论文标题
使用非滑动优化方法解决准危机问题
Solving Quasistatic Contact Problems Using Nonsmooth Optimization Approach
论文作者
论文摘要
本文致力于对时间依赖性的半传不平等的研究。我们证明其解决方案的存在和独特性，提供了完全离散的计划，并将该方案重新制定为一系列非平滑优化问题。该理论后来将其应用于样本准危机问题，描述了与基础摩擦接触中的粘弹性体。这种接触受非单调摩擦定律的控制，依赖于位移的正常成分和速度的切向成分。最后，进行计算模拟以说明获得的结果。
This paper is devoted to a study of time-dependent hemivariational inequality. We prove existence and uniqueness of its solution, provide fully discrete scheme and reformulate this scheme as a series of nonsmooth optimization problems. This theory is later applied to a sample quasistatic contact problem describing a viscoelastic body in frictional contact with a foundation. This contact is governed by a nonmonotone friction law with dependence on normal component of displacement and tangential component of velocity. Finally, computational simulations are performed to illustrate obtained results.
