Rohan, E.

HOMOGENIZATION APPLIED IN MODELLING SMOOTH MUSCLE TISSUE

Abstract cze:
Abstrakt: The paper deals with the homogenization method in the context of modelling biological tissues which undergo large deformation. The updated Lagrangian scheme is applied to obtain linear subproblems which can be homogenized using the two scale convergence, cf. [6, 7]. It is suggested how an incremental "macroscopic" constitutive law can be obtained in terms of the homogenized coefficients for contracting smooth muscle cells. A simple (hyperelastic) model of the microstructure with contractile filaments is presented.

Abstract eng:
Abstract: The paper deals with the homogenization method in the context of modelling biological tissues which undergo large deformation. The updated Lagrangian scheme is applied to obtain linear subproblems which can be homogenized using the two scale convergence, cf. [6, 7]. It is suggested how an incremental "macroscopic" constitutive law can be obtained in terms of the homogenized coefficients for contracting smooth muscle cells. A simple (hyperelastic) model of the microstructure with contractile filaments is presented.

Publisher:

Institute of Mechanics and Solids, FME, TU Brno

Conference Title:

Engineering Mechanics 2002

Conference Title:

Engineering Mechanics 2002

Conference Venue:

Svratka (CZ)

Conference Dates:

2002-05-13 / 2002-05-16

Rights:

Text je chráněný podle autorského zákona č. 121/2000 Sb.