Modeling of bonded elastic structures by a variational method: Theoretical analysis and numerical simulation

Modeling of bonded elastic structures by a variational method: Theoretical analysis and numerical simulation Full article

Journal

International Journal of Solids and Structures
ISSN: 0020-7683

Output data

Year: 2020, Volume: 182-183, Pages: 100-111 Pages count : 12 DOI: 10.1016/j.ijsolstr.2019.08.006

Tags

Adhesive contact; Bonded structure; Delamination crack; Domain decomposition method; Nonpenetration condition; Path-independent integral; Tresca's friction

Authors

Furtsev A. ¹ , Itou H. ² , Rudoy E. ^1,3

Affiliations

1	Lavrentyev Institute of Hydrodynamics of SB RAS, Lavrentyev av., 15, Novosibirsk, 630090, Russian Federation
2	Department of Mathematics, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan
3	Novosibirsk State University, Pirogov str., 1, Novosibirsk, 630090, Russian Federation

The paper deals with an equilibrium problem of two bodies adhesively bonded to each other along the part of interface between them. There is a crack on the rest part of the interface. The bonding between the bodies is described by “spring type” condition modeling a soft and thin material layer. We also impose non-penetration conditions and Tresca's friction conditions on the interface including both the adhesive layer and the crack. The non-penetration condition excludes mutual penetration of bodies. A formula for the derivative of the energy functional with respect to the crack length is obtained. It is shown that the derivative can be represented as a path-independent integral (J-integral). Moreover, a non-overlapping domain decomposition method for the bonded structure is proposed and its convergence is studied theoretically and numerically. The numerical study shows the efficiency of the proposed method and the importance of the non-penetration condition. © 2019 Elsevier Ltd

Furtsev A. , Itou H. , Rudoy E.
Modeling of bonded elastic structures by a variational method: Theoretical analysis and numerical simulation
International Journal of Solids and Structures. 2020. V.182-183. P.100-111. DOI: 10.1016/j.ijsolstr.2019.08.006 WOS Scopus РИНЦ OpenAlex

Web of science:	WOS:000488996200007
Scopus:	2-s2.0-85070214531
Elibrary:	41624576
OpenAlex:	W2964806488

DB	Citing
Scopus	34
Web of science	25
OpenAlex	23
Elibrary	32