Description of tetragonal pore space structure of porous materials

• Autorzy: Cieszko M. , Kriese W.
• Konferencja: International Conference on Continuous and Discrete Modelling in Mechanics (05-09.09.2005 ; Warsaw ; Poland)
• Języki publikacji: EN

Abstrakty

EN

The generalized macroscopic description is formulated in the paper for tetragonal pore space structure of porous materials. The anisotropic pore space is modelled as Minkowski space, the metric tensor of which plays the fundamental role in description of transport phenomena in such a medium. To describe the metric properties of the tetragonal space, the fourth order tensor with internal symmetries of the compliance tensor used in the linear theory of elasticity of anisotropic materials has been applied. Its reduction by the automorphisms group describing point symmetries of the square net gave the general metrics of tetragonal pore space containing only two scalar parameters, that represent tortuosities of the pore space in the main and diagonal directions

Słowa kluczowe

EN

permeable porous materials; anisotropic tetragonal pore; Minkowski metrics; macroscopic description; transport phenomena

PL

przepuszczalne materiały porowate; anizotropowe pory tetragonalne; wymiar Minkowskiego; opis makroskopowy; zjawiska transportu

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2006
• Tom: Vol. 58, nr 4-5
• Strony: 477--488
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Cieszko M.

autor

Kriese W.

• Institute of Enviromental Mechanics and Applied Computer Science, Kazimierz Wielki University, Chodkiewicza 30, 85-064 Bydgoszcz, Poland

Bibliografia

• 1. Cieszko M., Fluid mechanics in anisotropic pore space of permeable materials. Application of Minkowski space [in Polish], Kazimierz Wielki University Press, Bydgoszcz 2001.
• 2. Cieszko M., Application of Minkowski space to description of anisotropic pore space stru-ture in porous materials, ZAMM, 80, 129-132, 2000.
• 3. Cieszko M., Mechanics of Fluid in anisotropic space. Modelling of fluid motion in porous medium [in:], Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials, W. EHLERS [Ed.], Kluver Academic Publishers, Dordrecht-Boston-London, 2000.
• 4. Lord Rayleigh, On the influence of obstacles arranged in rectangular order upon the properties of a medium, Phil. Mag., 34, 481-502, 1892.
• 5. Perris W.T., McKenzie D.R., McPhedran R.C., Transport properties of regular arrays of cylinders, Proc. R. Soc. Lond., A 369, 207-225, 1979.
• 6. Rund H., The differential geometry of Finsler spaces, Springer-Verlag, Berlin-Gottingen-Heidelberg, 1959.
• 7. Thompson A.C., Minkowski geometry, Encyclopaedia of mathematics and its applications, Cambridge University Press, 1996.
• 8. Rychlewski J., Symmetry of tensor functions and spectral theorem, Advances in Mechanics, 11, 3, 77-125, 1988.
• 9. Rychlewski J., Unconventional approach to linear elasticity, Arch. Mech., 47, 149-171 1995.