An unbiased computational contact formulation for 3D friction
An unbiased computational contact formulation for 3D friction
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DOI：
10.1002/nme.4794
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发表时间：
2015-01
影响因子：
2.9
通讯作者：
R. Sauer;Laura De Lorenzis-Laura-De Lorenzis-2159881221
中科院分区：
文献类型：
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作者：
R. Sauer;Laura De Lorenzis-Laura-De Lorenzis-2159881221
提出并分析了一种新的大变形摩擦接触计算公式。新公式使用了两个相邻接触面的无偏处理，考虑了两个半通接触算法，最初是为无摩擦接触而导出的。因此，提出的工作引入了一些新的无偏摩擦算法。如图所示，新算法并不显式地强制接触面上的牵引连续性，而是在本质上满足其高精度。提出了一种新的三维摩擦公式，它是一维建立的直接扩展，表示用于曲线表面描述的参数空间中的摩擦变量。新公式采用连续体极限下的经典表达式。目前的方法使用基于Hermite或非均匀有理B样条插值的C1光滑接触面表示。考虑了不可穿透性约束和切向粘着约束的惩罚正则化。通过几个2D和3D示例说明了新的无偏摩擦公式，其中包括对模型参数的广泛分析，收敛性研究以及与经典的有偏主从接触算法的比较。版权所有©2014 John Wiley & Sons， Ltd。
A new computational contact formulation is presented and analyzed for large deformation frictional contact. The new formulation uses an unbiased treatment of the two neighboring contact surfaces considering the two‐half‐pass contact algorithm, originally derived for frictionless contact. The presented work thus introduces several novelties to unbiased friction algorithms. The new algorithm does not enforce traction continuity at the contact interface explicitly but rather satisfies it intrinsically to high accuracy, as is shown. A new 3D friction formulation is also proposed, which is a direct extension of the 1D setup, expressing the friction variables in the parameter space used for the curvilinear surface description. The new formulation resorts to classical expressions in the continuum limit. The current approach uses C1‐smooth contact surface representations based on either Hermite or non‐uniform rational B‐spline interpolation. A penalty regularization is considered for the impenetrability and tangential sticking constraints. The new, unbiased friction formulation is illustrated by several 2D and 3D examples, which include an extensive analysis of the model parameters, a convergence study, and the comparison with a classical biased master/slave contact algorithm. Copyright © 2014 John Wiley & Sons, Ltd.