Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Estimating the degree of anisotropy of elastic media

Abstract

The refraction curves, wave-front geometry, and changes taking place in these characteristics on varying the elastic constants of anisotropic media over wide ranges are analyzed. A quantitative criterion is derived for estimating the number and disposition of the lacunas, the properties of the roots of the characteristic equation, and other important characteristics of the medium.

This is a preview of subscription content, log in to check access.

Literature cited

  1. 1.

    A. E. Love, Mathematical Theory of Elasticity [Russian translation], Gostekhizdat, Moscow (1935).

  2. 2.

    R. G. Payton, “Two-dimensional wave front shape induced in a homogeneously strained elastic body by a point perturbing body force,” ARTA,32, No. 4 (1969).

  3. 3.

    V. S. Budaev, “Propagation of vibrations from a concentrated pulse source in an anisotropic medium” Prikl. Mekh.,9, No. 2 (1973).

  4. 4.

    V. S. Budaev, “A boundary problem in the dynamics of elastic anisotropic media,” in: Dynamics of Continuous Media [in Russian], No. 14, Izd. Inst. Gidrodinam. Sibirsk. Akad. Nauk SSSR, Novosibirsk (1973).

  5. 5.

    V. S. Budaev, “A boundary problem in the dynamic theory of elastic anisotropic media,” Zh. Prikl. Mekh. Tekh. Fiz., No. 3 (1974).

  6. 6.

    L. D. Landau and E. M. Lifshits, Theory of Elasticity, Addison-Wesley (1971).

  7. 7.

    H. Schulze, Metal Physics [Russian translation], Mir, Moscow (1971).

Download references

Author information

Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 163–171, July–August, 1975.

The author wishes to thank S. A. Khristianovich for interest in this work.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Budaev, V.S. Estimating the degree of anisotropy of elastic media. J Appl Mech Tech Phys 16, 618–625 (1975). https://doi.org/10.1007/BF00858307

Download citation

Keywords

  • Anisotropy
  • Mathematical Modeling
  • Mechanical Engineer
  • Refraction
  • Elastic Constant