理想传导弹性体中能量耗散的磁-热-弹性波

P·达斯; M·卡诺利亚

理想传导弹性体中能量耗散的磁-热-弹性波

P·达斯¹,
M·卡诺利亚²

1.
纳塔基沙伯哈斯工学院,加尔各答 700 152,印度;2.加尔各答大学应用数学系,加尔各答 700 009,西孟加拉邦,印度

详细信息

中图分类号: O347.4+2
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出版历程
- 收稿日期: 2008-02-14
- 修回日期: 2008-12-04
- 刊出日期: 2009-02-15

Magneto-Thermo-Elastic Waves in an Infinite Perfectly Conducting Elastic Solid With Energy Dissipation

Payel Das¹,
M. Kanoria²

1.
Netaji Subhash Engineering College, Technocity, Police Para, Panchpota, Garia, Kolkata-700 152, India;

摘要

摘要: 广义能量耗散弹性理论(TEWED，G-N Ⅲ理论)广泛应用于均匀磁场作用下的时谐平面波在无限大的理想导电弹性体中传播的研究．提出了更普遍的有复杂参数的色散方程，通过运用Leguerre方法解决复杂条件下耦合磁-热-弹性波的问题，表明耦合磁-热-弹性波问题相当于改进的膨胀波及通过有限热波速度、热弹性耦合、热扩散率及外加磁场修正的、有限速度热波的传播问题．在G-N Ⅲ模型(TEWED)中，耦合磁-热-弹性波传播时发生衰减和色散，扩散的热量由热传播方程中的阻尼项考虑，而在G-N Ⅱ模型没有发生衰减和耗散．最后给出了类铜材料的数值结果．
- 广义热弹性 /
- 磁-热-弹性波 /
- 能量耗散
Abstract: The generalized theory of thermo-elastiaty, r.e., Green and Naghdi (G-N)Ⅲ theory, with energy dissipation(TEWED) is employed in the study of time-harmonic plane wave prpagation in an unbounded, perfectly electxiically conducting elastic medium subject to primary uniform magnetic field. A more general dispersion equation with complex coefficients was obtained for coupled magneto-themlo-elastic wave which is solved in complex domain by using Leguerre's method. It is revealed that the coupled magneto-themlo-elastic wave corresponds to modified dilatational and thermal wave propagation with finite speeds modified by finite thermal wave speeds, thermo-elastic coupling, thermal diffusivity and the external magnetic field. Numerical results for a copper-like material are presented.
- generalized theimoelasticity /
- magneto-thermo-elastic wave /
- energy dissipation

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参考文献(23)

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