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M- and Mc-Integrals for Multicracked Problems in Three Dimensions

Chang, J. H. / Kang, Y. C. / Chung, L. G.

Abstract

A problem-invariant $M_{c}$ -integral is proposed as an energy parameter for describing the degradation of structural integrity caused by irreversible evolution of multiple cracks in three-dimensional (3D) elastic solids. The physical meaning for 3D $M_{c}$ , which is related to the surface energy corresponding to creation of the cracks, does not hold in the same manner as that for two-dimensional (2D) $M_{c}$ and needs to be properly reformulated. Also, the 3D integration is shown to be surface-independent in a modified sense. With this property, by choosing a closed surface remote from the crack fronts, the 3D $M_{c}$ can then be accurately evaluated with finite-element (FE) solutions even when the near-front areas are not simulated with very fine grids.

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M- and Mc-Integrals for Multicracked Problems in Three Dimensions

Chang, J. H. / Kang, Y. C. / Chung, L. G.

Abstract

A problem-invariant $M_{c}$ -integral is proposed as an energy parameter for describing the degradation of structural integrity caused by irreversible evolution of multiple cracks in three-dimensional (3D) elastic solids. The physical meaning for 3D $M_{c}$ , which is related to the surface energy corresponding to creation of the cracks, does not hold in the same manner as that for two-dimensional (2D) $M_{c}$ and needs to be properly reformulated. Also, the 3D integration is shown to be surface-independent in a modified sense. With this property, by choosing a closed surface remote from the crack fronts, the 3D $M_{c}$ can then be accurately evaluated with finite-element (FE) solutions even when the near-front areas are not simulated with very fine grids.

M- and Mc-Integrals for Multicracked Problems in Three Dimensions

Chang, J. H. / Kang, Y. C. / Chung, L. G.

Abstract

A problem-invariant $M_{c}$ -integral is proposed as an energy parameter for describing the degradation of structural integrity caused by irreversible evolution of multiple cracks in three-dimensional (3D) elastic solids. The physical meaning for 3D $M_{c}$ , which is related to the surface energy corresponding to creation of the cracks, does not hold in the same manner as that for two-dimensional (2D) $M_{c}$ and needs to be properly reformulated. Also, the 3D integration is shown to be surface-independent in a modified sense. With this property, by choosing a closed surface remote from the crack fronts, the 3D $M_{c}$ can then be accurately evaluated with finite-element (FE) solutions even when the near-front areas are not simulated with very fine grids.

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Title:

M- and Mc-Integrals for Multicracked Problems in Three Dimensions

Contributors:

Chang, J. H. (author) / Kang, Y. C. (author) / Chung, L. G. (author)

Published in:

Journal of Engineering Mechanics ; 139 ; 1874-1880

Publication date:

2013-02-15

Size:

72013-01-01 pages

ISSN:

0733-9399 , 1943-7889

DOI:

https://doi.org/10.1061/(ASCE)EM.1943-7889.0000605

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

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