黄玉盈, 钟伟芳, 朱达善, 李四平, 王和慧. 各向异性中厚度板壳的弹塑性大变形分析[J]. 工程力学, 1995, 12(3): 77-85.
引用本文: 黄玉盈, 钟伟芳, 朱达善, 李四平, 王和慧. 各向异性中厚度板壳的弹塑性大变形分析[J]. 工程力学, 1995, 12(3): 77-85.
Huang Yuying, Zhong Weifang, Zhu Dashan, Lie Siping, Wang Hehui. FINITE ELEMENT ANALYSIS FOR ANISOTROPIC THICK PLATES AND SHELLS WITH GEOMETRIC AND MATERIAL NONLINEARITIES[J]. Engineering Mechanics, 1995, 12(3): 77-85.
Citation: Huang Yuying, Zhong Weifang, Zhu Dashan, Lie Siping, Wang Hehui. FINITE ELEMENT ANALYSIS FOR ANISOTROPIC THICK PLATES AND SHELLS WITH GEOMETRIC AND MATERIAL NONLINEARITIES[J]. Engineering Mechanics, 1995, 12(3): 77-85.

各向异性中厚度板壳的弹塑性大变形分析

FINITE ELEMENT ANALYSIS FOR ANISOTROPIC THICK PLATES AND SHELLS WITH GEOMETRIC AND MATERIAL NONLINEARITIES

  • 摘要: 本文提出了一个解各向异性中厚度板壳弹塑性大变形问题的一般有限元方法。几何非线性的描述采用V. Karman的位移应变关系;材料的弹塑性分析采用Hill推广的Huber-Mises屈服准则;借用Owen的剪切修正系数,正确计及了叠层复合材料壳体的横向剪切效应。特别是本文利用插值外推的思想,提出了一个带预测的弧长增量控制法,显著提高了计算塑性大变形和后屈曲路径的效率。几个数值算例表明本文给出的有限元方法对于各种各向异性壳体的弹塑性大变形分析有较好的精度。

     

    Abstract: Based on Karman's model describing large deformation of plates and shells, a general FEM for analyzing anisotropic plates and shells with moderate thickness is undertaken.The Huber-Mises yield surface extended by Hill and the nine-node Heterosis element are introduced into the present computational model. In order to increase the accuracy and the speed of convergence an improving arc-length iteration method for solving nonlinear increment finite element equations is presented. Numerical examples are given and compared with available solution. It is shown that the proposed method is more efficient than existing finite element method.

     

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