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52 附 錄 Numerical Filling Simulation of Injection Molding Using Three— Dimensional Model Abstract: Most injection molded parts are threedimensional, with plex geometrical configurations and thick/ thin wall sections. A 3D simulation model will predict more accurately the filling process than a paper gives a mathematical model and numeric method based on 3D model, in which an equalorder velocitypressure interpolation method is employed successfully. The relation between velocity and pressure is obtained from the discretized momentum equations in order to derive the pressure equation. A 3D control volume scheme is employed to track the flow front. The validity of the model has been tested through the an analysis of the flow in cavity. Key words: three dimension; equalorder interpolation; simulation; injection molding 1 Introduction During injection molding, the theological response of polymer melts is generally nonNewtonian and no isothermal with the position of the moving flow front. Because of these inherent factors, it is difficult to analyze the filling process. Therefore, simplifications usually are used. For example, in middleplane technique and dual domain technique[1], because the most injection molded parts have the characteristic of being thin but generally of plex shape, the HeleShaw approximation [2] is used while an analyzing the flow, .. The variations of velocity and pressure in the gapwise (thickness) dimension are neglected. So these two techniques are both mold filling models, in which the filling of a mold cavity bees a 2D problem in flow direction and a 1D problem in thickness direction. However, because of the us e of the HeleShaw approximation, the information that models can generate is limited and inplete. The variation in the gapwise (thickness) dimension of the physical quantities with the exception of the temperature, which is solved by finite difference method, is neglected. With the development of molding techniques, molded 華東交通大學(xué)理工學(xué)院畢業(yè)設(shè)計(jì)(論文) 53 parts will have more and more plex geometry and the difference in the thickness will be more and more notable, so the change in the gapwise (thickness) dimension of the physical quantities can not be neglected. In addition, the flow simulated looks unrealistic in as much as the melt polymer flows only on surfaces of cavity, which appears more obvious when the flow simulation is displayed in a mould cavity. 3D simulation model has been a research direction and hot spot in the scope of simulation for plastic injection molding. In 3D simulation model, velocity in the gapwise (thickness) dimension is not neglected and the pressure varies in the direction of part thickness, and 3 D finite elements are used to discretize the part geometry. After calculating, plete data are obtained(not only surface data but also internal data are obtained). Therefore, a 3D simulation m