Mechanical aspects of growth in soft tissues
Bollettino dell'Unione Matematica Italiana (2004)
- Volume: 7-B, Issue: 3, page 775-781
- ISSN: 0392-4041
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topAmbrosi, D., and Guana, F.. "Mechanical aspects of growth in soft tissues." Bollettino dell'Unione Matematica Italiana 7-B.3 (2004): 775-781. <http://eudml.org/doc/195736>.
@article{Ambrosi2004,
abstract = {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.},
author = {Ambrosi, D., Guana, F.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {775-781},
publisher = {Unione Matematica Italiana},
title = {Mechanical aspects of growth in soft tissues},
url = {http://eudml.org/doc/195736},
volume = {7-B},
year = {2004},
}
TY - JOUR
AU - Ambrosi, D.
AU - Guana, F.
TI - Mechanical aspects of growth in soft tissues
JO - Bollettino dell'Unione Matematica Italiana
DA - 2004/10//
PB - Unione Matematica Italiana
VL - 7-B
IS - 3
SP - 775
EP - 781
AB - 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.
LA - eng
UR - http://eudml.org/doc/195736
ER -
References
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