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The Application of Multiscale Implicit Finite Element Method in LCM Process Simulations

Author: ZhangMingCui
Tutor: ChenXiaoJiang
School: Wuhan University of Technology
Course: Applied Mathematics
Keywords: LCM process Resin flow Numerical Simulation Implicit multiscale finite element method
CLC: O241.82
Type: Master's thesis
Year: 2010
Downloads: 37
Quote: 0
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Abstract


Liquid composite molding (Liquid Composites Molding, LCM) technology in recent years developed a high-performance low-cost manufacturing technology of advanced composite materials. The efficient production of stable performance composite components key technology is a reasonable choice of process parameters to improve the effect of resin infiltration. However, if only through the experimental method to optimize the LCM process parameters, costs tend to be higher, and time-consuming. Numerical simulation based design became overcome these difficult economic and effective way. In this paper, the multi-scale implicit finite element method, by constructing a multi-scale basis functions to improve the traditional implicit finite element method, the numerical simulation of the filling process of LCM process, no additional the divided control volume unit not strictly time step size restrictions, the analysis of the transient process of the mold filling process can be more reasonable, the solution can be obtained in the coarse scale to capture the characteristics of the fine scale, thereby overcoming the traditional implicit finite element method in order to obtain higher accuracy, precision triangulation shortcomings. The main research work are as follows: (1) The improvement of the basis functions of the traditional implicit finite element method, multiscale finite element method established by solving the local equation multiscale basis functions, the micro-scale information is carried into the base function such that the solution of the macro-scale micro-scale information. (2) the implicit multiscale finite element method algorithm design, the fill factor calculated correction to ensure that the fill factor [0,1]. (3) in the LCM process, the resin impregnated in between the fibers as a Newtonian fluid flow in porous media, the implicit multiscale finite element method based on the mathematical model of the flow behavior of the resin, derived resin flow The control equations finite element numerical formula, and the preparation of a computer numerical simulation program. (4) use of multi-scale implicit finite element method and traditional implicit finite element method to the numerical simulation of the the LCM process in the resin flow behavior, a comparative analysis of the calculation results of the two algorithms; increase the injection port of the filling time effects. In this paper, the results obtained by the two algorithms compare and instance analysis proved implicit multiscale finite element method can effectively predict the pressure distribution and resin flow front position, and has a higher accuracy, optimize the molding process parameters, design of mold and propose a new algorithm to ensure product quality. From the simulation results can be seen, increase the injection port can significantly shorten the filling time.

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CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > The numerical solution of differential equations, integral equations > Numerical Solution of Partial Differential Equations
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