In this paper, we study a dynamic contact problem with Clarke subdifferential boundary conditions. The material is assumed to be viscoplastic which has an implicit expression of the stress field in constitutive law. The weak form of the model is governed by an evolutionary hemivariational inequality coupled with an integral equation. We study a fully discrete approximation scheme of the problem and bound the errors. Under appropriate solution regularity assumptions, optimal-order error estimates can be derived. Finally, a numerical example is also included to support our theoretical analysis. Particularly, it gives numerical evidence on the theoretically predicted optimal convergence order.

在本文中，我们研究了具有克拉克次微分边界条件的动态接触问题。假定材料是粘塑性的，在本构法中隐含了应力场的表达。模型的弱形式受进化半变分不等式和积分方程的约束。我们研究了该问题的完全离散近似方案并限制了错误。在适当的解规律性假设下，可以得出最优阶误差估计。最后，还包括一个数值例子来支持我们的理论分析。特别是，它给出了理论上预测的最佳收敛顺序的数值证据。