Homogenization of perfusion in a large-deforming medium using the updated Lagrangian formulation

Proceedings of the 7th International Conference on Engineering Computational Technology

Volumn , Issue , 2010, Pages

  Rohan, E ^a   Lukes V ^a  

^a UNIVERSITY OF WEST BOHEMIA   (Czech Republic)

Author keywords

Biot model; Homogenization; Large deformation; Multiscale modeling; Perfusion; Porous medium

Indexed keywords

BIOT MODELS; HOMOGENIZATION; LARGE DEFORMATIONS; MULTI-SCALE MODELING; PERFUSION; POROUS MEDIUM;

CONTINUUM MECHANICS; HOMOGENIZATION METHOD; LINEAR SYSTEMS; MICROSTRUCTURE; POROUS MATERIALS;

DEFORMATION;

EID: 84858394380     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (10)

1. Cioranescu, D. and Donato, P., 1999. An Introduction to Homogenization, Oxford Lecture Series in Mathematics and its Applications 17, Oxford University Press, Oxford.
2. Coussy, O., 2004. Poromechanics. John Wiley & Sons.
3. Hornung, U. 1997. Homogenization and Porous Media, Springer-Verlag, Berlin.
4. Rohan, E., 2003. Sensitivity strategies in modelling heterogeneous media undergoing finite deformation. Math. and Computers in Simulation 61 (3-6), 261-270.
5. Rohan, E., 2006. Modelling large deformation induced microflow in soft biological tissues. Theor. and Comp. Fluid Dynamics 20, 251-276.
6. Rohan, E., Cimrman, R., Lukes, V., 2006. Numerical modelling and homogenized constitutive law of large deforming fluid saturated heterogeneous solids. Computers and Structures 84, 1095-1114.
7. Rohan, E., 2006. Homogenization approach to the multi-compartment model of perfusion. Proc. Appl. Math. Mech. 6, 79-82.
8. Rohan, E., 2006. Modelling large deformation induced microflow in soft biological tissues. Theor. and Comp. Fluid Dynamics 20, 251-276.
9. Rohan, E., Cimrman, R., 2009. Multiscale FE simulation of diffusiondeformation processes in homogenized dual-porous media. Submitted.
10. Rohan, E., Cimrman, R., 2009. Two-scale modelling of tissue perfusion problem using homogenization of dual prous media. Accepted in Int. Jour. for Multiscale Comput. Engrg.