Use of M Integral for Rubbery Material Problems Containing Multiple Defects
Publication: Journal of Engineering Mechanics
Volume 130, Issue 5
Abstract
An energy parameter based on the concept of the M integral is proposed for describing the fracture behavior of a two-dimensional multidefect rubbery mechanical system under the action of large deformation. To this end, we first define a problem-invariant parameter by suitably choosing a closed contour and taking the integration with respect to the geometric center of all the enclosed defects. Attention is then addressed to discussion of the physical meaning of which is shown to be related to the surface energy corresponding to formation of the defects. Also, the integration appears to be path independent so that the complicated singular stress field in the near-tip areas need not be involved in the calculation. Based on the above characteristics, it is suggested that may be possibly used as a fracture parameter for describing the degradation of material and/or structural integrity caused by irreversible evolution of defects in rubbery media.
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Copyright © 2004 American Society of Civil Engineers.
History
Received: May 8, 2002
Accepted: Oct 21, 2003
Published online: Apr 15, 2004
Published in print: May 2004
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