Title: Dynamical properties of the growing continuum using multiple-scale method
Authors: Rosenberg, Josef
Hynčík, Luděk
Citation: Applied and Computational Mechanics. 2008, vol. 2, no. 1, p. 357-368.
Issue Date: 2008
Publisher: University of West Bohemia
Document type: článek
URI: http://www.kme.zcu.cz/acm/old_acm/full_papers/acm_vol2no2_p015.pdf
ISSN: 1802-680X (Print)
2336-1182 (Online)
Keywords: mechanika kontinua;svalová tkáň;simulace a modelování;matematické modelování
Keywords in different language: continuum mechanics;muscle tissue;simulation and modelling;mathematical modelling
Abstract: The theory of growth and remodeling is applied to the 1D continuum. This can be mentioned e.g. as a model of the muscle fibre or piezo-electric stack. Hyperelastic material described by free energy potential suggested by Fung is used whereas the change of stiffness is taken into account. Corresponding equations define the dynamical system with two degrees of freedom. Its stability and the properties of bifurcations are studied using multiple-scale method. There are shown the conditions under which the degenerated Hopf’s bifurcation is occuring.
Rights: © 2008 University of West Bohemia. All rights reserved.
Appears in Collections:Volume 2, number 2 (2008)
Články / Articles (KME)
Volume 2, number 2 (2008)

Files in This Item:
File Description SizeFormat 
acm_vol2no2_p015.pdf492,34 kBAdobe PDFView/Open

Please use this identifier to cite or link to this item: http://hdl.handle.net/11025/1901

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.