Wang Xu, Schiavone Peter
School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai, China.
Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, AB, Canada.
Math Mech Solids. 2024 Nov 26;30(7):1435-1446. doi: 10.1177/10812865241282074. eCollection 2025 Jul.
We study the plane strain problem of a symmetric compressible liquid lip inclusion with two cusps in an infinite isotropic elastic matrix subjected to uniform remote in-plane normal stresses. The pair of analytic functions characterizing the elastic field in the matrix is derived in closed form. Explicit, elementary, and concise expressions in terms of the two Skempton's induced pore-pressure coefficients are obtained for the internal uniform hydrostatic tension within the liquid inclusion and the mode I stress intensity factor at the cusp tip. When the two remote normal stresses satisfy a single condition, the external loading will not induce any singular stress field at the cusp tips.
我们研究了在无限各向同性弹性基体中，一个具有两个尖点的对称可压缩液体夹杂物的平面应变问题，该基体承受均匀的远程面内法向应力。以封闭形式导出了表征基体中弹性场的一对解析函数。根据两个斯肯普顿诱导孔隙压力系数，得到了液体夹杂物内部均匀静水拉力和尖点尖端处I型应力强度因子的显式、基本且简洁的表达式。当两个远程法向应力满足一个单一条件时，外部载荷不会在尖点尖端处引起任何奇异应力场。
