Numerical solution of an equilibrium problem for an elastic body with a thin delaminated rigid inclusion Full article
| Journal |
Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2016, Volume: 10, Number: 2, Pages: 264-276 Pages count : 13 DOI: 10.1134/S1990478916020113 | ||||
| Tags | delamination crack; domain decomposition method; nonpenetration condition; thin rigid inclusion; Uzawa algorithm; variational inequality | ||||
| Authors |
|
||||
| Affiliations |
|
Abstract:
Under consideration is a 2D-problem of elasticity theory for a body with a thin rigid inclusion. It is assumed that there is a delamination crack between the rigid inclusion and the elastic matrix. At the crack faces, the boundary conditions are set in the form of inequalities providing mutual nonpenetration of the crack faces. Some numerical method is proposed for solving the problem, based on domain decomposition and the Uzawa algorithm for solving variational inequalities.We give an example of numerical calculation by the finite element method. © 2016, Pleiades Publishing, Ltd.
Cite:
Rudoy E.M.
Numerical solution of an equilibrium problem for an elastic body with a thin delaminated rigid inclusion
Journal of Applied and Industrial Mathematics. 2016. V.10. N2. P.264-276. DOI: 10.1134/S1990478916020113 Scopus РИНЦ OpenAlex
Numerical solution of an equilibrium problem for an elastic body with a thin delaminated rigid inclusion
Journal of Applied and Industrial Mathematics. 2016. V.10. N2. P.264-276. DOI: 10.1134/S1990478916020113 Scopus РИНЦ OpenAlex
Identifiers:
| Scopus: | 2-s2.0-84971264767 |
| Elibrary: | 27159869 |
| OpenAlex: | W2400286988 |