Boundary Element Formulation Applied
To Multi-fractured Bodies
Author(s)
E. D. Leonel, O. B. R. Lovón & W. S. Venturini
Abstract
In this work, the performance of the boundary element method applied to
multi-fractured bodies is analysed. The algebraic equations are written either
using only displacement equations for collocations defined along the crack
surfaces keeping a very small distance between them to avoid singularities or
using displacement and traction representations. Adaptive schemes are employed
to adjust the crack advance direction and to refine the elements near the tip. A
remeshing procedure is also adopted to appropriately reduce the boundary
approximation influence for elements distant enough from the crack tip.
Examples of multi-fractured bodies that are loaded to the rupture are shown to
illustrate the applicability of the proposed scheme.
Keywords: boundary elements, linear fracture mechanics.
1 Introduction
Analysis of fractured solids is a very common problem in engineering. The BEM
has demonstrated to be the most accurate numerical technique for the analysis of
this kind of problem. In fracture mechanics analysis the dimensionality reduction
of BEM is clear, as only boundary discretization will be required. Moreover,
internal points are needed only to approximate the crack line, but without
requiring remeshing.
Cruse [1] was the first to use boundary integral methods to study cracks. After
35 years of use that attempt the method has been improved and has become the
most efficient numerical technique to model linear and non-linear cracks. During
these four decades many formulations have been tested with accurate results, as
can be seen in a state of art published by Aliabadi [2]. Among these works we
have to point out some interesting works that are often used to extract stress
Keywords
boundary elements, linear fracture mechanics.
Related Book
Other papers in this volume
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