Note on the notion of incompressibility in thermodynamic theories of porous and granular materials

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 81, Issue 1, 2001, Pages 37-42

  Wilmanski K ^a  

^a WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

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Indexed keywords

EID: 0346395820     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/1521-4001(200101)81:1<37::AID-ZAMM37>3.0.CO;2-H     Document Type: Article

References (9)

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2. I-SHIH LIU; Method of Lagrange multipliers for exploitation of the entropy principle. Arch. Rat. Mech. Anal. 46 (1972), 131-148.
3. WILMAŃSKI, K.: Lagrangean model of two-phase porous material. J. Non-Equilib. Thermodyn. 20 (1995), 50-77.
4. WILMAŃSKI, K.: Thermomechanics of continua. Springer, Berlin et al. 1998.
5. BÜRGER, R.; WENDLAND, W. L.; CONCHA, F.: Model equations for gravitational sedimentation-consolidation processes. ZAMM 80 (2000) 2, 79-92.
6. KAVIANY, M.: Principles of heat transfer in porous media. Springer, New York 1995.
7. GOODMAN, M. A.; COWIN, S. C.: A continuum theory for granular materials. Arch. Rat. Mech. Anal. 44 (1972), 249-266.
8. WILMAŃSKI, K.: Porous media at finite strains. The new model with the balance equation for porosity. Arch. Mech. 48 (1996) 4, 591-628.
9. ALBERS, B.; WILMAŃSKI, K.: On a stationary axisymmetric filtration problem under large deformations of the skeleton. In: IOOSS, G.; GUÈS, O.; NOURI, A. (eds.): Trends in applications of mathematics to mechanics. Chapman & Hall/CRC, Boca Raton 2000, pp. 47-57.