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横观各向同性材料的剪切模量

张建平

张建平. 横观各向同性材料的剪切模量[J]. 应用数学和力学, 1983, 4(3): 289-296.
引用本文: 张建平. 横观各向同性材料的剪切模量[J]. 应用数学和力学, 1983, 4(3): 289-296.
K. P. Cheng. Shear Modulus of Transversely Isotropic Materals[J]. Applied Mathematics and Mechanics, 1983, 4(3): 289-296.
Citation: K. P. Cheng. Shear Modulus of Transversely Isotropic Materals[J]. Applied Mathematics and Mechanics, 1983, 4(3): 289-296.

横观各向同性材料的剪切模量

Shear Modulus of Transversely Isotropic Materals

  • 摘要: 本文提出了一个决定横观各向同性材料的独立剪切模量的新的简单方法.给出了数学公式和推导及其解,也提出了测定仪器及其测定结果.本法曾用Green河岩层的油页岩试验过,这种油页岩就是横观各向同性材料.本文结果也和其它近似结果并和声学试验法的结果比较过.本文也用已知剪切模量的材料来校核本文的测定方法.
  • [1] LeknitskⅡ,S.G.Theory of Elasticity of an Anisotropic Elastic Body,translated by P.Fern,edited by J.J.Brandstatter,Holden-Day,Inc.,San Francisco,CA,(1963).
    [2] Chong,K.P.,K.L.Costello and J.W.Smith,Three Dimensional Characterization of the Mechanical Properties of Green River Formation Oil Shale of Wyoming’s Tipton Member,society for Experimental Stress Analysis Spring Meeting,San Francisco,CA(1979),Paper No.CR-6,20.
    [3] Chong,K.P.,K.Uenishi,J.W.Smith and A.C.Munari,Nonlinear Three-Dimensional Mechanical Characterization of oil Shale,Int.J.Rock Mech.& Mining Sci.,Pergamon Press,London,Vol.17,(1980),339-347.
    [4] Erigen,A.C.,Nonlinear Theory of Continuous Media,McGraw-Hill,(1962).
    [5] Schreiber,E.,L.A.Orson and N.Soga,Elastic Constants and Their Measurement,McGraw-Hill,(1973).
    [6] Witt,R.K.,W.H.Hoppmann,Ⅱ,and R.S.Buxbaum,Determination of Elastic Constants of Orthotropic Materials with Special Reference to Laminates,ASTM Bulletin,(1953),53-57.
    [7] Tsai,S.W.,Experimental Determination of the Elastic Behavior of Orthotropic Plates,Journal for Engineering for Industry,ASME,(1965),315-318.
    [8] Boresi,A.P.and P.P.Lynn,Elasticity in Engineering Mechanics,Prentice-Hall,(1974).
    [9] Timoshenko,S.and S.Woinosky-Krieger,Theory of Plates and shells,2nd Ed.,McGraw-Hill,(1959).
    [10] Morris,C.E.,Elastic Constants of Oil Shale.Explosively Produced Fracture of Oil Shale,compliled by W.J.Carter,LA-7164-PR,Los Alamos Scientific Lab.,Los Alamos,NM,(1978).
    [11] Podio,A.L,A.R.Gregory and K.E.Gray,Dynamic Properties of Dry and Water saturated Green River Shale under Stress,Soc.of Petroleum Engineers J.,(1968),389-404.
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出版历程
  • 收稿日期:  1982-09-09
  • 刊出日期:  1983-06-15

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