Conclusions
In this paper the current state of the macroscopic porous media theory has been stated along with the citation of numerous contributions. The investigations concerning the fundamentals of the theory of porous media have revealed that in the last decade a consistent theory has been derived, consistent with the basic principles of continuum mechanics, in particular, the dissipation principles.
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References
Amstrong, C. G., Lai, W. M. and Mow, V. C. An analysis of the unconfined compression of articular cartilage, Journal of Biomechanical Engineering (J Biomech Eng Trans), 106, 165–173, 1984.
Besmann, T. M., Sheldon, B. W., Lowden, R. A. and Stinton, D. P. Vapor-phase fabrication and properties of continuous-filament ceramic composites Science, 253, 1104–1108, 1991.
Bluhm, J. and de Boer, R. The volume fraction concept in the porous media theory, Zeitschrift für angewandte Mathematik und Mechanik (ZAMM), 77, 563–577, 1997.
de Boer, R. Highlights in the historical development of the porous media theory-toward a consistent macroscopic theory, Applied Mechanics Review (Appl Mech Rev), 49, 201–262, 1996.
de Boer, R. Theory of Porous Media: Highlights in the historical development and current state, Springer-Verlag, Berlin • Heidelberg • New York, 1999.
de Boer, R. and Bluhm, J. Phase transitions in gas-and liquid-saturated porous solids, Transport in PorousMedia (T I P M), 34, 249–267, 1999.
Bowen, R. M. Incompressible porous media models by use of the theory of mixtures, International Journal of Engineering Science (Int J Eng Sci), 18, 1129–1148, 1980.
Doraivelu, S. M., Gegel, H. L., Grunasekara, J. S., Malas, J. C., Morgan, J. T. and Thomas, Y. F. A new yield function for compressible P/M materials, International Journal of Mechanics Science (Int J Mech Sci), 26, 527–535, 1984.
Ehlers, W. and Eipper, G. Finite elastic deformations in liquid-saturated and empty porous solids, Transport in Porous Media (T I P M), 34, 179–191, 1999.
Holmes, M. H., Lai, W. M. and Mow, V. C. Singular pertubation analysis of the nonlinear, flow-dependent, compressive stress-relaxation behavior of articular cartilage, Journal of Biomechanical Engineering (ASME), 107, 206–218, 1985.
Karalis, T. K. Thermodynamics of soils swelling non-hydrostatically, NATO ASI Series, Vol. H 64, Mechanics of Swelling (ed.: by T. K. Karalis) Springer-Verlag Berlin • Heidelberg, 1991.
Kowalski, S. J. Thermomechanics of constant drying rate period, Archives of Mechanics (Arch Mech), 39, 157–176, 1987.
Lai, W. M., Hou, J. S. and Mow, V. C. A triphasic theory for the swelling and deformation behaviors of articular cartilage, Journal of Biomechanical Engineering (J Biomech Eng), 113, 245–258, 1991.
Lewis, R. W., Jinka, A. G. and Getin, D. T. Computer-aided simulation of metal powder die compaction processes, PMI Vol. 25, No. 6, 287–293, 1993.
Luikov A. V. Systems of differential equations of heat and mass transfer in capillary-porous bodies, International Journal of Heat and Mass Transfer (Int J Heat Mass Trans), 18, 1–14, 1975.
Maini, B. B. and Hayes, R. E. (eds) Foamy oil flow, Transport in Porous Media (T I PM), 35 (special issue), 1999.
Mow, V. C., Kuei, S. C., Lai, W. M. and Amstrong, C. G. Biphasic creep and stress relaxation of articular cartilage in compression: theory and experiments, Journal of Biomechanical Engineering (J Biomech Eng) (ASME), 102, 73–84, 1980.
Mow, V. C. and Ratcliffe, A. Cartilage and diarthrodial joints as paradigms for hierarchical materials and structures, Biomaterials, 13, 67–97, 1991.
Raats P. A. C. Rogoar H. and van den Heuvel-Pieper eds. Soil structure and transport processes The Netherlands Integrated Soil Research Programme Reports 6 Graphish Service Centrum Van Gils B.V. Wageningen The Netherlands 1996.
Silk, W. K. On the kinematics and dynamics of plant growth. NATO ASI Series, Vol. H 64, Mechanics of Swelling, (ed.: by T. K. Karalis) Springer-Verlag, Berlin • Heidelberg, 1991.
Zimmer, U. Durchströmung poröser Medien, Einsatz numerischer Modellrechnungen zur Beschreibung und Bewertung von Aulagen zur Retention und Versickerung von Regenwasser. Fachbereich Bauwesen Universität-GH Essen, Dissertation, 1997.
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de Boer, R. (2001). Introduction to the Porous Media Theory. 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_1
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DOI: https://doi.org/10.1007/0-306-46953-7_1
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