A bi-potential contact formulation for recoverable adhesion between soft bodies based on the RCC interface model

Abstract

An extended, ready-to-implement 3D model for quasi-industrial problems of contact with friction and recoverable interface adhesion between soft material is formulated using the Raous–Cangémi–Cocou (RCC) interface model and a bi-potential based resolution method. According to the RCC description, the recoverable adhesive interface behaviour derives from a free surface energy and a surface dissipation pseudo-potential. The obtained interface law describes both the de-bonding process of adhesive links due to tangential and normal interface deformation, and reversely, the bonding process that takes place when two surfaces approach close enough. We then propose an associated formulation coupling 3D extended interface law and Blatz–Ko hyperelastic material, that enables modelling large deformations of foam type soft matters under conditions of contact and friction with recoverable adhesion. In the end, the subsequent local contact nonlinear equations are solved using a Newton-like algorithm within the bi-potential framework. Numerical examples are performed to demonstrate the capacity of the proposed approach.