Asymptotic behaviour at a tip of a rigid line inclusion in linearized elasticity

Asymptotic behaviour at a tip of a rigid line inclusion in linearized elasticity
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DOI：
10.1002/zamm.201100157
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发表时间：
2012-09
期刊：
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
影响因子：
--
通讯作者：
Hiromichi Itou;Alexander Khludnev;E. Rudoy;A. Tani
Hiromichi Itou;Alexander Khludnev;E. Rudoy;A. Tani
中科院分区：
其他
文献类型：
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作者：
Hiromichi Itou;Alexander Khludnev;E. Rudoy;A. Tani

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我们考虑二维均匀各向同性线性弹性中刚性线包含尖端附近解的渐近行为。通过 Goursat-Kolosov-Muskhelishvili 应力函数，我们得出了周围解的收敛展开。此外，我们还给出了不变积分和欧文公式的表达式。
We consider an asymptotic behaviour of a solution near a tip of a rigid line inclusion in two dimensional homogeneous isotropic linearized elasticity. By means of Goursat‐Kolosov‐Muskhelishvili stress functions we derive convergent expansions of the solution around there. Furthermore, we give expressions of the invariant integral and the Irwin's formula.