Exact determination of the volume of an inclusion in a body having constant shear modulus
Exact determination of the volume of an inclusion in a body having constant shear modulus
复制标题
精确测定具有恒定剪切模量的物体中夹杂物的体积
DOI：
10.1088/0266-5611/30/12/125008
复制
发表时间：
2014
期刊：
影响因子：
2.1
通讯作者：
G. Milton
中科院分区：
文献类型：
--
作者：
Andrew E. Thaler;G. Milton
当包裹体和物体是具有相同剪切模量的线弹性材料时，我们导出了包裹体体积分数的精确公式。我们的公式依赖于对物体边界周围的位移和牵引力的适当测量。特别是，物体边界周围的边界条件必须是这样的，即它们模拟物体被放置在无限介质中，并在无限处施加适当的位移。
We derive an exact formula for the volume fraction of an inclusion in a body when the inclusion and the body are linearly elastic materials with the same shear modulus. Our formula depends on an appropriate measurement of the displacement and traction around the boundary of the body. In particular, the boundary conditions around the boundary of the body must be such that they mimic the body being placed in an infinite medium with an appropriate displacement applied at infinity.