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A novel complex variable element-free Galerkin method for two-dimensional large deformation problems

机译:二维大变形问题的新型无复变元Galerkin方法

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摘要

Based on complex variable theory and moving least-squares (MLS) approximation, the improved complex variable moving least-squares (ICVMLS) approximation is discussed in this paper. Compared with com-plex variable moving least-squares (CVMLS) approximation, the function in the ICVMLS approximation has an explicit physics meaning. By using a new basis function, the ICVMLS approximation can obtain greater precision and computational efficiency. Based on the ICVMLS approximation, an improved com-plex variable element-free Galerkin (ICVEFG) method, which belongs to a novel element free Galerkin (EFG) method, is presented for two-dimensional large deformation problems. The Galerkin weak form is employed to obtain the equations, while the penalty method is used to apply the essential boundary conditions. Then the corresponding formulae of the ICVEFG method for two-dimensional large deforma-tion problems are obtained. Compared with the EFG method, the ICVEFG method has greater precision and efficiency.
机译:基于复变量理论和移动最小二乘(MLS)近似,本文讨论了改进的复变量移动最小二乘(ICVMLS)近似。与复变量移动最小二乘(CVMLS)近似相比,ICVMLS近似中的函数具有明确的物理意义。通过使用新的基函数,ICVMLS近似可以获得更高的精度和计算效率。基于ICVMLS近似,针对二维大变形问题,提出了一种改进的无变量复合Galerkin方法(ICVEFG),该方法属于新型无要素Galerkin(EFG)方法。采用Galerkin弱形式获得方程,而采用罚分法应用基本边界条件。然后,获得了二维大变形问题的ICVEFG方法的相应公式。与EFG方法相比,ICVEFG方法具有更高的精度和效率。

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