title: Phase field modelling of strain induced crystal growth in an elastic matrix.
abstract: When a crystal phase grows in an amorphous matrix, such as a crystallisable elastomer, containing cross-links and/or entanglements, these "topological constraints" need to be pushed away from the crystal phase to allow further crystallization. The accumulation of these topological constraints in the vicinity of the crystal interface may store elastic energy and affect the phase transition. To evaluate the consequences of such mechanism, we introduce a phase field model based on the Flory theory of entropic elasticity. We show that the growth process is indeed sensibly affected, in particular, an exponential increase of the surface energy with the displacement of the interface is induced. This explains the formation of stable nano-crystallites as it is observed in the Strain Induced Crystallization (SIC) of natural rubber. Although simple, the model developed here is able to account for many interesting features of SIC, for instance, the crystallite shapes and their sizes which depend on the applied deformation.
authors.affiliation: Institut Lumière Matière, UMR5306 Université Lyon 1-CNRS, Université de Lyon, 69622 Villeurbanne cedex, France.
authors.forename: Rabia
authors.initials: R
authors.lastname: Laghmach
authors.affiliation: MATEIS, INSA-Lyon, Université Lyon I, CNRS UMR5510, Université de Lyon, Villeurbanne 69621, France.
authors.forename: Nicolas
authors.initials: N
authors.lastname: Candau
authors.affiliation: MATEIS, INSA-Lyon, Université Lyon I, CNRS UMR5510, Université de Lyon, Villeurbanne 69621, France.
authors.forename: Laurent
authors.initials: L
authors.lastname: Chazeau
authors.affiliation: Manufacture Française des Pneumatiques Michelin, Centre de technologies, 63040 Clermont Ferrand Cedex 9, France.
authors.forename: Etienne
authors.initials: E
authors.lastname: Munch
authors.affiliation: Institut Lumière Matière, UMR5306 Université Lyon 1-CNRS, Université de Lyon, 69622 Villeurbanne cedex, France.
authors.forename: Thierry
authors.initials: T
authors.lastname: Biben