000000928 001__ 928 000000928 005__ 20141118153511.0 000000928 04107 $$acze 000000928 046__ $$k2002-05-13 000000928 100__ $$aRohan, E. 000000928 24500 $$aHOMOGENIZATION APPLIED IN MODELLING SMOOTH MUSCLE TISSUE 000000928 24630 $$n8.$$pEngineering Mechanics 2002 000000928 260__ $$bInstitute of Mechanics and Solids, FME, TU Brno 000000928 506__ $$arestricted 000000928 520__ $$2cze$$aAbstrakt: 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. 000000928 520__ $$2eng$$aAbstract: 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. 000000928 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb. 000000928 7112_ $$aEngineering Mechanics 2002$$cSvratka (CZ)$$d2002-05-13 / 2002-05-16$$gEM2002 000000928 720__ $$aRohan, E. 000000928 8560_ $$ffischerc@itam.cas.cz 000000928 8564_ $$s403769$$uhttps://invenio.itam.cas.cz/record/928/files/Rohan.pdf$$y Original version of the author's contribution as presented on CD, . 000000928 962__ $$r451 000000928 980__ $$aPAPER