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Solution of statistical problems in elasticity theory in the singular approximation

  • A. G. Fokin
Article

Abstract

A method of calculating elastic fields and effective moduli of microheterogeneous solids is developed in the random field theory. The solution is obtained in the form of an operator series, each term of which is constructed on the basis of the regular component of the second derivative tensor of the equilibrium Green function. The zeroth approximation of such a series consists of the local part of the interaction between inhomogeneity grains. The possibilities of the method are illustrated on the example of an isotropic mixture of two isotropic components.

Keywords

Mechanical Engineer Field Theory Industrial Mathematic Green Function Statistical Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Consultants Bureau 1974

Authors and Affiliations

  • A. G. Fokin
    • 1
  1. 1.Moscow

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