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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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.
Bluhm, J. A consistent model for saturated and empty porous media. Forschungsbericht aus dem Fachbereich Bauwesen 74, Universität-GH Essen, 1997.
Beatty, M. F. Topics in finite elasticity: Hyperelasticty of rubber, elastomers, and biological tissues-with examples. Appl. Mech. Rev., 40, 1699–1734, 1987.
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.
Ehlers, W. and Eipper, G. Finite elastic deformations in liquid-saturated and empty porous solids. Transport in Porous Media, 34, 179–191, 1999.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Kluwer Academic Publishers
About this paper
Cite this paper
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
Download citation
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