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Constitutive Relations of Nonlinear Thermoelasticity of Anisotropic Bodies

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

Quasilinear relations for finite reversible deformation of anisotropic materials are obtained using a thermomechanical approach. Free energy is written as a function of temperature and compatible invariants of the logarithmic strain measure and basis tensors. Nonlinear thermomechanical effects including different types of material behavior in tension and compression and the temperature dependence of the elastic tensor are taken into account.

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REFERENCES

  1. W. Nowacki, Theory of Elasticity [Russian translation], Moscow, Mir (1975).

    Google Scholar 

  2. K. F. Chernykh, Introduction into Anisotropic Elasticity [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  3. A. A. Il'yushin, Mechanics of Continuous Media, [in Russian], Izd. Mosk. Univ., Moscow (1990).

    Google Scholar 

  4. L. I. Sedov, Introduction into Mechanics of Continuous Media, [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  5. A. I. Lur'e, Nonlinear Theory of Elasticity [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  6. M. Yu. Sokolova, “Constructing an image of a loading process in an initially anisotropic medium,” Izv. Tul. Univ. Mat. Mekh. Inform., 1, No. 2, 144–150 (1995).

    Google Scholar 

  7. P. G. Miklyaev and Ya. B. Fridman, Anisotropy of Mechanical Properties of Materials [in Russian], Metallurgiya, Moscow (1969).

    Google Scholar 

  8. S. I. Novikova, Thermal Expansion of Solids [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  9. N. M. M atchenko and A. A. Treshchev, Theory of Deformation of Materials with Different Characteristics in Tension and Compression. Constitutive Relations [in Russian], Tul. Gos. Univ., Tula (2000).

    Google Scholar 

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Authors and Affiliations

  1. Tula State University, Tula, 300600

    A. A. Markin & M. Yu. Sokolova

Authors
  1. A. A. Markin
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  2. M. Yu. Sokolova
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Markin, A.A., Sokolova, M.Y. Constitutive Relations of Nonlinear Thermoelasticity of Anisotropic Bodies. Journal of Applied Mechanics and Technical Physics 44, 141–145 (2003). https://doi.org/10.1023/A:1021702418574

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  • DOI: https://doi.org/10.1023/A:1021702418574

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