Nonconvex model of material growth. Mathematical theory
Résumé
The model of volumetric material growth is introduced in the
framework of finite elasticity. The new results obtained for the
model are presented with complete proofs. The state variables
include the deformations, temperature and the growth factor matrix
function. The existence of global in time solutions for the
quasistatic deformations boundary value problem coupled with the
energy balance and the evolution of the growth factor is shown. The
mathematical results can be applied to a wide class of growth
models in mechanics and biology.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)
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