Polymer crystallization may be modelled by a stochastic birth-and-growth process, with temperature dependent parameters. The temperature field is itself stochastic, because of the release of latent heat, due to the phase change. A mathematical model which couples the evolution of crystal growth with temperature field is here described. The final result is a stochastic system of PDE's which has been numerically simulated. Results of numerical simulations for a test case are reported and discussed.
Mathematical modelling and simulation of polymer crystallization processes / A. Micheletti. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 47:3(2001 Aug), pp. 1761-1772. ((Intervento presentato al 3. convegno World Congress of Nonlinear Analysis tenutosi a Catania nel 2000.
Mathematical modelling and simulation of polymer crystallization processes
A. MichelettiPrimo
2001
Abstract
Polymer crystallization may be modelled by a stochastic birth-and-growth process, with temperature dependent parameters. The temperature field is itself stochastic, because of the release of latent heat, due to the phase change. A mathematical model which couples the evolution of crystal growth with temperature field is here described. The final result is a stochastic system of PDE's which has been numerically simulated. Results of numerical simulations for a test case are reported and discussed.Pubblicazioni consigliate
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