TY - JOUR
T1 - Numerical Analysis of a History-Dependent Variational-Hemivariational Inequality for a Viscoplastic Contact Problem
AU - Cheng , Xiaoliang
AU - Wang , Xilu
JO - International Journal of Numerical Analysis and Modeling
VL - 6
SP - 820
EP - 838
PY - 2020
DA - 2020/10
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/18353.html
KW - Variational-hemivariational inequality, viscoplastic material, numerical approximation, optimal order error estimate.
AB - <p style="text-align: justify;">In this paper, we consider a mathematical model which describes the quasistatic
frictionless contact between a viscoplastic body and a foundation. The contact is modeled with
normal compliance and unilateral constraint. We present the variational-hemivariational formulation of the model and prove its unique solvability. Then we introduce a fully discrete scheme to
solve the problem and derive an error estimate. Under appropriate regularity assumptions of the
exact solution, we obtain the optimal order error estimate. Finally, numerical results are reported
to show the performance of the numerical method.<br/></p>