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 - <p style="text-align: justify;">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.</p>