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.
Titolo: | Detecting an inclusion in an elastic body by boundary measurements | |
Autori: | ||
Data di pubblicazione: | 2004 | |
Rivista: | ||
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. | |
Handle: | http://hdl.handle.net/11368/1696092 | |
Appare nelle tipologie: | 1.1 Articolo in Rivista |
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