Fast Fourier Transform Based Numerical Methods for Elasto-Plastic Contacts of Nominally Flat Surfaces
Fast Fourier Transform Based Numerical Methods for Elasto-Plastic Contacts of Nominally Flat Surfaces
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DOI：
10.1115/1.2755158
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
W. W. Chen-W.;Shuangbiao Liu;Q. Wang
中科院分区：
文献类型：
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作者：
W. W. Chen-W.;Shuangbiao Liu;Q. Wang
本文基于表面形貌的周期性扩展性，提出了名义上平坦表面接触的三维弹塑性数值模型。该模型基于两种算法：连续卷积和傅立叶变换（CC-FT）和离散卷积和快速傅立叶变换（DC-FFT），并通过重复填充进行修改。该模型考虑了粗糙体相互作用的影响，并详细描述了弹塑性固体与粗糙表面接触引起的次表面应力和应变场。本文给出了弹塑性应力和残余位移频响函数的计算公式。通过将数值结果与几种解析解进行比较，验证了该模型的正确性。利用该模型模拟了二维波浪形表面与工程粗糙表面的接触，以考察其评价名义上平坦表面弹塑性接触行为的能力。
This paper presents a three-dimensional numerical elasto-plastic model for the contact of nominally flat surfaces based on the periodic expandability of surface topography. This model is built on two algorithms: the continuous convolution and Fourier transform (CC-FT) and discrete convolution and fast Fourier transform (DC-FFT), modified with duplicated padding. This model considers the effect of asperity interactions and gives a detailed description of subsurface stress and strain fields caused by the contact of elasto-plastic solids with rough surfaces. Formulas of the frequency response functions (FRF) for elastic/plastic stresses and residual displacement are given in this paper. The model is verified by comparing the numerical results to several analytical solutions. The model is utilized to simulate the contacts involving a two-dimensional wavy surface and an engineering rough surface in order to examine its capability of evaluating the elasto-plastic contact behaviors of nominally flat surfaces.