Analytical solution of elastic deformations inside and outside circular contact area between tilted rigid punch and elastic half space
Analytical solution of elastic deformations inside and outside circular contact area between tilted rigid punch and elastic half space
复制标题
DOI：
10.1007/s00707-019-02505-9
复制
发表时间：
2019-09
期刊：
影响因子：
2.7
通讯作者：
Y. Iguchi;P. Hemthavy;S. Saito;Kunio Takahashi
中科院分区：
文献类型：
--
作者：
Y. Iguchi;P. Hemthavy;S. Saito;Kunio Takahashi
本文提出了一个分析模型的Boussinesq问题之间的倾斜刚性冲头和弹性半空间，使内部和外部的接触区域的弹性变形的分析。在接触区域内，施加两种类型的压力分布：一种产生平坦的弹性变形，另一种产生倾斜的弹性变形。由于弹性变形是非轴对称的，因此该弹性变形的投影根据观察到的水平方向而变化。为了计算非轴对称弹性变形的积分，我们使用具有两个角坐标的极坐标系，这可以使得能够计算任意点处的积分。该模型可以得到任意方向上接触区域内外的压力分布与弹性变形之间的关系。此外，法向载荷和扭矩施加在接触区域内，并使用接触半径和弹性模量归一化这些参数。在接触边缘附近的零压力点处，弹性变形是平滑的。
This paper proposes an analytical model for the Boussinesq problem between a tilted rigid punch and an elastic half space to enable the analysis of elastic deformations inside and outside a contact area. Inside the contact area, two types of pressure distributions are applied: one generates a flat elastic deformation, and the other produces a tilted elastic deformation. The projection of this elastic deformation varies depending on the observed horizontal direction because the elastic deformation is non-axisymmetric. To calculate integrals for the non-axisymmetric elastic deformation, we use the polar coordinate system with two angular coordinates, which can enable the calculation of an integral at any arbitrary point. The proposed model can obtain the relationship between the pressure distribution and the elastic deformations inside and outside a contact area from any arbitrary direction. In addition, the normal load and torque applied inside the contact area are obtained, and these parameters are normalized using the contact radius and the elastic modulus. At the zero-pressure point around the contact edge, the elastic deformation is smooth.