TY - JOUR

T1 - Variational approach to modeling soft and stiff interfaces in the Kirchhoff-Love theory of plates

AU - Furtsev, Alexey

AU - Rudoy, Evgeny

PY - 2020/10/1

Y1 - 2020/10/1

N2 - Within the framework of the Kirchhoff-Love theory, a thin homogeneous layer (called adhesive) of small width between two plates (called adherents) is considered. It is assumed that elastic properties of the adhesive layer depend on its width which is a small parameter of the problem. Our goal is to perform an asymptotic analysis as the parameter goes to zero. It is shown that depending on the softness or stiffness of the adhesive, there are seven distinct types of interface conditions. In all cases, we establish weak convergence of the solutions of the initial problem to the solutions of limiting ones in appropriate Sobolev spaces. The asymptotic analysis is based on variational properties of solutions of corresponding equilibrium problems.

AB - Within the framework of the Kirchhoff-Love theory, a thin homogeneous layer (called adhesive) of small width between two plates (called adherents) is considered. It is assumed that elastic properties of the adhesive layer depend on its width which is a small parameter of the problem. Our goal is to perform an asymptotic analysis as the parameter goes to zero. It is shown that depending on the softness or stiffness of the adhesive, there are seven distinct types of interface conditions. In all cases, we establish weak convergence of the solutions of the initial problem to the solutions of limiting ones in appropriate Sobolev spaces. The asymptotic analysis is based on variational properties of solutions of corresponding equilibrium problems.

KW - Asymptotic analysis

KW - Biharmonic equation

KW - Bonded structure

KW - Composite material

KW - Interface conditions

KW - Kirchhoff-Love plate

KW - DERIVATION

KW - QUASI-STATIC DELAMINATION

KW - ASYMPTOTIC ANALYSIS

KW - ELASTIC INCLUSIONS

KW - EQUILIBRIUM

KW - BOUNDARY

KW - NUMERICAL-SIMULATION

KW - IMPERFECT INTERFACE

UR - http://www.scopus.com/inward/record.url?scp=85088145737&partnerID=8YFLogxK

U2 - 10.1016/j.ijsolstr.2020.06.044

DO - 10.1016/j.ijsolstr.2020.06.044

M3 - Article

AN - SCOPUS:85088145737

VL - 202

SP - 562

EP - 574

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

ER -