摘要
研究了脉冲波在一般各向异性介质摩擦接触界面上的反射和折射问题.限于小于临界角入射的情况.利用Fourier分析方法将非线性Coulomb摩擦接触边界波动问题化为一组代数方程.给出了确定局部分离、滑移和粘着区的思路和方法及各区域的解并以抛物线型应力脉冲为例进行了详细的计算.对相同介质的两半无限各向异性体给出了界面力、张开位移和相对滑移速度的数值结果.
Reflection and refraction of an elastic pulse at a frictional contact interface between two anisotropic media is studied theoretically in this paper. The analysis is limited in the case of sub_critical angle incidence. Fourier analysis is used to cast the considered non_linear wave problem with unilateral Coulomb frictional boundaries to a set of algebraic equations with a simple form. A method to get the solution of the equations with determination of the separation/slip/stick zones is developed. As an example, the detailed computation for the case of an incident parabolic stress pulse is carried out. Numerical results of the interface tractions and the slip velocities are presented for two contacting half_spaces of the same materials in the same orientation.
出处
《北方交通大学学报》
CSCD
北大核心
2004年第1期1-4,共4页
Journal of Northern Jiaotong University
基金
国家自然科学基金资助项目(49974007)
北方交通大学"十五"专项基金(2002SM010)
关键词
固体力学
各向异性
摩擦
接触界面
弹性波
边界非线性
solid mechanics
anisotropy
friction
contact interface
elastic wave
boundary non-linearity