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Energy release caused by the kinking of a crack in a plane anisotropic solid

โœ Scribed by I.I. Argatov; S.A. Nazarov

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
978 KB
Volume
66
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

The problem of the deformation of a homogeneous, elastic, anisotropic body with a rectilinear edge cut having a small kink r, of fairly arbitrary shape is analysed. The asymptotic solution of this problem in the case of small values of the dimensionless parameter 7, characterizing the kink size is constructed using a modified method of matched asymptotic expansions. The amount of elastic energy released is expressed in terms of a set of stress intensity factors (SIFs) at the tip of the unperturbed crack, the integral characteristics of the kink r, (the components of the enlarged energy release matrix) and the integral characteristics of the initial solid (the SIFs of the weighting functions). The results are compared with existing results in the case of an isotropic solid.

๐Ÿ“œ SIMILAR VOLUMES

Finite element computation of the strain
Finite element computation of the strain energy release rate for kinking of a crack
โœ S. K. Maiti ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 727 KB

The approximate energy release rate for a crack which extends, or "kinks", away from its original direction has been computed by finite element analysis using three different methods: stiffness derivative procedure, J integral method and crack closure integral procedure. A case study is presented to

On the crack-tip fields of a dynamically
On the crack-tip fields of a dynamically propagating crack in an anisotropic elastic solid
โœ Kuang-Chong Wu ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 422 KB

General expressions of the crack-tip fields for a dynamically extending crack through an anisotropic elastic material are given. Based on the crack-tip fields, the associated dynamic energy release rate is also derived. Explicit results are given for transversely isotropic materials.