留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

复合多层介质在可变温度和集中荷载作用下的位移和应力

M·K·戈西 M·卡诺瑞阿

M·K·戈西, M·卡诺瑞阿. 复合多层介质在可变温度和集中荷载作用下的位移和应力[J]. 应用数学和力学, 2007, 28(6): 724-734.
引用本文: M·K·戈西, M·卡诺瑞阿. 复合多层介质在可变温度和集中荷载作用下的位移和应力[J]. 应用数学和力学, 2007, 28(6): 724-734.
M. K. Ghosh, M. Kanoria. Displacements and Stresses in a Composite Mult-Layered Media Due to Varying Temperature and Concentrated Load[J]. Applied Mathematics and Mechanics, 2007, 28(6): 724-734.
Citation: M. K. Ghosh, M. Kanoria. Displacements and Stresses in a Composite Mult-Layered Media Due to Varying Temperature and Concentrated Load[J]. Applied Mathematics and Mechanics, 2007, 28(6): 724-734.

复合多层介质在可变温度和集中荷载作用下的位移和应力

详细信息
  • 中图分类号: O343.6

Displacements and Stresses in a Composite Mult-Layered Media Due to Varying Temperature and Concentrated Load

  • 摘要: 研究了多层介质中的热弹性位移和应力.多层介质具有不同厚度,各层又具有不同的弹性性质, 最上层表面上作用热荷载和集中荷载.假设各层分别是均匀、各向同性弹性材料,各层相关的位移分量是轴对称的,对称轴为各层表面的垂线.因此,各层应力函数满足无体力的单一方程.利用积分变换法求解了该方程,对由任意多个层数构造的多层介质,给出了其相应层数基础热弹性位移和应力的解析表达式.并对3层介质和4层介质时的数值结果进行了比较.
  • [1] Burmister D M. Theory of stresses and displacements in layered systems and application to the design of airport runways[A].In:Proc 23rd Annual Meeting of the Highway Research Board[C].23.Washington D C:Highway Research Board,1943,126-148.
    [2] Burmister D M. The General Theory of stresses and displacements in layered soil systems[J].J Appl Phy,1945,16(5):296. doi: 10.1063/1.1707590
    [3] Pickett G. Stress distribution in a loaded soil with some rigid boundaries[A].In:Proc 18th Annual Meeting of the Highway Research Board[C].18(2).Washington D C:Highway Research Board,1938,35-48.
    [4] Paria G. Elastic Stress Distribution in a three-layered system due to a concentrated force[J].Bull Cal Math Soc,1956,48:75-81.
    [5] Das B, Das A. Thermo-elastic stress distribution in three-layered system[J].Proc Nat Sci Ind A,2001,71(1):21.
    [6] Wang Y H, Tham L G, Tsui Y,et al.Plate on layered foundation analyzed by a semi-analytical and semi-numerical method[J].Computers and Geotechnics,2003,30(5):409-418. doi: 10.1016/S0266-352X(03)00014-4
    [7] Boiton P,et al.Experimental determination and numerical modelling of solid-liquid interface shapes for vertical Bridgman grown GaSb crystals[J].J Cryst Growth,1998,194(1):43-52. doi: 10.1016/S0022-0248(98)00617-4
    [8] Love A E H.A Treatise on the Mathematical Theory of Elasticity[M].4th Ed.New York:Dover Publications,1944.
    [9] Nowacki W.Thermoelasticity[M].2nd Ed. Pergamon Press, 1986.
    [10] Sneddon I N.Fourier Transforms[M].New York: McGraw-Hill Book Co, Inc, 1951.
    [11] International Critical Table of Numerical Data[Z]. N R C, USA, New York :McGraw-Hill Book Co, Inc, 1972.
  • 加载中
计量
  • 文章访问数:  2793
  • HTML全文浏览量:  143
  • PDF下载量:  568
  • 被引次数: 0
出版历程
  • 收稿日期:  2006-05-23
  • 修回日期:  2007-03-16
  • 刊出日期:  2007-06-15

目录

    /

    返回文章
    返回