Homogenization applied in modelling of arteries

• Autorzy: Lukes V. , Rohan E.
• Konferencja: Applied Mechanics 2003, Gliwice, Polska
• Języki publikacji: EN

Abstrakty

EN

The paper deals with homogenization method applied in modelling mechanics of arterial wall. The influence of microstructure on the wave propagation is pursued. The multi-layered structure of arterial wali is considered, each layer is modelled using fibre reinforced materiał consisting of hyperelastic materiał with periodic distribution of fluid filled incompressible inclusions. The effective parameters are derived by the method of homogenization. The fluid-structure interaction problem is assumed to be axisymmetric, one dimensional flow is considered through symmetric shelł which oscillates in both radial and longitudinal directions. Various arrangements of the microstructure are examined.

Słowa kluczowe

EN

method of homogenization; homogenization applied

• Wydawca: Wydawnictwo Katedry Mechaniki Stosowanej
• Czasopismo: Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
• Rocznik: 2003
• Tom: nr 21
• Strony: 165--170
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Lukes V.

• Department of Mechanics, University of West Bohemia Plzen, 06 14 Pilsen, Univerzitni 8 tel. [phone]

autor

Rohan E.

• Department of Mechanics, University of West Bohemia Plzen, 06 14 Pilsen, Univerzitni 8 tel. [phone]

Bibliografia

• [1] Holzapfel G., Gasser T., Ogden R.: A new constitutive framework for arterial wall mechanics and a comparative study of material models. Journal of Elasticity, 2000. 61:1-48.
• [2] Lukejs V.: : Wave propagation in vessels. Master's thesis. University of West Bohemia, Pilsen, 2002.
• [3] Rohan E.: Mathematical modellig of soft tissues. Habilitation thesis, University of West Bohemia, Pilsen, 2002.
• [4] Rohan E.: Sensitivity strategies in modelling heterogeneous media undergoing finite deformation. Math. and Computers in Simul., 2003. 61(3-6):261-270.
• [5] Rohan E., Cimrman R.: Sensitivity analysis and material identification for activated smooth muscle. Computer Assisted Mechanics and Engrg. Science, 2002. 9:519-541.
• [6] Stembera V.: The flow through visco-elastic tubes. Master's thesis. Charles University, Prague, 2002.
• [7] Timoshenko S. P.: Plastinky i obolocky. Izdatelstvo Nauka, Moscow, 1966.