Mechanical aspects of growth in soft tissues
Bollettino della Unione matematica italiana, Série 8, 7B (2004) no. 3, pp. 775-781

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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.
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     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/}
}
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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/