Combustion, Explosion and Shock Waves

, Volume 28, Issue 4, pp 430–436 | Cite as

Dynamic strain model for a fibrous thermoviscoelastic composite

  • A. D. Resnyanskii
  • E. I. Romenskii
Article

Abstract

A model of a fibrous homogeneous thermoviscoelastic composite is obtained with the aid of a phenomenological averaging procedure using only phase properties. The system of dynamic equations of the composite is closed by an equation of state (elastic potential) which is used to compute the stresses and temperature. These equations satisfy the Onsager symmetry principle and are thermodynamically correct. The derivation of the equations does not use the assumption that the fiber distribution is regular or that the relaxation time is constant; thus the kinetic coefficients can depend on the state of the material.

Keywords

Dynamical System Mechanical Engineer Relaxation Time Dynamic Equation Average Procedure 
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Literature Cited

  1. 1.
    E. I. Romenskii and A. D. Resnyanskii, “Viscoelastic model of a composite considering microstresses,” Preprint No. 14 [in Russian] of the Mathematics Department, Siberian Department of the Academy of Sciences, Novosibirsk (1990).Google Scholar
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    E. I. Romensky (Romenskii), A. D. Resnyansky (Resnyanskii), and L. A. Merzhievsky (Merzhievskii), “Model of viscoelastic composites,” J. de Physique IV,1, No. C3, 923–930 (1991).Google Scholar
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    S. K. Godunov, Elements of the Mechanics of Continuous Media [in Russian], Nauka, Moscow (1978).Google Scholar

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • A. D. Resnyanskii
  • E. I. Romenskii

There are no affiliations available

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