韩治, 杨海天, 王斌. 无网格伽辽金法求解轴对称问题[J]. 工程力学, 2005, 22(5): 64-68.
引用本文: 韩治, 杨海天, 王斌. 无网格伽辽金法求解轴对称问题[J]. 工程力学, 2005, 22(5): 64-68.
HAN Zhi, YANG Hai-tian, WANG Bin. SOLVING AXISYMMETRIC PROBLEMS VIA EFGM[J]. Engineering Mechanics, 2005, 22(5): 64-68.
Citation: HAN Zhi, YANG Hai-tian, WANG Bin. SOLVING AXISYMMETRIC PROBLEMS VIA EFGM[J]. Engineering Mechanics, 2005, 22(5): 64-68.

无网格伽辽金法求解轴对称问题

SOLVING AXISYMMETRIC PROBLEMS VIA EFGM

  • 摘要: 将无网格技术用于求解轴对称问题,通过加权余量法导出了无网格伽辽金法计算公式,考虑了不同介质的影响,编制了相应的计算程序,并对钢筋对混凝土管性能的影响进行了弹性和粘弹性的计算分析,与其它解相比,得到令人满意的数值结果.在粘弹性问题求解过程中,采用一种时间域自适应精细算法,给出了的径向位移与环向应力误差收敛速率曲线.

     

    Abstract: An EFGM(Element Free Galerkin Method) based algorithm is developed to solve axisymmetric problems in this paper.Formulation is established via a conventional weighted residual technique.Numerical examples of reinforced concrete pipes are studied to validate the proposed approach.Both elastic and visco-elastic cases are taken into account.For the case of viscoelasticity,a self-adaptive precise algorithm in the time domain is employed.Satisfactory results are obtained in terms of convergence rates of displacement and stress,agreeing with other solutions.

     

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