A uniqueness theorem in Biot's poroelasticity theory

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 49, Issue 5, 1998, Pages 838-846

  Altay, G Aşkar ^a   Dökmeci, M Cengiz ^b  

^a BOGAZICI UNIVERSITY   (Turkey)

^b ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Poroelasticity; Uniqueness theorem

Indexed keywords

EID: 0039982912     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001489     Document Type: Article

References (11)

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2. R. M. Bowen, Theory of mixtures, Continuum Physics 3, 1-127, Academic Press, New York 1976.
3. J. L. Auriault and E. Sanchez-Palencia, Étude du comportement macroscopique d'un milieux poreux saturé déformablé, J. Mécanique 16 (1977), 577-603.
4. H. J. Kümpel, Poroelasticity: parameters reviewed, Geophys. J. Int. 105 (1990), 783-799.
5. G. Aşkar Altay and M. C. Dökmeci, On lower order theories of Biot's poroelasticity, TR#3-ITU&BU, January 1997.
6. R. de Boer, Highlights in the historical development of the porous media theory, Appl. Mech. Rev. 49 (1996), 201-262.
7. M. A. Biot, Acoustics, elasticity and thermodynamics of porous media: Twenty-one papers by M. A. Biot, Acoust. Soc. Am., Woodbury, New York 1992.
8. M. C. Dökmeci, Theory of vibrations of coated, thermopiezoelectric laminae, J. Math. Phys. 19 (1978), 109-126.
9. G. Kirchhoff, Über das Gleichgewicht und die Bewegung eines unendlich dünnen elastischen Stabes, J. reine angew. Math. 56 (1859), 285-313.
10. F. Neumann, Vorlesungen über die Theorie der elastischen, der festen Körper und des Lichtäthers, Teubner, Leipzig 1885.
11. R. J. Knops and L. E. Payne, Uniqueness Theorems in Linear Elasticity, Springer Verlag, Berlin 1972.