倾斜力作用下圆柱间粘性接触的双赫兹模型。
A double-Hertz model for adhesive contact between cylinders under inclined forces.
作者信息
Yan Ji-Feng, Huang Gan-Yun
机构信息
Department of Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin 300350, People's Republic of China.
出版信息
Proc Math Phys Eng Sci. 2019 Jan;475(2221):20180589. doi: 10.1098/rspa.2018.0589. Epub 2019 Jan 9.
A generalized double-Hertz (D-H) model has been proposed to consider the adhesive contact between an elastic cylinder and an elastic half space under inclined forces. The normal traction is exactly the same as that in the conventional D-H model. The shear traction of finite value is distributed into a slipping zone and a non-slipping zone. In the slipping zone, the shear traction is proportional to the compressive pressure. With the model, adhesive contact behaviour between cylinders has been numerically illustrated. The shear-induced peeling has been demonstrated. The value of the ratio for shear traction to normal traction larger than friction coefficient has been found in part of the non-slipping zone. Those altogether are consistent with experiments.
为了考虑倾斜力作用下弹性圆柱体与弹性半空间之间的粘着接触，提出了一种广义双赫兹（D-H）模型。法向牵引力与传统D-H模型中的完全相同。有限值的剪切牵引力分布在滑动区和非滑动区。在滑动区，剪切牵引力与压缩压力成正比。利用该模型，对圆柱体之间的粘着接触行为进行了数值说明。证明了剪切诱导剥离现象。在部分非滑动区发现了剪切牵引力与法向牵引力之比大于摩擦系数的值。这些结果与实验结果完全一致。
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