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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/1696092
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