Steketee's paradox

Steketee's paradox
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斯泰克蒂悖论

DOI:
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发表时间:
1969
影响因子:
3
通讯作者:
J. C. Savage
J. C. Savage
中科院分区:
地球科学3区
文献类型:
--
作者:
J. C. Savage

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Steketee注意到,在边界处受恒定应力作用的介质中,位错表面的引入总是会增加介质的应变能。这被误解为在这种情况下引入位错表面不能代表断裂,因为断裂一定是一个释放能量的过程。这里表明,如果考虑整个系统,位错表面的引入确实会导致机械能的下降。证明是用内部应变来表示的,当然,这是对地震问题的适当表述。
Abstract Steketee noted that in a medium subject to invariable stresses at its boundaries, the introduction of a dislocation surface would always increase the strain energy of the medium. This has been misunderstood to imply that the introduction of a dislocation surface in that situation cannot represent rupture since rupture must be an energy-releasing process. It is shown here that the introduction of a dislocation surface can indeed cause a drop in mechanical energy if the entire system is considered. The proof is formulated in terms of internal strain which, of course, is the appropriate formulation of the earthquake problem.