Mechanical aspects of growth in soft tissues
Bollettino della Unione matematica italiana, Série 8, 7B (2004) no. 3, pp. 775-781
In the last years many efforts have been devoted to understand the stressmodulated growth of soft tissues. Recent theoretical achievements suggest that a component of the stress-growth coupling is tissue-independent and reads as an Eshelby-like tensor. In this paper we investigate the mathematical properties and the qualitative behavior predicted by equations that specialize that model under few simple assumptions. Equations strictly deduced from a dissipation principle are compared with heuristic ones that fit well the experimental data. Numerical simulations of the growth of a symmetric annulus are discussed.
@article{BUMI_2004_8_7B_3_a15,
author = {Ambrosi, D. and Guana, F.},
title = {Mechanical aspects of growth in soft tissues},
journal = {Bollettino della Unione matematica italiana},
pages = {775--781},
year = {2004},
volume = {Ser. 8, 7B},
number = {3},
zbl = {1178.74119},
mrnumber = {MR2101665},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2004_8_7B_3_a15/}
}
Ambrosi, D.; Guana, F. Mechanical aspects of growth in soft tissues. Bollettino della Unione matematica italiana, Série 8, 7B (2004) no. 3, pp. 775-781. http://geodesic.mathdoc.fr/item/BUMI_2004_8_7B_3_a15/