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Stabilized Lagrange multiplier methods for bilateral elastic contact with friction

机译:双边弹性接触摩擦的稳定拉格朗日乘数法

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In most finite element (FE) codes contact is checked only at the nodes, corresponding to the use of pointwise constraints. However, this approach might not be stable in case the bodies coming into contact have non-matching grids at the contact interface. To alleviate this problem, we propose a stabilized Lagrange multiplier method, based on a global polynomial multiplier, for the finite element solution of (non)linear elastic contact problems with non-matching grids. In particular, our approach allows us to avoid integrating products of different finite element basis functions on the surface meshes at the contact zone.
机译:在大多数有限元(FE)代码中,仅在节点上检查接触,这与使用逐点约束相对应。但是,如果要接触的物体在接触界面处具有不匹配的网格,则此方法可能不稳定。为了缓解这个问题,我们提出了一种基于全局多项式乘数的稳定拉格朗日乘子方法,用于不匹配网格的(非线性)线性弹性接触问题的有限元解。特别地,我们的方法使我们能够避免在接触区域的表面网格上积分不同有限元基础函数的乘积。

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