caa a22 4500 463162595 CHVBK 20180406164752.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s11242-007-9107-6 doi (NATIONALLICENCE)springer-10.1007/s11242-007-9107-6 Markert Bernd Institute of Applied Mechanics (CE), University of Stuttgart, Stuttgart, Germany aut A constitutive approach to 3-d nonlinear fluid flow through finite deformable porous continua [Elektronische Daten] With application to a high-porosity polyurethane foam [Bernd Markert] The present paper proposes a thermodynamically consistent Forchheimer-type filter law for application in macroscopic porous media theories. The constitutive flow equation is thereby capable of describing the essential nonlinearities during 3-d fluid percolation through deformable porous solids. In particular, tortuosity effects, anisotropic properties, and the indispensable influence of finite distortions of the interconnected pore space are accounted for. However, the common shape of a Darcy-type relation is retained by assigning all nonlinearities to a general permeability tensor. Finally, to show the validity and applicability of the proposed formulation, the filter law is correlated with the data of permeability experiments on a high-porosity polyurethane foam and is used in a 3-d finite element analysis to simulate the pneumatic damping properties of the material. Springer Science+Business Media, Inc., 2007 Nonlinear pore-fluid flow nationallicence Deformation-dependent permeability nationallicence Anisotropic permeability nationallicence Finite deformations nationallicence Permeability experiments nationallicence Polyurethane foam nationallicence 3-d Finite element simulation nationallicence Transport in Porous Media Springer Netherlands 70/3(2007-12-01), 427-450 0169-3913 70:3<427 2007 70 11242 https://doi.org/10.1007/s11242-007-9107-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-007-9107-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Markert Bernd Institute of Applied Mechanics (CE), University of Stuttgart, Stuttgart, Germany aut NATIONALLICENCE 773 0- Transport in Porous Media Springer Netherlands 70/3(2007-12-01), 427-450 0169-3913 70:3<427 2007 70 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer