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非线性固体的各向导性程度

张进敏

张进敏. 非线性固体的各向导性程度[J]. 应用数学和力学, 1990, 11(3): 226-232.
引用本文: 张进敏. 非线性固体的各向导性程度[J]. 应用数学和力学, 1990, 11(3): 226-232.
Zhang Jin-min. Anisotropy Degree of Nonlinear Solids[J]. Applied Mathematics and Mechanics, 1990, 11(3): 226-232.
Citation: Zhang Jin-min. Anisotropy Degree of Nonlinear Solids[J]. Applied Mathematics and Mechanics, 1990, 11(3): 226-232.

非线性固体的各向导性程度

Anisotropy Degree of Nonlinear Solids

  • 摘要: 这篇文章目的在于将在Rychlewski和张进敏(1988)中得到详细研究的线弹性体各向异性度的概念推广到非线性非弹性体.所定义的各向异性度的良好特性说明了其合理性.
  • [1] Alexandrov,K.S.,T.V.Ryshora,B.R.Belikov and L.A.Shabanova,Anisotropy of elastic properties of rock,Int.Geol.Rev.,11,(1969),539-548.
    [2] Brace,W.F.,Relation of elastic properties of rocks to fabric,J.Geophys.Research,70(1965),22-35.
    [3] Lama,R.D.and V.S.Vutukuri,Handbook on Mechanical Properties of Rocks,Vol.II,Trans.Tech.Publ.(1978).
    [4] Lekhnitskii,S.G.,Stress distribution close to a horizontal working of elliptical shape in a transversely mass with inclined planes of isotropy,Mech.Solids,1,(1966),35-41.
    [5] Noll,W.,A new mathematical theory of simple materials,Arch.Ratl.Mech.Anal.,48(1972),1-50.
    [6] Nye,J.F.,Physical Properties of Crystals,Oxford Clarendon Press(1957).
    [7] Pros,Z and V.Babuska,Method for investigating the elastic anisotropy on spherical rock samples,Zhur.Geophys.,33(1967),298-316.
    [8] Rychlewski,J.,"CEIIINOSSSTTUV" mathematical structure of elastic bodies,Institute of Mechanical Problem,USSR Academy of Sciences,Preprint No:217,Moscow(1983).
    [9] Rychlewski,J.,The evaluation of anisotropy of properties described by symmetrical second order tensors,Czechoslovak J.Phys.,34(1984),499-506.
    [10] Rychlewski.J.,Zur Abschatzung der Anisotropie,ZAMM,65(1985),65-258.
    [11] Rychlewski.J.and J.M.Zhang,On the anisotropy degree of linearly elastic solids,Arch,of Mech.(1989).
    [12] Zhang,J.M.On the symmetry and insensitivity of simple materials,Ph.D.Dissertation,Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University of Technology(1988).
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出版历程
  • 收稿日期:  1988-06-30
  • 刊出日期:  1990-03-15

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