Summary: Mathematics and Mechanics of Solids (to appear)
Stress­modulated growth
D. Ambrosi1
, F. Guana2
1
Dipartimento di Matematica, Politecnico di Torino,
corso Duca degli Abruzzi 24, 10129 Torino, Italy
2
Dipartimento di Matematica, Universit`a di Torino,
via Carlo Alberto 10, 10123 Torino, Italy
July 8, 2005
Abstract
The growth and remodeling of soft tissues depend on a number of biological, chemical
and mechanical factors, including the state of tension. In many cases the stress field plays
such a relevant role that "stress­modulated growth" has become a very topical subject.
Recent theoretical achievements suggest that, irrespective of the specific biological mate-
rial at hand, a component of the stress-growth coupling is tissue­independent and reads
as an Eshelby­like tensor. In this paper we investigate the mathematical properties and
the qualitative behavior predicted by equations that specialize that model under few sim-
ple assumptions. Constitutive equations that satisfy a suitable dissipation principle are

Source: Ambrosi, Davide - Dipartimento di Matematica, Politecnico di Torino

Collections: Mathematics