Calculation of mixed-mode stress intensity factors for a crack normal to a bimaterial interface using contour integrals

J. H. Chang; D. J. Wu

doi:10.1016/S0013-7944(02)00202-3

Calculation of mixed-mode stress intensity factors for a crack normal to a bimaterial interface using contour integrals

J. H. Chang, D. J. Wu

Department of Civil Engineering

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

25 Scopus citations

Abstract

A pair of contour integrals J_kε are proposed in this paper. The integrals are shown to be path-independent in a modified sense and so they can be accurately evaluated without using any particular singular finite elements. Also, the relationship between J_kε and the generalized stress intensity factors (SIFs) is analytically derived and expressed as functions of the bimaterial mechanical constants. Once the J_kε-integrals are accurately computed, the generalized SIFs and, consequently, the asymptotic mixed-mode stress field can then be properly determined. Numerical results in this study show that the contribution from mode II stress component appears to be more dominant when the uncracked material is relatively stiffer, and vice versa.

Original language	English
Pages (from-to)	1675-1695
Number of pages	21
Journal	Engineering Fracture Mechanics
Volume	70
Issue number	13
DOIs	https://doi.org/10.1016/S0013-7944(02)00202-3
State	Published - Sep 2003

Keywords

Crack normal to bimaterial interface
Generalized SIFs
J-integrals
M-integral
Mixed-mode stresses
Modified path-independence

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10.1016/S0013-7944(02)00202-3

Cite this

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title = "Calculation of mixed-mode stress intensity factors for a crack normal to a bimaterial interface using contour integrals",

abstract = "A pair of contour integrals Jkε are proposed in this paper. The integrals are shown to be path-independent in a modified sense and so they can be accurately evaluated without using any particular singular finite elements. Also, the relationship between Jkε and the generalized stress intensity factors (SIFs) is analytically derived and expressed as functions of the bimaterial mechanical constants. Once the Jkε-integrals are accurately computed, the generalized SIFs and, consequently, the asymptotic mixed-mode stress field can then be properly determined. Numerical results in this study show that the contribution from mode II stress component appears to be more dominant when the uncracked material is relatively stiffer, and vice versa.",

keywords = "Crack normal to bimaterial interface, Generalized SIFs, J-integrals, M-integral, Mixed-mode stresses, Modified path-independence",

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

note = "Funding Information: This work has been partially supported by National Science Council Grant No. NSC89-2211-E-008-078 to National Central University. ",

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TY - JOUR

T1 - Calculation of mixed-mode stress intensity factors for a crack normal to a bimaterial interface using contour integrals

AU - Chang, J. H.

AU - Wu, D. J.

N1 - Funding Information: This work has been partially supported by National Science Council Grant No. NSC89-2211-E-008-078 to National Central University.

PY - 2003/9

Y1 - 2003/9

N2 - A pair of contour integrals Jkε are proposed in this paper. The integrals are shown to be path-independent in a modified sense and so they can be accurately evaluated without using any particular singular finite elements. Also, the relationship between Jkε and the generalized stress intensity factors (SIFs) is analytically derived and expressed as functions of the bimaterial mechanical constants. Once the Jkε-integrals are accurately computed, the generalized SIFs and, consequently, the asymptotic mixed-mode stress field can then be properly determined. Numerical results in this study show that the contribution from mode II stress component appears to be more dominant when the uncracked material is relatively stiffer, and vice versa.

AB - A pair of contour integrals Jkε are proposed in this paper. The integrals are shown to be path-independent in a modified sense and so they can be accurately evaluated without using any particular singular finite elements. Also, the relationship between Jkε and the generalized stress intensity factors (SIFs) is analytically derived and expressed as functions of the bimaterial mechanical constants. Once the Jkε-integrals are accurately computed, the generalized SIFs and, consequently, the asymptotic mixed-mode stress field can then be properly determined. Numerical results in this study show that the contribution from mode II stress component appears to be more dominant when the uncracked material is relatively stiffer, and vice versa.

KW - Crack normal to bimaterial interface

KW - Generalized SIFs

KW - J-integrals

KW - M-integral

KW - Mixed-mode stresses

KW - Modified path-independence

UR - http://www.scopus.com/inward/record.url?scp=0037849959&partnerID=8YFLogxK

U2 - 10.1016/S0013-7944(02)00202-3

DO - 10.1016/S0013-7944(02)00202-3

M3 - 期刊論文

AN - SCOPUS:0037849959

SN - 0013-7944

VL - 70

SP - 1675

EP - 1695

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

IS - 13

ER -

Calculation of mixed-mode stress intensity factors for a crack normal to a bimaterial interface using contour integrals

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