Misfit Stresses Due to a Cylindrical Dilatational Inclusion of Annular-Sector Cross-Section in an Infinite Elastic Medium

Z. Gudkina, S. Krasnitckii, M. Gutkin
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Abstract

An elastic model for a cylindrical dilatational inclusion of annular-sector cross-section in an infinite elastic medium is considered. The stress fields are found in a closed analytical form and are illustrated by stress maps. Specific features in the stress distribution are revealed and discussed in detail. It is shown that the stress magnitude can be so high that various mechanisms of stress relaxation can be activated.
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无限弹性介质中环形扇形截面的圆柱膨胀包涵所引起的失配应力
考虑了无限弹性介质中环形扇形截面圆柱膨胀包体的弹性模型。应力场以闭合解析形式存在,并以应力场图表示。揭示并详细讨论了应力分布的具体特征。研究表明,应力强度可以如此之高,以至于可以激活各种应力松弛机制。
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