Structural Engineering and Mechanics

Volume 12, Number 5, 2001, pages 475-490

DOI: 10.12989/sem.2001.12.5.475

Remeshing techniques for r-adaptive and combined h/r-adaptive analysis with application to 2D/3D crack propagation

H. Askes , L.J. Sluys , B.B.C. de Jong (Netherlands)

Abstract

Remeshing strategies are formulated for r-adaptive and h/r-adaptive analysis of crack propaga-tion.The relocation of the nodes, which typifies r-adaptivity, is a very cheap method to optimise a givendiscretisation since the element connectivity remains unaltered. However, the applicability is limited. Tofurther improve the finite element mesh, a combined h/r-adaptive method is proposed in which h-adaptivityis applied whenever r-adaptivity is not capable of further improving the discretisation. Two andthree-dimensional examples are presented. It is shown that the r-adaptive approach can optimise adiscretisation at minimal computational costs. Further, the combined h/r-adaptive approach improves theperformance of a fully r-adaptive technique while the number of h-remeshings is reduced compared to afully h-adaptive technique.

Key Words

adaptivity; remeshing; ALE; crack propagation; failure analysis; localisation.

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