Srivastava Abhishek, Hui Chung-Yuen
Field of Theoretical and Applied Mechanics, Sibley School of Mechanical and Aerospace Engineering , Cornell University , Ithaca, NY 14853, USA.
Proc Math Phys Eng Sci. 2013 Dec 8;469(2160):20130424. doi: 10.1098/rspa.2013.0424.
In part I of this work, we study adhesionless contact of a long rectangular elastic membrane with a rigid substrate. Our model is based on finite strain theory and is valid for arbitrarily large deformations. Both frictionless and no-slip contact conditions are considered. Exact closed form solutions are obtained for frictionless contact. For small contact, the differences between these two contact conditions are small. However, significant differences occur for large contacts. For example, frictionless contact predicts a maximum pressure (and contact region) beyond which there is no solution; while the no-slip model places no restriction on both quantities. The effect of adhesion will be considered in part II of this work.
在本研究的第一部分，我们研究了长矩形弹性膜与刚性基底之间的无粘附接触。我们的模型基于有限应变理论，适用于任意大变形。同时考虑了无摩擦和无滑移接触条件。对于无摩擦接触，得到了精确的封闭形式解。对于小接触，这两种接触条件之间的差异很小。然而，对于大接触，会出现显著差异。例如，无摩擦接触预测存在一个最大压力（和接触区域），超过该值就没有解；而无滑移模型对这两个量都没有限制。粘附的影响将在本研究的第二部分中考虑。
