离散元与有限元结合的多尺度方法及其应用

Combined Discrete/Finite Element Multiscale Numerical Method and Its Application

  • 摘要: 在深入研究复杂结构和非均质材料冲击响应和破坏机理的过程中,往往遇到多尺度计算问题.提出并建立起离散元与有限元结合的多尺度方法,该方法采用离散元对感兴趣的局部进行细观尺度的模拟,利用有限元进行宏观的模拟,从而节约了计算时间.采用一种特殊的过渡层衔接离散元区和有限元区.将这一方法应用于激光辐照下预应力铝板的破坏响应,并将得到的模拟结果与实验进行了比较.

     

    Abstract: Analysis of a variety of engineering problems requires computations at different length scales. A combined discrete/finite element numerical method is proposed and generated to meet this requirement. This method performs discrete element method at meso-scale to reach necessary precision, and finite element method at macro-scale to save the computation time and cost. The key point for this method is to define a special transition layer between the discrete element zone and the finite element zone. This new method is applied to simulate the failure response of a pre-stressed aluminum plate under laser irradiation and find agreement between the computationan result and the experimental result.

     

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