Abstract

A new curvature, called the squircle, is proposed as a punch profile to provide superior contact performance for bulk elastic materials. Plane contact problems of a rigid squircle-shaped punch pressed onto an elastic half-plane are treated via an integral equation (IE) approach which is evidently substantiated by a finite element (FE) approach. Compared to the piecewise-defined curvatures, the continuous surface gradient of the squircle profile enables the IE formulations more tractable. In the presence of sliding friction, the consistency condition in the IE approach is implemented through a new iteration procedure. Subsurface stresses are demonstrated via the FE approach. The squircle punch profile is shown to induce a low-magnitude and smoother pressure distribution on an elastic surface, promising to cause less wear under the action of tangential oscillations.

摘要

提出了一种称为鼠形的新曲率作为冲头轮廓，以为块状弹性材料提供卓越的接触性能。通过积分方程 (IE) 方法处理压在弹性半平面上的刚性鼠形冲头的平面接触问题，该方法显然由有限元 (FE) 方法证实。与分段定义的曲率相比，鼠形轮廓的连续表面梯度使 IE 公式更易于处理。在存在滑动摩擦的情况下，IE 方法中的一致性条件通过新的迭代过程实现。次表面应力通过有限元方法进行演示。鼠形冲压轮廓显示在弹性表面上引起低量级和更平滑的压力分布，