Uniform stress fields inside multiple inclusions in an elastic infinite plane under plane deformation
Uniform stress fields inside multiple inclusions in an elastic infinite plane under plane deformation
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平面变形下弹性无限平面内多个夹杂物内部的均匀应力场
DOI：
10.1098/rspa.2014.0933
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发表时间：
2015-05
影响因子：
3.5
通讯作者：
Ru C. Q.
中科院分区：
文献类型：
--
作者：
Dai Ming;Gao Cun-Fa;Ru C. Q.
构造了无限弹性矩阵中具有均匀内应力场的多个弹性夹杂在给定的均匀远面内载荷作用下的力学模型。该方法是基于一个充分必要的条件施加在边值的全纯函数，保证存在的全纯函数在一个多连通区域。每个多重夹杂物的未知形状的特征在于由保角映射。这项工作的重点是一个主要的大类的多重夹杂物，其特征在于一个简单的条件，涵盖和远远超出了已知的相关结果在以前的作品。多个夹杂物的几何对称或不对称的广泛的例子。研究结果表明，只有当所有的复合夹杂物的剪切模量与基体的剪切模量相同时，才能得到内部应力场均匀的夹杂物形状与远程加载无关。此外，还导出了远程加载、夹杂物弹性常数和均匀内应力场的具体条件，从而保证了多个对称夹杂或多个旋转对称夹杂的存在。
Multiple elastic inclusions with uniform internal stress fields in an infinite elastic matrix are constructed under given uniform remote in-plane loadings. The method is based on the sufficient and necessary condition imposed on the boundary value of a holomorphic function that guarantees the existence of the holomorphic function in a multiply connected region. The unknown shape of each of the multiple inclusions is characterized by a conformal mapping. This work focuses on a major large class of multiple inclusions characterized by a simple condition that covers and is much beyond the known related results reported in previous works. Extensive examples of multiple inclusions with or without geometrical symmetry are shown. Our results showed that the inclusion shapes obtained for the uniformity of internal stress fields are independent of the remote loading only when all of the multiple inclusions have the same shear modulus as that of the matrix. Moreover, specific conditions are derived on remote loading, elastic constants of the inclusions and uniform internal stress fields, which guarantee the existence of multiple symmetric inclusions or multiple rotationally symmetrical inclusions with uniform internal stress fields.
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DOI：
10.1115/1.2913045
发表时间：
2008-09
期刊：
Journal of Applied Mechanics
影响因子：
--
作者：
X. Wang;E. Pan;L. Sudak
通讯作者：
X. Wang;E. Pan;L. Sudak
具有内部均匀电弹性场的任意形状的三相压电夹杂物
影响因子：
6.6
作者：
Wang, X.;Zhou, K.
通讯作者：
Zhou, K.
DOI：
--
发表时间：
2021-07
期刊：
--
影响因子：
--
作者：
Liping Liu;R. James;P. Leo
通讯作者：
Liping Liu;R. James;P. Leo
影响因子：
2.5
作者：
Hyeonbae Kang;G. Milton
通讯作者：
Hyeonbae Kang;G. Milton
DOI：
10.1137/1037003
发表时间：
1995-03
期刊：
SIAM Rev.
影响因子：
--
作者：
C. Horgan
通讯作者：
C. Horgan