Using M-integral for multi-cracked problems subjected to nonconservative and nonuniform crack surface tractions

J. H. Chang; W. H. Wu

doi:10.1016/j.ijsolstr.2011.05.005

Using M-integral for multi-cracked problems subjected to nonconservative and nonuniform crack surface tractions

J. H. Chang, W. H. Wu

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

13 Scopus citations

Abstract

In this paper, an energy parameter based on the concept of the M-integral is proposed for describing the fracture behavior of a multi-cracked solid subjected to nonconservative and nonuniform crack surface tractions. By using the M-integral with a suitably chosen closed contour, one can evaluate the 'surface creation energy' (SCE) required for creation of the stressed cracks. Also, it is demonstrated that the property of path-independence holds even under the action of crack surface tractions. Therefore, the singular stress field in the near-tip areas is not directly involved in the calculation so that a complicated finite element model around the crack tips is not required in evaluation of the M-integral.

Original language	English
Pages (from-to)	2605-2613
Number of pages	9
Journal	International Journal of Solids and Structures
Volume	48
Issue number	19
DOIs	https://doi.org/10.1016/j.ijsolstr.2011.05.005
State	Published - 15 Sep 2011

Keywords

Crack surface tractions
M-integral
Multiple cracks
Path-independence
Surface creation energy

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10.1016/j.ijsolstr.2011.05.005

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title = "Using M-integral for multi-cracked problems subjected to nonconservative and nonuniform crack surface tractions",

abstract = "In this paper, an energy parameter based on the concept of the M-integral is proposed for describing the fracture behavior of a multi-cracked solid subjected to nonconservative and nonuniform crack surface tractions. By using the M-integral with a suitably chosen closed contour, one can evaluate the 'surface creation energy' (SCE) required for creation of the stressed cracks. Also, it is demonstrated that the property of path-independence holds even under the action of crack surface tractions. Therefore, the singular stress field in the near-tip areas is not directly involved in the calculation so that a complicated finite element model around the crack tips is not required in evaluation of the M-integral.",

keywords = "Crack surface tractions, M-integral, Multiple cracks, Path-independence, Surface creation energy",

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

note = "Funding Information: This work has been partially supported by National Science Council Grant No. NSC98-2221-E-008-071 to National Central University. ",

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T1 - Using M-integral for multi-cracked problems subjected to nonconservative and nonuniform crack surface tractions

AU - Chang, J. H.

AU - Wu, W. H.

N1 - Funding Information: This work has been partially supported by National Science Council Grant No. NSC98-2221-E-008-071 to National Central University.

PY - 2011/9/15

Y1 - 2011/9/15

N2 - In this paper, an energy parameter based on the concept of the M-integral is proposed for describing the fracture behavior of a multi-cracked solid subjected to nonconservative and nonuniform crack surface tractions. By using the M-integral with a suitably chosen closed contour, one can evaluate the 'surface creation energy' (SCE) required for creation of the stressed cracks. Also, it is demonstrated that the property of path-independence holds even under the action of crack surface tractions. Therefore, the singular stress field in the near-tip areas is not directly involved in the calculation so that a complicated finite element model around the crack tips is not required in evaluation of the M-integral.

AB - In this paper, an energy parameter based on the concept of the M-integral is proposed for describing the fracture behavior of a multi-cracked solid subjected to nonconservative and nonuniform crack surface tractions. By using the M-integral with a suitably chosen closed contour, one can evaluate the 'surface creation energy' (SCE) required for creation of the stressed cracks. Also, it is demonstrated that the property of path-independence holds even under the action of crack surface tractions. Therefore, the singular stress field in the near-tip areas is not directly involved in the calculation so that a complicated finite element model around the crack tips is not required in evaluation of the M-integral.

KW - Crack surface tractions

KW - M-integral

KW - Multiple cracks

KW - Path-independence

KW - Surface creation energy

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DO - 10.1016/j.ijsolstr.2011.05.005

M3 - 期刊論文

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SN - 0020-7683

VL - 48

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EP - 2613

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

IS - 19

ER -

Using M-integral for multi-cracked problems subjected to nonconservative and nonuniform crack surface tractions

Abstract

Keywords

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