Path Independent Integral to Creep Crack and Crack Energy Density

概要

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The crack energy density ε and ε_J-integral which is the path independent expression of ε are applied to creep problem and it is shown that ε and its differential coefficient with respect to time ε^^._<st> are valid parameters to creep crack without any restriction on constitutive equation. The contents of the paper are as follows. (1) ε and ε^^._<st> are introduced as creep crack parameters and it is shown that ε^^._<st> can be evaluated by a path independent integral ε^^._<st> obtained by differentiating ε_J with respect to time. (2) It is pointed out that J'-integral (C*-parameter) can be evaluated by a newly-introduced ε^^._<jst> which is a path independent integral even to non-steady state creep, and the physical meaning of J' is clarified based on ε'_<Jst>. Also the relation between ε^^._<st> and J' is discussed and the role of J' is made clear. (3) The validities of ε and ε^^._<st> as creep crack parameters are numerically verified through finite element analyses.
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