The Virtual Element Method is ideal for problems with non-conforming meshes since nodes can be inserted at the virtual element boundary to obtain a conforming mesh structure, without changing the ansatz of the element. The contact conditions can be employed on different enforcing strategies. This feature can be explored also for three-dimensional contact problems. In this work, we introduce a new framework, including a remeshing strategy, which leads to conforming meshes. Various numerical examples in 3D will be shown, including standard cases like the contact patch test and Hertzian contact.

中文翻译：

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具有非一致性网格的 3D 接触问题的虚拟元方法

虚拟单元法是解决网格不合格问题的理想选择，因为可以在虚拟单元边界处插入节点以获得一致的网格结构，而无需更改单元的 ansatz。接触条件可以用于不同的执行策略。这个特性也可以用于三维接触问题。在这项工作中，我们引入了一个新的框架，包括一个重新划分网格的策略，它会导致一致的网格。将显示 3D 中的各种数值示例，包括接触贴片测试和赫兹接触等标准案例。