Bubble

Quantum mechanics

Linguistics

Engineering

Philosophy

Multiphysics

Materials science

Capillary number

Asymptotic analysis

Capillary action

Limit (mathematics)

Constitutive equation

Maximum bubble pressure method

Thermodynamics

Physics

Finite element method

Nonlinear system

Mathematics

Interface (matter)

Asymptotic expansion

Mathematical analysis

Composite material

Imperfect

Structural engineering

Mechanics

International Journal of Solids and Structures

The paper is concerned with the derivation of a general imperfect interface law in a linear multiphysics framework for a composite, constituted by two solids, separated by a thin adhesive layer. The analysis is performed by means of the asymptotic expansions technique. After defining a small parameter ε, which will tend to zero, associated with the thickness and the constitutive coefficients of the intermediate layer, we characterize three different limit models and their associated limit problems: the soft interface model, in which the constitutive coefficients depend linearly on ε; the hard interface model, in which the constitutive properties are independent of ε; the rigid interface model, in which they depend on 1ε. The asymptotic expansion method is reviewed by taking into account the effect of higher order terms and by defining a general multiphysics interface law which comprises the above aforementioned models.

An asymptotic derivation of a general imperfect interface law for linear multiphysics composites