- and -Integrals for Multicracked Problems in Three Dimensions
Publication: Journal of Engineering Mechanics
Volume 139, Issue 12
Abstract
A problem-invariant -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 , 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) 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 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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Acknowledgments
This work has been partially supported by National Science Council Grant No. NSC100-2221-E-008-071 to National Central University.
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Information
Published In
Journal of Engineering Mechanics
Volume 139 • Issue 12 • December 2013
Pages: 1874 - 1880
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Jun 22, 2011
Accepted: Feb 13, 2013
Published online: Feb 15, 2013
Published in print: Dec 1, 2013
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