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Anisotropy degree of nonlinear solids

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Abstract

This research aims at the generalization of the concept of anisotropy degree of linearly elastic solids which has been defined and investigated in detail by Zhang [1988] to that of nonlinear and non-elastic solids. The properties of the anisotropy degrees defined here show that they are reasonable.

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References

  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.

    Google Scholar 

  2. Brace, W. F., Relation of elastic properties of rocks to fabric,J. Geophys. Research,70 (1965), 22–35.

    Google Scholar 

  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.

    Google Scholar 

  5. Noll, W., A new mathematical theory of simple materials,Arch. Ratl. Mech. Anal.,48 (1972), 1–50.

    Google Scholar 

  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.

    Google Scholar 

  8. Rychlewski, J., “CEIIINOSSSTTUV” mathematical structure of elastic bodies, Institute of Mechanical Problem, USSR Academy of Sciences, Preprint No: 217, Moscow (1983).

    Google Scholar 

  9. Rychlewski, J., The evaluation of anisotropy of properties described by symmetrical second order tensors,Czechoslovak J. Phys.,34 (1984), 499–506.

    Google Scholar 

  10. Rychlewski, J., Zur Abschatzung der Anisotropie,ZAMM,65 (1985), 65–258.

    Google Scholar 

  11. Rychlewski, J. and J. M. Zhang, On the anisotropy degree of linearly elastic solids,Arch. of Mech. (1989). (in press)

  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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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

    Zhang Jin-min

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  1. Zhang Jin-min
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Communicated by Chien Wei-zang

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Jin-min, Z. Anisotropy degree of nonlinear solids. Appl Math Mech 11, 239–246 (1990). https://doi.org/10.1007/BF02015204

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  • DOI: https://doi.org/10.1007/BF02015204

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