Self-affine roughness effects on the contact area between elastic bodies

Self-affine roughness effects on the contact area between elastic bodies
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DOI:
10.1063/1.1528300
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发表时间:
2003-01
影响因子:
3.2
通讯作者:
G. Palasantzas;J. D. Hosson
G. Palasantzas;J. D. Hosson
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
G. Palasantzas;J. D. Hosson

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我们计算了弹性体与自仿射粗糙表面的真实接触面积,用傅立叶空间中的解析关联模型来描述。研究发现,粗糙度对实际接触面积A(λ)有很大的影响,在横向长度尺度λ上与面内粗糙度关联长度ξ相当,对于超出线性区域的重要外加载荷σo(或A∝σo)。粗糙度指数H的影响可能相当复杂,这取决于粗糙度相关长度ξ相对于考虑接触面积的横向长度刻度λ的相对大小。最后,我们还表明,仅基于自仿射粗糙度谱的幂函数近似来描述粗糙度的影响是相当不够的,特别是对于大的粗糙度指数H(>0.5)。
We have calculated the real contact area between elastic bodies with self-affine rough surfaces, which are described in terms of analytical correlation models in Fourier space. It is found that the roughness has a strong influence on the real contact area A(λ) at lateral length scales λ which are comparable with the in-plane roughness correlation length ξ, and for significant applied loads σo beyond the linear regime (or A∝σo). The effect of the roughness exponent H can be rather complex, depending on the relative magnitude of the roughness correlation length ξ with respect to the lateral length scale λ where the contact area is considered. Finally, we also show that descriptions of the influence of the roughness that is only based on power law approximations of the self-affine roughness spectrum are rather insufficient, especially for large roughness exponents H (>0.5).