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首页> 外文会议>World Tribology Congress III vol.1; 20050912-16; Washington,DC(US) >CONTACT PROBLEMS AND NANOINDENTATION TESTS FOR INDENTERS OF NON- IDEAL SHAPES AND EFFECTS OF MOLECULAR ADHESION
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CONTACT PROBLEMS AND NANOINDENTATION TESTS FOR INDENTERS OF NON- IDEAL SHAPES AND EFFECTS OF MOLECULAR ADHESION

机译：非理想形状的接触问题和纳米压痕测试以及分子粘附效应

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Depth-sensing nanoindentation, when the displacement the indenter is continuously monitored is widely used for analysis and estimations of mechanical properties of materials. Starting from pioneering papers by Bulychev, Alekhin, Shorshorov and their co-workers, nanoindentation tests are connected with Hertzian contact problems and the frictionless BASh relation is commonly used for evaluation of elastic modulus of materials. We discuss further the connections between Hertz type contact problems and nanoindentation tests and derive fundamental relations for depth-sensing nanoindentation for indenters of various shapes and for various boundary conditions within the contact region. For the loading branch, relations are derived among depth of indentation, size of the contact region, load, hardness, and contact area, using authors' scaling formulae. The relations are valid for indenters of non-ideal shapes, whose shape function is a monomial function an arbitrary degree d, in particular for blunted pyramidal indenters when 1 < d < 2. We show that some uncertainties in nanoindentation measurements, which are sometimes attributed to properties of the material, can be explained and quantitatively described by properly accounting for geometric deviation of the indenter tip from its nominal geometry. Then relation is derived for the slope of the unloading branch of adhesive (no-slip) indentation. The relation is analogous the frictionless BASh relation and it is independent of the geometry of the indenter. Further, the JKR theory of contact the presence offerees of molecular adhesion is extended to describe contact between a monomial indenter of an arbitrary degree d and an elastic sample. Finally, some exact formulae are obtained for adhesive contact (both the no-slip contact and the contact in the presence of molecular adhesive forces) between indenters and isotropic, linear elastic materials. In particular, it is shown that the BASh formula is still valid for contact between a flat punch and a soft elastic sample in the presence of molecular adhesive forces (the Boussinesq-Kendall problem).
机译：当连续监测压头位移时，深度感应纳米压痕被广泛用于分析和评估材料的机械性能。从Bulychev，Alekhin，Shorshorov及其同事的开创性论文开始，纳米压痕测试与赫兹接触问题相关，无摩擦BASh关系通常用于评估材料的弹性模量。我们进一步讨论了Hertz型接触问题与纳米压痕测试之间的联系，并得出了深度感应纳米压痕的基本关系，这些深度压痕适用于各种形状的压头以及接触区域内的各种边界条件。对于加载分支，使用作者的缩放公式得出压痕深度，接触区域大小，载荷，硬度和接触面积之间的关系。该关系对于非理想形状的压头有效，其形状函数是任意多项式d的单项函数，特别是当1

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