A numerical method for solving rough contact problems based on the multi-level multi-summation and conjugate gradient techniques
A numerical method for solving rough contact problems based on the multi-level multi-summation and conjugate gradient techniques
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DOI：
10.1016/s0043-1648(99)00113-1
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发表时间：
1999-07-01
期刊：
影响因子：
5
通讯作者：
Keer, LM
中科院分区：
文献类型：
--
作者：
Polonsky, IA;Keer, LM
提出了一种求解真实的粗糙表面接触问题的替代数值方法。采用基于共轭梯度法的单循环迭代法求解了真实的接触面积和接触压力分布，该方法对任意粗糙表面都是收敛的。表面挠度和次表面应力的计算使用一个替代的二维多层次的多求和算法，它允许的总和误差保持在离散化误差下的任何数量的接触点。所提出的方法是快速的：粗糙接触问题的表面样品与10（5）-10（6）的数据点在个人计算机上解决了几个小时。数值算法的详细描述，使感兴趣的读者可以实现新的接触求解器的计算机代码。数值算例表明该方法的优点。该方法与其他快速接触求解器，在过去几年中出现的。(C)1999年Elsevier Science S.A. All rights reserved.
An alternative numerical method for solving contact problems for real rough surfaces is proposed. The real area of contact and the contact pressure distribution are determined using a single-loop iteration scheme based on the conjugate gradient method, which converges for arbitrary rough surfaces. The surface deflections and subsurface stresses are computed using an alternative two-dimensional multi-level multi-summation algorithm, which allows the summation error to be kept under the discretization error for any number of contact points. The proposed method is fast: rough contact problems for surface samples with 10(5)-10(6) data points are solved on a personal computer in a few hours. The numerical algorithms are described in full detail so that an interested reader can implement the new contact solver in a computer code. Numerical examples demonstrating the method advantages are presented. The method is compared with other fast contact solvers that have emerged in the last few years. (C) 1999 Elsevier Science S.A. All rights reserved.