Identification of cracks in thermoelasticity
Year: 2020
Type: preprint
Abstract: We are interested on a geometrical inverse problem that consists to identify a crack in thermoelasticity. The considered data are boundary measurements, namely the displacement and the temperature. We study the stability in the particular case of a straight emergent crack in a static thermoelastic medium. In our numerical approach to identify such cracks, we split the process into two steps; we identify the direction then the length of the crack. We study the uniqueness of the solution of the crack identification problem in a more general case; we prove identifiabilty of a crack modeled by a smooth curve via a non static thermoelastic model.
Source: HAL
Author: Benameur Hend
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3171051016