史宝军, 鹿晓阳, 许焕然. 建立杂交/混合元模型的一种简明列式方法及其在薄板弯曲问题中的应用[J]. 工程力学, 1999, 16(5): 113-118.
引用本文: 史宝军, 鹿晓阳, 许焕然. 建立杂交/混合元模型的一种简明列式方法及其在薄板弯曲问题中的应用[J]. 工程力学, 1999, 16(5): 113-118.
SHI Bao-jun, LU Xiao-yang, XU Huan-ran. A CONCISE FORMULATION METHOD OF HYBRID/MIXED MODELS AND ITS APPLICATIONS IN THIN PLATE BENDING PROBLEMS[J]. Engineering Mechanics, 1999, 16(5): 113-118.
Citation: SHI Bao-jun, LU Xiao-yang, XU Huan-ran. A CONCISE FORMULATION METHOD OF HYBRID/MIXED MODELS AND ITS APPLICATIONS IN THIN PLATE BENDING PROBLEMS[J]. Engineering Mechanics, 1999, 16(5): 113-118.

建立杂交/混合元模型的一种简明列式方法及其在薄板弯曲问题中的应用

A CONCISE FORMULATION METHOD OF HYBRID/MIXED MODELS AND ITS APPLICATIONS IN THIN PLATE BENDING PROBLEMS

  • 摘要: 本文应用加权残量法基本原理,从物理一几何关系弱形式出发,直接离散单元应力场,给出了一种建立杂交/混合元模型的简明列式方法。该列式方法不依赖于任何广义变分原理,推导过程简洁、直观,物理意义明确。作者基于该列式,构造了一些性能优良的薄板弯曲单元。文后给出若干数值算例。

     

    Abstract: In this paper, a concise formulation method of Hybriffeed modes is presented. It is derived from the weak form of physical-geomtry relation by using the bedc principle of weighted residual method to discretize the stress in an element None of variational principles is used in its simple and direct derivation process which has clear physical meanings Several thin plate bending elements are constructed Some numerical examples are also given.

     

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