Detecting an Inclusion in an Elastic Body by Boundary Measurements
Detecting an Inclusion in an Elastic Body by Boundary Measurements
复制标题
通过边界测量检测弹性体内的夹杂物
作者：
G. Alessandrini;A. Morassi;Edi Rosset
我们考虑在一个弹性各向同性体$Omega$中，确定由不同弹性材料组成的包体D可能存在的问题，{来自}对牵引力和位移的边界测量。我们证明了D的体积（大小）可以由一个容易表达的与功有关的量来估计，只依赖于边界的牵引力和位移。
We consider the problem of determining, within an elastic isotropic body $Omega$, the possible presence of an inclusion D made of different elastic material {from} boundary measurements of traction and displacement. We prove that the volume (size) of D can be estimated, {from} above and below, by an easily expressed quantity related to work depending only on the boundary traction and displacement.