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Some theorems in the theory of elastic materials with voids

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Abstract

The linear theory of elastic materials with voids is considered. Some basic theorems concerning the existence and uniqueness of solution, the reciprocity relations and the variational characterization of the solution are presented.

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References

  1. J.W. Nunziato and S.C. Cowin, A nonlinear theory of elastic materials with voids, Arch. Rational Mech. Anal. 72 (1979) 175.

    Google Scholar 

  2. S.C. Cowin and J.W. Nunziato, Linear elastic materials with voids. J. Elasticity 13 (1983) 125.

    Google Scholar 

  3. G. Fichera, Existence theorems in elasticity, In: S. Flügge (ed.) Handbuch der Physik, Vol. VIa/2. Springer, Berlin/Heidelberg/New York (1972).

    Google Scholar 

  4. J. Necas, Les méthodes directes en théorie des équations elliptiques. Academia, Prague (1967).

    Google Scholar 

  5. M.E. Gurtin, The linear theory of elasticity. In: S. Flügge (ed.) Handbuch der Physik, Vol. VIa/2. Springer, Berlin/Heidelberg/New York (1972).

    Google Scholar 

  6. J. Ignaczak, A completeness problem for stress equation of motion in the linear elasticity theory. Arch. Mech. Stos. 15 (1963) 225.

    Google Scholar 

  7. M.E. Gurtin, Variational principles for linear elastodynamics. Arch. Rational Mech. Anal. 16 (1964) 34.

    Google Scholar 

  8. D. Ieşan, Sur la théorie de la thérmoelasticité micropolaire couplée. C.R. Acad. Sc. Paris 265A (1967) 261.

    Google Scholar 

  9. D. Ieşan, On the linear coupled thermoelasticity with two temperatures. ZAMP 21 (1970) 583.

    Google Scholar 

  10. I. Hlavacek, Variational formulation of the Cauchy problem for equations with operator coefficients. Aplikace matematiky 16 (1971) 46.

    Google Scholar 

  11. D. Ieşan, On reciprocity theorems and variational theorems in linear elastodynamics. Bull. Acad. Polon. Sci., Sér. Sci. Techn. 22 (1974) 273.

    Google Scholar 

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Ieşan, D. Some theorems in the theory of elastic materials with voids. J Elasticity 15, 215–224 (1985). https://doi.org/10.1007/BF00041994

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  • DOI: https://doi.org/10.1007/BF00041994

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