耦合横向和微旋转波的界面反射与折射  

Reflection and Refraction of Coupled Transverse and Micro-Rotational Wave at Interface of Two Micropolar Elastic Solid

作　　者：徐红玉[1] 薛冰冰[2] 梁斌[1] 孙清勇[1] 

机构地区：[1]河南科技大学规划与建筑工程学院,河南洛阳471003 [2]河南科技大学电子信息工程学院,河南洛阳471003

出　　处：《北京理工大学学报》2011年第9期1066-1070,共5页Transactions of Beijing Institute of Technology

基　　金：国家自然科学基金资助项目(51075124)

摘　　要：基于广义微极磁热弹模型讨论了两微极弹性固体介质平面界面上耦合横向和微旋转波的反射与折射问题.利用两微极弹性固体平面分界面上位移和应力连续条件,建立了反射与折射波振幅的线性系统方程.数值计算给出各类反射、折射波振幅随耦合横向和微旋转波入射角的变化关系曲线.研究了热松弛时间对反射和折射热波、纵向位移波、耦合横向和微旋转波的振幅比的影响.结果表明,热松弛时间对热波、纵向位移波影响显著,而对耦合横向和微旋转波影响很小.Based on the model of generalized micropolar magneto-thermo-elasticity, the reflective and refractive behaviors of coupled transverse and micro rotational wave were discussed at a plane interface between two micropolar solid mediums in the presence of a constant magnetic field. Using continuous conditions of displacement and stress at the interface, the linear system equation to compute the amplitudes of the refection and refraction waves was derived. The relations of amplitude ratios of reflected and refracted thermal waves to the incident angle of coupled transverse and micro-rotational waves were studied. The effects of thermal relaxation were discussed according to the C-D coupling theory,G-L theory and L-S theory. The numerical results show that the effect of thermal relaxation time is very significant on thermal waves and longitudinal displacement waves. However there is almost no effect of thermal relaxation time on coupled transverse and micro-rotational wave.

关 键 词：广义微极磁热弹性 耦合横向和微旋转波 反射 折射 振幅比 热松弛时间 

分 类 号：O343.6[理学—固体力学]