Sliding Contact Between a Cylindrical Punch and a Graded Half-Plane With an Arbitrary Gradient Direction

Sliding Contact Between a Cylindrical Punch and a Graded Half-Plane With an Arbitrary Gradient Direction
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圆柱冲头与任意梯度方向的梯度半平面的滑动接触

DOI:
10.1115/1.4029781
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发表时间:
2015-04
影响因子:
2.6
通讯作者:
Peng Juan
Peng Juan
中科院分区:
工程技术4区
文献类型:
--
作者:
Chen Peijian;Chen Shaohua;Peng Juan

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研究了刚性圆柱冲头在剪切模量梯度沿任意方向变化的弹性梯度半平面上滑动时的接触行为。通过傅立叶积分变换得到了控制偏微分方程和边界条件。其结果是,目前的问题是减少到第二类奇异积分方程,它可以数值求解。此外,目前的一般模型可以很好地退化到特殊情况下的横向梯度半平面和均匀的。采用不同的材料参数预测接触区域的正应力,通常用于估计表面裂纹萌生的可能性。进一步预测了保证圆柱凸模在接触面上稳定滑动所需的力矩。本文的研究结果对设计具有强耐磨表面的新型梯度材料具有一定的指导意义。
Contact behavior of a rigid cylindrical punch sliding on an elastically graded half-plane with shear modulus gradient variation in an arbitrary direction is investigated. The governing partial differential equations and the boundary conditions are achieved with the help of Fourier integral transformation. As a result, the present problem is reduced to a singular integral equation of the second kind, which can be solved numerically. Furthermore, the presently general model can be well degraded to special cases of a lateral gradient half-plane and a homogeneous one. Normal stress in the contact region is predicted with different material parameters, which is usually used to estimate the possibility of surface crack initiation. The moment that is needed to ensure stable sliding of the cylindrical punch on the contact surface is further predicted. The result in the present paper should be helpful for the design of novel graded materials with surfaces of strong abrasion resistance.
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