Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Mathematical Modeling of Stable Quasi-Static Crack Extension by Extended Griffith Energy Balance Theory(Theory,Continuum Mechanics Focusing Singularitie,<Special Issue> "Joint Symposium of JSIAM Activity Groups 2006")
Kohji Ohtsuka
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2006 Volume 16 Issue 4 Pages 607-630

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Abstract
Griffith's approach to fracture mechanics is very powerful, and there are many extensions and modifications of Griffith's work. We observe stable crack extension before fracture; for example, cracking occurs under repeated loading (fatigue failure). However, Griffith's approach is so that it is applicable only under constant loading. In this paper, first, Griffith's theory is modified available under varying loads. With this modification, Griffith's energy balance theory is extended in consideration of second expansion of energies and crack extension resistance with respect to time, which shows importance of varying load in stable crack extension. The research is done in 3-dimensional cases in wide class.
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© 2006 The Japan Society for Industrial and Applied Mathematics
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