Abstract The virtual element method (VEM) for curved edges with applications to contact mechanics is outlined within this work. VEM allows the use of non-matching meshes at interfaces with the advantage that these can be mapped to a simple node-to-node contact formulation. To account for exact approximation of complex geometries at interfaces, we developed a VEM technology for contact that considers curved edges. A number of numerical examples illustrate the robustness and accuracy of this discretization technique. The results are very promising and underline the advantages of the new VEM formulation for contact between two elastic bodies in the presence of curved interfaces.

中文翻译：

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接触力学的曲线虚拟元素

摘要 在这项工作中概述了弯曲边缘的虚拟元素方法 (VEM) 与接触力学的应用。VEM 允许在界面使用非匹配网格，其优点是这些网格可以映射到简单的节点到节点接触公式。为了解释界面处复杂几何形状的精确近似，我们开发了一种考虑弯曲边缘的接触 VEM 技术。许多数值例子说明了这种离散化技术的鲁棒性和准确性。结果非常有希望，并强调了新 VEM 公式在存在弯曲界面的情况下用于两个弹性体之间接触的优势。