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Prediction of the effective elastic properties of spheroplastics by the generalized self-consistent method

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Abstract

The problem of predicting the effective elastic properties of composites with prescribed random location and radius variation in spherical inclusions is solved using the generalized self-consistent method. The problem is reduced to the solution of the averaged boundary-value problem of the theory of elasticity for a single inclusion with an inhomogeneous transition layer in a medium with desired effective elastic properties. A numerical analysis of the effective properties of a composite with rigid spherical inclusions and a composite with spherical pores is carried out. The results are compared with the known solution for the periodic structure and with the solutions obtained by the standard self-consistent methods.

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Authors
  1. A. A. Pan’kov
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Additional information

Perm’ State Technical University, Perm’ 614600. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 3, pp. 186–190, May–June, 1999.

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Pan’kov, A.A. Prediction of the effective elastic properties of spheroplastics by the generalized self-consistent method. J Appl Mech Tech Phys 40, 523–526 (1999). https://doi.org/10.1007/BF02468411

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  • DOI: https://doi.org/10.1007/BF02468411

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