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关于弹塑性边界元分析的迭代收敛性

李文龙 张相麟

李文龙, 张相麟. 关于弹塑性边界元分析的迭代收敛性[J]. 应用数学和力学, 1988, 9(1): 83-89.
引用本文: 李文龙, 张相麟. 关于弹塑性边界元分析的迭代收敛性[J]. 应用数学和力学, 1988, 9(1): 83-89.
Li Wen-long, Zhang Xiang-lin. On the Convergence of Elastopiastic Boundary Element Analysis[J]. Applied Mathematics and Mechanics, 1988, 9(1): 83-89.
Citation: Li Wen-long, Zhang Xiang-lin. On the Convergence of Elastopiastic Boundary Element Analysis[J]. Applied Mathematics and Mechanics, 1988, 9(1): 83-89.

关于弹塑性边界元分析的迭代收敛性

On the Convergence of Elastopiastic Boundary Element Analysis

  • 摘要: 迭代过程是弹塑性边界元法的核心部分,文中对边界元弹塑性分析的迭代收敛性问题作了详细地理论分析和讨论.
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    [2] Mendelson,A.,Boundary integral method in elasticity and plasticity,Report No.NASA TN D-7418(1973).
    [3] Muhkerjee,S.,Corrected boundary integral equations in planar thermoelastoplasticity,Int.J.Solids Structures,13(1977),331.
    [4] Bui,H.D.,Some remarks about the formulation of three dimensional thermoelastoplastic problems by integral equations Int.J.Solids Structures,14(1978)935.
    [5] Telles,J.C.F.and C.A.Brebbia,On the application of the boundary element method to plasticity,Appl.Math.Modelling,3(1979),446.
    [6] Cathie,D.N.,On the implementation of elastoplastic boundary element analysis,Appl.Math.Modelling,5(1981),39.
    [7] Banerjee,P.K.and G.G.Mustoe,The boundary element method for two dimensional problems of elastoplasticity,in Recent Advances in Boundary Element Methods,(ed.Brebbia)University of Southampton,Southampton(1978),283.
    [8] Telles,J.C.F.and C.A.Brebbia,The boundary element method in plasticity.,in New Development in Boundary Element Methods(ed.Brebbia)(1980),CML Publications Limited,295.
    [9] Brebbia,C.A.(Ed.),Progress in Boundary Element Methods,Pentech Press,London(1981).
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    [11] 冯康等,《数值计算方法》,国防工业出版社(1978).
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    [13] Lipschutz,S.,Linear Algebra,McGraw-Hill,Inc.(1974).
    [14] Argyris,J.H.and D.W.Scharpf,《固体力学中的有限元素法》(译文集),科学出版社(1977),166.
    [15] 李文龙、张克健,关于边界元法迭氏收敛性和加速法的研究,《兵工学会应用力学研究会会议论文》(1984).
    [16] Li,W.L.and K.J.Zhang,Boundary element analysis of soil response to track load,Proceedings of the First Asian-Pacific Conference for ISTVS,China(1986).(to be published).
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出版历程
  • 收稿日期:  1985-09-14
  • 刊出日期:  1988-01-15

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