The hertzian contact surface
The hertzian contact surface
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DOI：
10.1023/a:1004490230078
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发表时间：
1999-01-01
影响因子：
4.5
通讯作者：
Fischer-Cripps, AC
中科院分区：
文献类型：
--
作者：
Fischer-Cripps, AC
人们很容易接受由众所周知的赫兹方程给出的关于两个弹性体接触的压痕深度和接触圆半径的预测。然而，通过实验或独立计算来检验这些预测仍然很有趣。压痕深度可以很容易地比较使用标准的实验装置，但在本文中，注意到的曲率半径的压痕表面的满负荷的条件。从赫兹方程得出的结论，即一个平面和一个半径为R的非刚性压头之间的接触等效于平面和一个半径更大的完全刚性压头之间的接触，迄今为止还没有在文献中详细研究过，这可能是因为当载荷施加到压头上时，很难在现场测量这种曲率半径。两个固体之间的接触的这个特征是令人感兴趣的，因为它经常被用作涉及弹塑性接触的各种硬度理论的基础。本文针对弹性接触和弹塑性接触，利用有限元法计算接触面的曲率半径。它示出，压痕涉及内的任一或两个试样和压头的弹塑性变形是等效的压痕与一个完全刚性的球形压头的半径是稍微小于使用赫兹方程计算的弹性接触。实验顺应性响应被用来间接验证有限元结果。(C)1999 Kluwer Academic Publishers.
It is tempting to accept the predictions regarding indentation depth and radius of circle of contact between two elastic bodies in contact given by the well-known Hertz equations at face value. However, it is nevertheless of interest to examine these predictions either by experiment or by independent computation. Indentation depth may be readily compared using standard experimental apparatus but in this paper, attention is given to the radius of curvature of the indented surface for a condition of full load. The conclusion arising from the Hertz equations, that contact between a flat surface and a non-rigid indenter of radius R is equivalent to that between the flat surface and a perfectly rigid indenter of a larger radius, has not thus far been examined in detail in the literature, possibly because of the difficulty in measuring such a radius of curvature in situ while load is applied to the indenter. This feature of contact between two solids is of interest since it has been often used as the basis for various hardness theories which involve an elastic-plastic contact. This paper addresses the issue by utilizing the finite-element method to compute the radius of curvature of the contact surface for both elastic and elastic-plastic contacts. It is shown that indentations involving elastic-plastic deformations within either or both the specimen and the indenter are equivalent to indentations with a perfectly rigid spherical indenter whose radius is somewhat smaller than that calculated using the Hertz equations for elastic contact. An experimental compliance response is used to indirectly validate the finite-element results. (C) 1999 Kluwer Academic Publishers.