论文标题
一个新的有限元范式来解决与粗糙度解决接触问题
A new finite element paradigm to solve contact problems with roughness
论文作者
论文摘要
本文的主要范围是介绍一种计算方法，用于模拟涉及复杂和粗糙表面的有限元方法中的接触问题。该方法依赖于[Arxiv：1805.07207]中提出的MPJR（嵌入式轮廓）界面有限元，该元件名义上是平坦的，但可以在节点层嵌入任何任意高度以重建由于存在粗糙度而导致的位移场。在这里，该公式被推广以处理3D表面高度场和任何任意非线性界面组成关系，包括摩擦和粘附。本文用BEM解决方案验证了该方法的线性弹性接触问题。然后，详细介绍了通过BEM和通过标准接触算法模拟的非线性接触问题的选择，以详细介绍提出的摩擦学方法的有前途的方面。
This article's main scope is the presentation of a computational method for the simulation of contact problems within the finite element method involving complex and rough surfaces. The approach relies on the MPJR (eMbedded Profile for Joint Roughness) interface finite element proposed in [arXiv:1805.07207], which is nominally flat but can embed at the nodal level any arbitrary height to reconstruct the displacement field due to contact in the presence of roughness. Here, the formulation is generalized to handle 3D surface height fields and any arbitrary nonlinear interface constitutive relation, including friction and adhesion. The methodology is herein validated with BEM solutions for linear elastic contact problems. Then, a selection of nonlinear contact problems prohibitive to be simulated by BEM and by standard contact algorithms in FEM are detailed, to highlight the promising aspects of the proposed method for tribology.
