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地震 ›› 2008, Vol. 28 ›› Issue (2): 46-53.

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热弹性介质中波的一类反射问题的解

胡顺田, 刘文堂, 李军, 熊仲华, 赵永安   

  1. 防灾科技学院, 河北 三河燕郊 065201
  • 收稿日期:2007-10-24 修回日期:2007-12-06 出版日期:2008-04-30 发布日期:2021-10-29
  • 作者简介:胡顺田(1963-), 男, 河北雄县人, 副教授, 主要从事数学和应用等研究。
  • 基金资助:
    河北省教育厅2002年自然科学研究指导性计划项目(Z2002105)

The solution of a type of reflection problem of wave in the thermoelastic medium

HU Shun-tian, LIU Wen-tang, LI Jun, XIONG Zhong-hua, ZHAO Yong-an   

  1. Institute Of Disaster Prevention Science and Technology, Yanjiao 065201, China
  • Received:2007-10-24 Revised:2007-12-06 Online:2008-04-30 Published:2021-10-29

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摘要： 研究了热弹性波的一类反射问题, 就热弹性波的两种基本形式求得一类直反射问题及一类斜反射问题的解。 结果表明, 热弹性波的反射系数、 折射系数不仅依赖于介质的性质, 还依赖于波的频率; 热弹性波的复反射系数及复折射系数使其在界面两侧的相位和附加温度场都出现跃变。

关键词: 热弹性波, 反射系数, 折射系数, 跃变

Abstract: In this paper, the authors study the first type of reflection problem of thermoelastic wave. Based on two kinds of basic forms of thermoelastic wave, the solution of the first type of straight reflection and the first type of diagonal reflection is obtained. The results show that the reflection coefficient and the refraction coefficient of thermoelastic wave depend on the medium property and the wave frequency, the complex reflection coefficient and the complex refraction coefficient of thermoelastic wave make its phase of two sides of the interface and the additional temperature field abruptly variable.

Key words: Thermoelastic wave, Reflection coefficient, Refraction coefficient, Abruptly variable

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