Mechanical aspects of growth in soft tissues
Bollettino della Unione matematica italiana, Série 8, 7B (2004) no. 3, pp. 775-781
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
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},
publisher = {mathdoc},
volume = {Ser. 8, 7B},
number = {3},
year = {2004},
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/