|Mochamad Chalid||Department of Metallurgical and Materals Engineering, Faculty of Engineering, Universitas Indonesia|
|Arbi Irsyad Fikri||Department of Metallurgical and Materals Engineering, Faculty of Engineering, Universitas Indonesia|
|Hanindito Haidar Satrio||Department of Metallurgical and Materals Engineering, Faculty of Engineering, Universitas Indonesia|
|Muhammad Joshua Y.B.||Department of Metallurgical and Materals Engineering, Faculty of Engineering, Universitas Indonesia|
|Jaka Fajar Fatriansyah||- Department of Metallurgical and Materals Engineering, Faculty of Engineering, Universitas Indonesia
A phase field model has been successfully constructed to simulate the behavior of the semi-crystalline polymer solidification phenomenon. It is a model that has been widely and successfully utilized to simulate solidification phenomena in metals. However, the non-conserved phase field equation can be extended to include unique polymer parameters that do not exist in metals; for example, polymer melt viscosity and the diffusion coefficient. In order to extend this model, we incorporate free energy density and non-local free energy density based on the Harrowell-Oxtoby and Ginzburg-Landau theorems for polymer. By using the expansion principle for the higher order of binary phase field parameter, a full modified phase field equation can be obtained. The solidification phenomenon in polymer is very important to optimize the final properties of the products. Here, we use our modified equation to investigate the effect of melting temperature on the rate of solidification. It was found that the rate of solidification is correlated with melting temperature in a non-straightforward manner.
Phase field; Polymer; Polymer product; Solidification
We calculated that PP has the highest solidification rate (from the gradient), followed by PS and PE. This is due to the relatively large difference between the melting temperature and crystallization temperature for PP. Thus, to achieve equilibrium, PP needs to dissipate heat faster and crystallize faster. Generally, a higher melting temperature yields a higher solidification rate, except for PS. This shows that the melting temperature is not directly related to the solidification rate. There is a direct relation, however, for the ratio between the difference of melting temperature?crystallization temperature and equilibrium melting temperature (Tm-T)/Tm0.
We are grateful to and thank DRPM UI for the PITTA 2017 research grant that made it possible to conduct this research.
Atzeni, E., Iuliano, L., Minetola, P., Salmi, A., 2010. Redesign and Cost Estimation of Rapid Manufactured Plastic Parts. Rapid Prototyping Journal, Volume 16(5), pp. 308–317
Collins, J.B., Levine, H., 1985. Diffuse Interface Model of Diffusion-limited Crystal Growth. Physical Review B, Volume 31(9), pp. 6119–6122
Corinaldesi, V., Donnini, J., Nardinocchi, A., 2015. Lightweight Plasters Containing Plastic Waste for Sustainable and Energy-efficient Building. Construction and Building Materials, Volume 94, pp. 337–345
Ginzburg, V.L., Landau, L.D., 1950. The Theory of Superconductivity. Zh. Eksp. Teor. Fiz, Volume 20, pp. 1064–1082
Harrowell, P.R., Oxtoby, D.W., 1987. On the Interaction between Order and a Moving Interface: Dynamical Disordering and Anisotropic Growth Rates. Journal of Chemical Physics, Volume 86(5), pp. 2932–2942
Kittel, C., 2005. Introduction to Solid State Physics. Wiley Lovinger, A.J., Cais, R.E., 1984. Structure and Morphology of Poly(trifluoroethylene). Macromolecules, Volume 17(10), pp. 1939–1945
Micheletti, A., Burger, M., 2001. Stochastic and Deterministic Simulation of Non-isothermal Crystallization of Polymers. Journal of Mathematical Chemistry, Volume 30(2), pp. 169–193
Provatas, N., Elder, K., 2005. Ising Model of Magnetism. In: Phase-Field Methods in Material Science and Engineering, Wiley-VCH, New York, pp. 11–14
Raabe, D., Godara, A., 2005. Mesoscale Simulation of the Kinetics and Topology of Spherulite Growth during Crystallization of Isotactic Polypropylene (iPP). Modelling and Simulation in Materials Engineering, Volume 13, pp. 733–751
Ruderman, M.A., Kittel, C., 1954. Indirect Exchange Coupling of Nuclear Magnetic Moments by Conduction Electrons. Physical Review, Volume 96(1), pp. 99–102
Warren, J.A., Kobayashi, R., Lobkovsky, A.E., Carter, W.C., 2003. Extending Phase Field Models of Solidification to Polycrystalline Materials. Acta Materialia, Volume 51(20), pp. 6035–6058
Wheeler, A.A., Boettinger, W.J., McFadden, G.B., 1992. Phase-field Model for Isothermal Phase Transition in Binary Alloys. Physical Review A, Volume 45(10), pp. 7424–7439
Xu, H., Matkar, R., Kyu, T., 2005. Phase-field Modelling on Morphological Landscape of Isotactic Polystyrene Single Crystal. Physical Review E, Volume 72(1), 011804