system regenerates the meshes automatically taking into account the new created crack surfaces. For linear elastic analysis, quarter-point elements are inserted around the crack tips. The self-adaptive procedure is also considered in the crack propagation process. This procedure takes into account the arbitrarily generated crack geometry and the finite element error estimation analysis.
ISSN:1365-1609
1873-4545
DOI:10.1016/S1365-1609(97)00192-5