TY - JOUR T1 - Numerical Analysis of an Adhesive Contact Problem with Long Memory AU - Cheng , Xiaoliang AU - Xiao , Qichang JO - East Asian Journal on Applied Mathematics VL - 1 SP - 72 EP - 88 PY - 2020 DA - 2020/01 SN - 10 DO - http://doi.org/10.4208/eajam.181018.020419 UR - https://global-sci.org/intro/article_detail/eajam/13603.html KW - Variational-hemivariational inequality, adhesion, memory term, numerical approximation, error estimate. AB -

Spatially semidiscrete and fully discrete schemes for a variational-hemivariational inequality, which describes adhesive contact between a deformable body of a viscoelastic material with long memory and a foundation are constructed. The variational formulation of the problem is represented by a system coupling a nonlinear integral equation with a history-dependent variational-hemivariational inequality. Assuming certain regularity of the solution and using piecewise linear finite element function for displacements and piecewise constant functions for bonding field, we obtain optimal order error estimates.