## 留言板

B·辛格. 磁场对液体-微伸缩固体介面波传播的影响[J]. 应用数学和力学, 2011, 32(5): 563-569. doi: 10.3879/j.issn.1000-0887.2011.05.006
 引用本文: B·辛格. 磁场对液体-微伸缩固体介面波传播的影响[J]. 应用数学和力学, 2011, 32(5): 563-569.
Baljeet Singh. Influence of Magnetic Field on Wave Propagation at Liquid-Microstretch Solid Interface[J]. Applied Mathematics and Mechanics, 2011, 32(5): 563-569. doi: 10.3879/j.issn.1000-0887.2011.05.006
 Citation: Baljeet Singh. Influence of Magnetic Field on Wave Propagation at Liquid-Microstretch Solid Interface[J]. Applied Mathematics and Mechanics, 2011, 32(5): 563-569.

## 磁场对液体-微伸缩固体介面波传播的影响

##### doi: 10.3879/j.issn.1000-0887.2011.05.006

• 中图分类号: O347.4+4

## Influence of Magnetic Field on Wave Propagation at Liquid-Microstretch Solid Interface

• 摘要: 在一个传播理想的非粘性液体半空间，和一个传播理想的微伸缩弹性固体半空间之间，研究介面处纵波的反射和透射．在两个半空间中，满足介面处必需的边界条件下，得到控制方程的适当解，是一组以不同反射和透射波振幅比表示的5个非齐次方程．以水和铝-环氧树脂合成材料介面为实际例子，用Gauss消除法的Fortran程序求解方程组．考虑存在和不存在外加横向磁场两种情况，在某些入射角范围内，计算振幅比的数值解．最后用图形给出横向磁场对不同反射和透射波振幅比的影响．
•  [1] Eringen A C. Micropolar elastic solids with stretch[J]. An Kitabevi Matbaasi, 1971，(24)：1-18. [2] Eringen A C. Theory of microstretch elastic solids[J]. International Journal of Engineering Science, 1990, 28(12): 1291-1301. [3] Eringen A C. Microcontinuum Field Theories—Ⅰ:Foundations and Solids[M]. New York： Springer-Verlag, Inc, 1999. [4] Pabst W. Micropolar materials[J]. Ceramics -Silik, 2005, 49(3)：170-180. [5] Parfitt V R, Eringen A C. Reflection of plane waves from the flat boundary of a micropolar elastic half-space[J]. Journal of Acoustical Society of America, 1969, 45(5)：1258-1272. [6] Singh B. Reflection of plane waves from free surface of a microstretch elastic solid[J]. Proceeding of Indian Academy of Sciences (Earth and Planetary Science),2002, 111(1)： 29-37. [7] Tomar S K, Garg M. Reflection and transmission of waves from a plane interface between two microstretch solid half-spaces[J]. International Journal of Engineering Science, 2005, 43(1/2)：139-169. [8] Singh D, Tomar S K. Rayleigh Lamb waves in a microstretch elastic plate cladded with liquid layers[J]. Journal of Sound and Vibration, 2007, 302(1/2)：313-331. [9] Singh B. Reflection and refraction of microstretch elastic waves at a liquid-solid interface in the presence of magnetic field[J]. Proceeding of National Academy of Sciences (India) A, 2002, 72(2)：95-108. [10] Kaliski S. Attenuation of surface waves between perfectly conducting fluid and solid in a magnetic field normal to the contact surface[J]. Proceeding of Vibrational Problems, 1963, 4 ：375. [11] Kaliski S, Nowacki W. International Union of Theoretical and Applied Mechanics[M]. Providence：Brown University, 1963. [12] Gauthier R D. Experimental investigation on micropolar media[C]Brulin O, Hsieh R K T.Mechanics of Micropolar Media. Singapore：World Scientific, 1982.
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##### 出版历程
• 收稿日期:  2010-04-19
• 修回日期:  2011-03-09
• 刊出日期:  2011-05-15

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