Title: Two-scale hyperelastic model of a material with prestress at cellular level
Authors: Vychytil, Jan
Holeček, Miroslav
Citation: Applied and Computational Mechanics. 2008, vol. 2, no. 1, p. 167-176.
Issue Date: 2008
Publisher: University of West Bohemia
Document type: article
článek
URI: http://www.kme.zcu.cz/acm/old_acm/full_papers/acm_vol2no1_p017.pdf
http://hdl.handle.net/11025/1763
ISSN: 1802-680X (Print)
2336-1182 (Online)
Keywords: elasticita;model;výpočetní metody ve fyzice
Keywords in different language: elasticity;model;computational methods in physics
Abstract: We propose the two-scale hyperelastic model of a material defined at micro-scale. The microstructure, motivated by the arrangement of soft tissues at the cellular level, is formed by an incompressible inclusion and linear elastic elements. The prestress of such structure is maintained by the assumption of constant volume of the inclusion. In the continuum limit, the prestressed microstructure is considered as a single material particle governed by the macroscopic deformation gradient. Thus the strain-energy is obtained as a function of both macro-deformation and micro-prestress. Although we have no analytical formula, an approximation is found using assumptions that hold for soft tissues. It shows clearly the ability of the model to control the overall mechanical behaviour by setting the prestress at micro-scale (the prestress-induced stiffening).
Rights: © 2008 University of West Bohemia. All rights reserved.
Appears in Collections:Volume 2, number 1 (2008)
Články / Articles (MMI)
Volume 2, number 1 (2008)

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