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松弛时间对热弹性扩散板中环形峰波的影响

R·库玛 T·坎赛

R·库玛, T·坎赛. 松弛时间对热弹性扩散板中环形峰波的影响[J]. 应用数学和力学, 2010, 31(4): 463-471. doi: 10.3879/j.issn.1000-0887.2010.04.008
引用本文: R·库玛, T·坎赛. 松弛时间对热弹性扩散板中环形峰波的影响[J]. 应用数学和力学, 2010, 31(4): 463-471. doi: 10.3879/j.issn.1000-0887.2010.04.008
Rajneesh Kumar, Tarun Kansal. Effect of Relaxation Times on Circular Crested Waves in Thermoelastic Diffusive Plate[J]. Applied Mathematics and Mechanics, 2010, 31(4): 463-471. doi: 10.3879/j.issn.1000-0887.2010.04.008
Citation: Rajneesh Kumar, Tarun Kansal. Effect of Relaxation Times on Circular Crested Waves in Thermoelastic Diffusive Plate[J]. Applied Mathematics and Mechanics, 2010, 31(4): 463-471. doi: 10.3879/j.issn.1000-0887.2010.04.008

松弛时间对热弹性扩散板中环形峰波的影响

doi: 10.3879/j.issn.1000-0887.2010.04.008
基金项目: 印度科学和工业研究委员会(CSIR)资助项目
详细信息
  • 中图分类号: O343.6

Effect of Relaxation Times on Circular Crested Waves in Thermoelastic Diffusive Plate

  • 摘要: 在不同热弹性扩散理论的框架中,无应力作用、恒温/绝热、化学势条件下,研究了均匀、横观各向同性无穷板中热弹性扩散环形峰波的传播.得到了热弹性扩散Lamb型波的色散方程.同时推演出色散方程的一些特例.
  • [1] Lord H W, Shulman Y. A generalized dynamical theory of thermoelasticity[J]. J Mech Phys Solid, 1967, 15(5):299-309. doi: 10.1016/0022-5096(67)90024-5
    [2] Green A E, Lindsay K A. Thermoelasticity[J]. J Elasticity, 1972, 2(1):1-7. doi: 10.1007/BF00045689
    [3] Sharma J N, Singh D. Circular crested thermoelastic waves in homogeneous isotropic plates[J]. J Thermal Stresses, 2002, 25(12):1179-1193. doi: 10.1080/01495730290074595
    [4] Sharma J N, Pathania V, Gupta S K. Circular crested waves in anisotropic thermoelastic plates bordered with inviscid liquid[J]. Int J Engg Sci, 2004, 42(2):99-121. doi: 10.1016/S0020-7225(03)00286-6
    [5] Sharma J N, Walia V. Straight and circular crested Lamb waves in generalized piezothermoelastic plates[J]. J Thermal Stresses, 2006, 29(6):2006.
    [6] Kumar R, Pratap G. Circular crested waves in a micropolar elastic plate[J]. Sci Engg Comp Mat, 2007, 14(4):251-269. doi: 10.1515/SECM.2007.14.4.251
    [7] Aouadi M. Generalized theory of thermoelastic diffusion for anisotropic media[J]. J Thermal Stresses, 2008, 31(3):270-285. doi: 10.1080/01495730701876742
    [8] 库玛·R, 坎赛·T. 横观各向同性广义热弹性扩散Rayleigh波在自由表面上的传播[J]. 应用数学和力学, 2008, 29(11):1314-1324.
    [9] Kolsky H. Stress Waves in Solids[M]. New York: Dover Publications, 1963.
    [10] Kumar R, Kansal T. Propagation of Lamb waves in transversely isotropic thermoelastic diffusive plate[J]. Int J Sol Stru, 2008, 45(22/23):5890-5913. doi: 10.1016/j.ijsolstr.2008.07.005
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出版历程
  • 收稿日期:  1900-01-01
  • 修回日期:  2009-12-12
  • 刊出日期:  2010-04-15

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