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Evaluation of stiffness matrix in finite element analysis using element edge method for the 8-node brick element

机译:用8节点砖单元的单元边法在有限元分析中评估刚度矩阵

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摘要

An element edge method is developed for the evaluation of stiffness matrix for the 8-node brick element. Handling of large data leads to take more computational time in finite element analysis. The new set of quadrature consist of 13 sampling points and weights out which 12 points are at the edges of the brick element and one point is considered at the center of the element. The new set of sampling points is a mimic of Gauss numerical integration method. Finally, the proposed element edge method is evaluated using the standard benchmarked problems and compared the results with conventional Gauss integration method and found that CPU execution time for the evaluation of finite element problems are found to be reduced considerably without compromising in the results mainly consist of accuracy of values and convergence rate.
机译:开发了一种元素边缘方法来评估8节点砖单元的刚度矩阵。处理大数据会导致有限元分析花费更多的计算时间。新的正交集包括13个采样点和权重,其中12个点位于砖块元素的边缘,一个点被视为元素的中心。新的采样点集模仿了高斯数值积分方法。最后,使用标准基准问题对提出的元素边缘法进行了评估,并将结果与​​常规高斯积分方法进行了比较,发现用于评估有限元问题的CPU执行时间被大大减少,而不会影响结果,主要包括:值的准确性和收敛速度。

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