The stress concentration factor for slightly roughened random surfaces: Analytical solution

H. Medina; B. Hinderliter

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The stress concentration factor for slightly roughened random surfaces: Analytical solution

机译：稍微粗糙的随机表面的应力集中系数：解析解

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We derive an analytical solution to the stress concentration factor (k_t) for slightly roughened random surfaces. Topology is assumed to possess Gaussian distribution of heights and auto correlation length, ACL. For our development, we combine Gao’s first-order perturbation method, the Hilbert transform, and an energy conservation principal related to the Parseval theorem.The root-mean-square (RMS) value of kt results in a function of the ratio RMS-roughness to ACL. The derived formula agrees with experimental results previously reported. The results provide insight for more efficient design.

机译：我们为稍微粗糙的随机表面导出了应力集中系数（k_t）的解析解。假定拓扑具有高度的高斯分布和自相关长度ACL。为了我们的发展，我们结合了高一阶摄动法，希尔伯特变换和与Parseval定理有关的能量守恒原理.kt的均方根（RMS）值是RMS粗糙度比的函数到ACL。推导的公式与先前报道的实验结果一致。结果为更有效的设计提供了见识。

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《International Journal of Solids and Structures》 |2014年第10期|共7页
作者
H. Medina; B. Hinderliter;
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原文格式 PDF
正文语种 eng
中图分类固体力学;
关键词
Stress concentration factor; Random rough surfaces; Analytical solution;

机译：应力集中系数;随机粗糙表面;解析解;

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1. The stress concentration factor for slightly roughened random surfaces: Analytical solution [J] . H. Medina, B. Hinderliter International Journal of Solids and Structures . 2014,第10期

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The stress concentration factor for slightly roughened random surfaces: Analytical solution

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