Elasticity problem with a cusp between thin inclusion and boundary

Elasticity problem with a cusp between thin inclusion and boundary Full article

Journal

Axioms
ISSN: 2075-1680

Output data

Year: 2023, Volume: 12, Number: 12, Article number : 1081, Pages count : 15 DOI: 10.3390/axioms12121081

Tags

elastic body; thin inclusion; cusp; non-penetration boundary condition; damage parameter; optimal control

Authors

Khludnev Alexander ^1,2

Affiliations

1	Novosibirsk State University
2	Lavrentyev Institute of Hydrodynamics

This paper concerns an equilibrium problem for an an elastic body with a thin rigid inclusion crossing an external boundary of the body at zero angle. The inclusion is assumed to be exfoliated from the surrounding elastic material that provides an interfacial crack. To avoid nonphysical interpenetration of the opposite crack faces, we impose inequality type constraints. Moreover, boundary conditions at the crack faces depend on a positive parameter describing a cohesion. A solution existence of the problem with different conditions on the external boundary is proved. Passages to the limit are analyzed as the damage parameter tends to infinity and to zero. Finally, an optimal control problem with a suitable cost functional is investigated. In this case, a part of the rigid inclusion is located outside of the elastic body, and a control function is a shape of the inclusion

Khludnev A.
Elasticity problem with a cusp between thin inclusion and boundary
Axioms. 2023. V.12. N12. 1081 :1-15. DOI: 10.3390/axioms12121081 WOS РИНЦ OpenAlex

Web of science:	WOS:001131101200001
Elibrary:	54911159
OpenAlex:	W4389056227

Пока нет цитирований