2017/04/01 by E. Bonetti, Bonetti, Elena, Giovanna Bonfanti +3
Computer Science · Engineering · #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #Dynamics and Control of Mechanical Systems #FOS: Mathematics #Numerical methods in engineering
paper · pdf · doi:10.48550/arxiv.1704.00168
openalex publication_date 2017/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we address the analytical investigation of a model for adhesive contact, which includes nonlocal sources of damage on the contact surface, such as the elongation. The resulting PDE system features various nonlinearities rendering the unilateral contact conditions, the physical constraints on the internal variables, as well as the integral contributions related to the nonlocal forces. For the associated initial-boundary value problem we obtain a global-in-time existence result by proving the existence of a local solution via a suitable approximation procedure and then by extending the local solution to a global one by a nonstandard prolongation argument.