T-shape inclusion in elastic body with a damage parameter Full article
| Journal |
Journal of Computational and Applied Mathematics
ISSN: 0377-0427 |
||||||
|---|---|---|---|---|---|---|---|
| Output data | Year: 2021, Volume: 393, Article number : 113540, Pages count : DOI: 10.1016/j.cam.2021.113540 | ||||||
| Tags | CRACK, ELASTIC BODY, INVERSE PROBLEM, NONPENETRATION CONDITION, T-SHAPE INCLUSION, VARIATIONAL INEQUALITY | ||||||
| Authors |
|
||||||
| Affiliations |
|
Abstract:
We consider an equilibrium problem for a 2D elastic body with a thin elastic T-shape inclusion. A part of the inclusion is delaminated from the elastic body forming a crack between the inclusion and the surrounding elastic body. Inequality type boundary conditions are imposed at the crack faces preventing interpenetration between the crack faces. The model is characterized by a damage parameter. This parameter is responsible for connection at the junction points between different parts of the considered structure. Dependence of solutions on the damage parameter is investigated, in particular, a passage to infinity and to zero is analyzed. Inverse problems are considered provided that the damage parameter and Lamé parameters of the elastic body are unknown. In this case, a displacement of the tip point of the inclusion is assumed to be known. A solution existence of the inverse problems is proved.
Cite:
Khludnev A.
T-shape inclusion in elastic body with a damage parameter
Journal of Computational and Applied Mathematics. 2021. V.393. 113540 . DOI: 10.1016/j.cam.2021.113540 WOS РИНЦ OpenAlex
T-shape inclusion in elastic body with a damage parameter
Journal of Computational and Applied Mathematics. 2021. V.393. 113540 . DOI: 10.1016/j.cam.2021.113540 WOS РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000640527200022 |
| Elibrary: | 46754374 |
| OpenAlex: | W3134778517 |