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Modeling residual stresses in arterial walls based on anisotropic growth
Author(s) -
Zahn Anna,
Balzani Daniel
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610046
Subject(s) - anisotropy , residual stress , tensor (intrinsic definition) , residual , multiplicative function , cauchy stress tensor , materials science , mechanics , stress (linguistics) , mathematics , physics , mathematical analysis , geometry , composite material , algorithm , optics , linguistics , philosophy
With the aim of obtaining a general local formulation for anisotropic growth in soft biological tissues, a model based on the multiplicative decomposition of the growth tensor is formulated. The two parts of the growth tensor are associated with the main anisotropy directions. Together with an anisotropic driving force, the model enables an effective stress reduction by including growth‐induced residual stresses, which is demonstrated in a numerical example of an idealized arterial segment. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)