モードIII非定常高速伝ぱき裂先端漸近解の数式処理による導出

概要

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Explicit expressions for the mode III asymptotic solutions of an unsteadily fast-propagating crack tip had not been derived before. In the present study, first, the governing equations for this problem were derived. Next, to obtain the solutions of the governing equations, a symbolic manipulation system was used. The explicit expressions for the mode-III transient stress and displacement fields were successfully derived for the first five terms (n=0〜4) in asymptotic series. It was found that the transient effects do not appear in the singular and constant-stress terms. but appear only in the higher-order terms greater than or equal to the third order (n≥3). These features of the asymptotic solutions agree with those of the in-plane mixed-mode asymptotic solutions obtained in a previous study.
一般社団法人日本機械学会の論文
1996-03-25