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Constitutive Relations for Thermo-elastic Porous Solids within the Framework of Finite Deformations

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IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 87))

Conclusion

In this paper, a constitutive law for the description of the thcrmo-elastic compressible and incompressible porous solids has been presented. For compressible materials (J Scp = 0) the relation (8) takes on the form of the well-known law of Simo & Pister [4]. For incompressible materials (J Scp = n S0S ), the displacement curves, see right Fig., of the law in question are almost identical with the curves calculated with the finite law of Ehlers & Eipper [5] developed for incompressible elastic porous solids without thermal effects.

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References

  1. de Boer, R. Highlights in the historical development of the porous media theory: Toward a consistent macroscopic theory. Appl. Mech. Rev., 49, 201–261, 1996.

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  2. Bluhm, J. A consistent model for saturated and empty porous media. Forschungsbericht aus dem Fachbereich Bauwesen 74, Universität-GH Essen, 1997.

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  4. Simo, J. C. and Pister, K. S. Remarks on rate constitutive equations for finite deformation problems: Computational implications. Comput. Meth. Appl. Mech. Eng., 46, 201–215, 1984.

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  5. Ehlers, W. and Eipper, G. Finite elastic deformations in liquid-saturated and empty porous solids. Transport in Porous Media, 34, 179–191, 1999.

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© 2001 Kluwer Academic Publishers

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Bluhm, J. (2001). Constitutive Relations for Thermo-elastic Porous Solids within the Framework of Finite Deformations. In: Ehlers, W. (eds) IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials. Solid Mechanics and Its Applications, vol 87. Springer, Dordrecht. https://doi.org/10.1007/0-306-46953-7_4

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  • DOI: https://doi.org/10.1007/0-306-46953-7_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6766-6

  • Online ISBN: 978-0-306-46953-4

  • eBook Packages: Springer Book Archive

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