Computation of mixed-mode stress intensity factors for curved cracks in anisotropic elastic solids

J. H. Chang; D. J. Wu

doi:10.1016/j.engfracmech.2005.07.011

Computation of mixed-mode stress intensity factors for curved cracks in anisotropic elastic solids

J. H. Chang, D. J. Wu

Department of Civil Engineering

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

A numerical procedure, based on the concept of the J_k-integrals, is presented for computation of the mixed-mode stress intensity factors for curved cracks. Since no auxiliary solutions are required in practice, this approach can be applicable for problems containing cracks of arbitrary curved shape in generally anisotropic elastic solids. Nevertheless, while these integrals are demonstrated to be path-independent in a modified sense, it is noted that the near-tip region is always inevitably included. Attention is therefore addressed to modeling of the singular behavior in the vicinity of the crack tip in such manner that the calculation is based on a combination of full-field finite element analysis and near-tip asymptotic results. With this, no particular singular elements are required in the calculation.

Original language	English
Pages (from-to)	1360-1372
Number of pages	13
Journal	Engineering Fracture Mechanics
Volume	74
Issue number	8
DOIs	https://doi.org/10.1016/j.engfracmech.2005.07.011
State	Published - May 2007

Keywords

Anisotropic solids
Curved crack
J-integrals
Mixed-mode SIF's
Modified path-independence
Singular behavior

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10.1016/j.engfracmech.2005.07.011

Cite this

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title = "Computation of mixed-mode stress intensity factors for curved cracks in anisotropic elastic solids",

abstract = "A numerical procedure, based on the concept of the Jk-integrals, is presented for computation of the mixed-mode stress intensity factors for curved cracks. Since no auxiliary solutions are required in practice, this approach can be applicable for problems containing cracks of arbitrary curved shape in generally anisotropic elastic solids. Nevertheless, while these integrals are demonstrated to be path-independent in a modified sense, it is noted that the near-tip region is always inevitably included. Attention is therefore addressed to modeling of the singular behavior in the vicinity of the crack tip in such manner that the calculation is based on a combination of full-field finite element analysis and near-tip asymptotic results. With this, no particular singular elements are required in the calculation.",

keywords = "Anisotropic solids, Curved crack, J-integrals, Mixed-mode SIF's, Modified path-independence, Singular behavior",

author = "Chang, {J. H.} and Wu, {D. J.}",

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T1 - Computation of mixed-mode stress intensity factors for curved cracks in anisotropic elastic solids

AU - Chang, J. H.

AU - Wu, D. J.

N1 - Funding Information: This work has been partially supported by National Science Council Grant No. NSC92-2211-E-008-044 to National Central University.

PY - 2007/5

Y1 - 2007/5

N2 - A numerical procedure, based on the concept of the Jk-integrals, is presented for computation of the mixed-mode stress intensity factors for curved cracks. Since no auxiliary solutions are required in practice, this approach can be applicable for problems containing cracks of arbitrary curved shape in generally anisotropic elastic solids. Nevertheless, while these integrals are demonstrated to be path-independent in a modified sense, it is noted that the near-tip region is always inevitably included. Attention is therefore addressed to modeling of the singular behavior in the vicinity of the crack tip in such manner that the calculation is based on a combination of full-field finite element analysis and near-tip asymptotic results. With this, no particular singular elements are required in the calculation.

AB - A numerical procedure, based on the concept of the Jk-integrals, is presented for computation of the mixed-mode stress intensity factors for curved cracks. Since no auxiliary solutions are required in practice, this approach can be applicable for problems containing cracks of arbitrary curved shape in generally anisotropic elastic solids. Nevertheless, while these integrals are demonstrated to be path-independent in a modified sense, it is noted that the near-tip region is always inevitably included. Attention is therefore addressed to modeling of the singular behavior in the vicinity of the crack tip in such manner that the calculation is based on a combination of full-field finite element analysis and near-tip asymptotic results. With this, no particular singular elements are required in the calculation.

KW - Anisotropic solids

KW - Curved crack

KW - J-integrals

KW - Mixed-mode SIF's

KW - Modified path-independence

KW - Singular behavior

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DO - 10.1016/j.engfracmech.2005.07.011

M3 - 期刊論文

AN - SCOPUS:33847027379

SN - 0013-7944

VL - 74

SP - 1360

EP - 1372

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

IS - 8

ER -

Computation of mixed-mode stress intensity factors for curved cracks in anisotropic elastic solids

Abstract

Keywords

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