Exponential degradation of adhesion between visco-hyperelastic materials by isogeometric analysis

Visco-hyperelastic materials are extensively utilized in engineering applications due to their excellent adhesive properties. However, this adhesion gradually weakens when subjected to cyclic bonding–debonding. In this paper, a modified cohesive zone model is developed by introducing an exponential degradation factor that is related to the number of bonding–debonding cycles to characterize the adhesion degradation phenomenon. This model also takes the effect of real contact area on adhesion in each bonding–debonding cycle into account. We then couple this model with the bi-potential contact algorithm to handle interfacial contact during the bonding process, because the cohesive zone model concerns the process of separation. Two-dimensional and three-dimensional numerical implementations of large deformation frictional contact and adhesion are carried out in the context of isogeometric analysis, which offers a geometrically accurate description, a continuous normal field of the contact interface, and precise determination of contact forces. Numerical examples show that the effect of material viscosity on adhesion varies depending on the boundary conditions, and the rough surface has an obvious effect on adhesion.