Global existence for a nonlocal model for adhesive contact
Analysis of PDEs
2017-04-04 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1704.00168,
title = {Global existence for a nonlocal model for adhesive contact},
author = {Elena Bonetti and Giovanna Bonfanti and Riccarda Rossi},
journal= {arXiv preprint arXiv:1704.00168},
year = {2017}
}