Research output: Contribution to journal › Article › peer-review
Modeling of bonded elastic structures by a variational method: Theoretical analysis and numerical simulation. / Furtsev, Alexey; Itou, Hiromichi; Rudoy, Evgeny.
In: International Journal of Solids and Structures, Vol. 182-183, 01.01.2020, p. 100-111.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Modeling of bonded elastic structures by a variational method: Theoretical analysis and numerical simulation
AU - Furtsev, Alexey
AU - Itou, Hiromichi
AU - Rudoy, Evgeny
N1 - Funding Information: This work was supported by the Russian Foundation for Basic Research , Russia (Grant No. 19-51-50004 ) and Japan Society for the Promotion of Science (Grant No. J19-721 ) under the Japan-Russia Research Cooperative Program. Publisher Copyright: © 2019 Elsevier Ltd Copyright: Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2020/1/1
Y1 - 2020/1/1
N2 - 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.
AB - 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.
KW - Adhesive contact
KW - Bonded structure
KW - Delamination crack
KW - Domain decomposition method
KW - Nonpenetration condition
KW - Path-independent integral
KW - Tresca's friction
KW - UNILATERAL CONDITIONS
KW - ENERGY
KW - INEQUALITIES
KW - CRACK PROBLEMS
KW - SOFT
KW - DOMAIN DECOMPOSITION METHOD
KW - INTERFACE
KW - EQUILIBRIUM
KW - CONVERGENCE
KW - INCLUSION
UR - http://www.scopus.com/inward/record.url?scp=85070214531&partnerID=8YFLogxK
U2 - 10.1016/j.ijsolstr.2019.08.006
DO - 10.1016/j.ijsolstr.2019.08.006
M3 - Article
AN - SCOPUS:85070214531
VL - 182-183
SP - 100
EP - 111
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
ER -
ID: 21241504