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.
Detecting an inclusion in an elastic body by boundary measurements
ALESSANDRINI, GIOVANNI;ROSSET, EDI
2004
Abstract
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.File in questo prodotto:
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