An asymptotic model for a thin, soft and imperfectly bonded elastic joint

Christian Licht (1, 2) , Gérard Michaille (3) , Pongpol Juntharee (4)

1 Mahidol University [Bangkok]
2 M3 - Mathématiques et Modélisations en Mécanique
3 I3M - Institut de Mathématiques et de Modélisation de Montpellier
4 KMUTNB - King Mongkut's University of Technology North Bangkok

An asymptotic model for a thin, soft, linearly elastic joint imperfectly bonded to two linearly elastic bodies is derived by studying the variational convergence of the total mechanical energy when the thickness and the stiffness of the joint go to zero. The joint is replaced by a mechanical constraint between the adherents which correspond to the connection in series of the classical limit constraint induced by the soft joint and constraints between the joint and the adherents.

Mots clés: asymptotic analysis; variational convergence; epigraphical sum; linearized elasticity; soft junctions; imperfect bonding

Domaines: Mécanique des solides [physics.class-ph]

Christian Licht, Gérard Michaille, Pongpol Juntharee. An asymptotic model for a thin, soft and imperfectly bonded elastic joint. Mathematical Methods in the Applied Sciences, 2016, 39 (5), pp.981-997. ⟨10.1002/mma.3535⟩. ⟨hal-02064947⟩