Variational and numerical analysis of a dynamic frictionless contact problem with adhesion

Numerical Analysis of a Hyperbolic Hemivariational Inequality Arising in Dynamic Contact

“…In [15], a class of variational-hemivariational inequalities is studied, theoretically and numerically. The numerical analysis presented here is also motivated by techniques used in [7,8,9,41,5].…”

Analysis and numerical approximation of a dynamic contact problem with friction and adhesion

“…This paper extends the results of [5], [21]. Here, the novelty consists in dealing with a dynamic adhesive contact problem with Tresca's friction law in which the evolution of the adhesion field is described by a general function which may change sign and allows for rebonding after debonding took place.…”

“…An example of such a function is H ad (β, r) = −γ ad β + r 2 , where β + = max{β, 0} and γ ad is the bonding energy coefficient; the process in this case is irreversible and only debonding is allowed (see, e.g., [5], [18], [21]). Clearly, the function R τ satisfies…”

“…The quasistatic bilateral contact problem with adhesion and friction for viscoelastic materials was studied in [21]. Analysis and numerical simulations of adhesive contact problems can be found in [5], [6], [14], [18], [19] and references therein. The main new idea in these papers is the introduction of an internal variable β, the bonding field, defined on the contact surface, which has values between zero and one.…”

On an elasto-dynamic evolution equation with non dead load and friction

“…[5], [6], [8], [9], [10], [13], [15], [16]. In particular, a dynamic problem with adhesive contact was studied in [5], and unilateral dynamic contact problems for viscoelastic and thermo-viscoelastic bodies were analyzed in [9], [10].…”