幂律弹性梯度半空间上刚性柱体的非滑移粘着接触
Non-slipping adhesive contact of rigid cylinder on an elastic power-law graded half-space
摘要：
本文利用弱奇异积分方程理论和正交多项式方法，研究了幂次弹性梯度半空间上刚性柱体的粘着接触问题。重点放在切向和法向之间的耦合效应，这是在以前的作品往往被忽视。我们的分析表明，耦合效应往往使接触面积最小化的压缩制度。还研究了弯矩对粘附行为的影响。与拉脱力一样，也存在一个临界弯矩，在该弯矩下圆柱体可以从基体上弯曲分离。然而，与拉脱力不同，临界弯矩对梯度材料的梯度指数不敏感。
英文摘要：
In this paper, adhesive contact of a rigid cylinder on an elastic power-law graded half-space is studied analytically with the theory of weakly singular integral equation and orthogonal polynomial method. Emphasis is placed on the coupling effect between tangential and normal directions which was often neglected in previous works. Our analysis shows that the coupling effect tends to minimize the contact area in the compressive regime. The effect of bending moment on the adhesion behavior is also examined. Like a pull-off force, there also exist a critical bending moment at which the cylinder can be bended apart from the substrate. However, unlike pull-off force, the critical bending moment is insensitive to the gradient exponent of the graded material.
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