Solvability of a Nonclamped Frictional Contact Problem with Adhesion

A frictional contact problem with adhesion for viscoelastic materials with long memory

“…[19], [21]). As in [3], [4], [13], equation (3.7) describes the evolution of the bonding field where H ad is a general function. An example of the adhesion rate function H ad is (3.12)…”

“…General models with adhesion can be found in [9], [10]. Related adhesive contact problems can be found in [3], [4], [13], [20], [21], [24] and references therein. Following [9], [10], we introduce a surface internal variable β ∈ [0, 1], which is a measure of the intensity of adhesion between the contact surface and the foundation.…”