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      Research Article       
       
      ScienceAsia 27 (2001) : 127-132 |doi: 10.2306/scienceasia1513-1874.2001.27.127 
        
            Mathematical Modeling of Solidification of Semicrystalline Polymers under Quiescent Non-isothermal Crystallization: Determination of Crystallite’s Size
             
          Thananchai Leephakpreeda*
           
            ABSTRACT: In this paper, a mathematical model for the solidification of the semi-crystalline polymers is 
            proposed to predict the size of the crystallites. In addition to the degree of the crystallinity, the size of 
            the crystallites is one of the structural variables, which can shape the mechanical properties of the 
            polymer materials. During the quiescent non-isothermal processes, the mean radius of crystallites is a 
            function of both nucleation and growth process. The density of the potential nuclei is assumed to 
            follow the nucleation law. With the stochastic approach, the nucleation centers and the activation 
            temperatures are randomly assigned to these potential nuclei. A radial front-tracking method is used to 
            determine the evolution of the shapes of crystallites, according to the dependence of the growth rate on 
            the temperature. In a realistic study of solidifying High Density Polyethylene, the simulation results 
            allow us to predict the mean size of the crystallites at the various cooling rates. 
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          School of Industrial and Mechanical Engineering, Sirindhorn International Institute of Technology, Rangsit Campus, Thammasat University, Bangkok, Thailand. 
             
            * Corresponding author, E-mail: Thanan@siit.tu.ac.th 
           
          Received 28 Sep 1999, Accepted 26 Jan 2001 
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