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THE FINITE-ELEMENT METHOD IN PLATE BENDING ANALYSIS:TRIANGULAR ELEMENTS WITH ASSUMED STRESS DISTRIBUTIONS

机译：板弯曲分析中的有限元方法：具有应力分布的三角形单元

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In this study, a method for the derivation of plate element stiffness matrices based on the principle of minimum complementary energy using assumed stress distributions is described. The method was developed ori¬ginally by PIAN (1964) in dealing with problems of plane stress and then extended by SEVERN and TAYLOR (1966) to problems concerning plate bending.nExamples of square plates in bending are investigated. Emphasi6 is placed on solving a series of clamped square plates of various mesh sizes subjected to uniform loading. An idea of the accuracy of each mesh size is obtained by comparison with a known analytical series solution. The finite element solution shows an improvement in structural analysis when the element stiffness matrices satisfy both internal equilibrium and displacement compatibility with adjacent elements.

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作者
Terng-Fen Song;
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年度 1970
页码 1-76
总页数 76
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Bending; Finite element method; Stress concentration; Flat plates; Loads (forces); Rectangular plates; Series (mathematics); Structural analysis; Triangles;

机译：弯曲;有限元法;应力集中;平板;载荷（力）;矩形板;系列（数学）;结构分析;三角形;

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专利

1. An isostatic assumed stress triangular element for the Reissner-Mindlin plate-bending problem [J] . Brasile S International Journal for Numerical Methods in Engineering . 2008,第6期

机译：Reissner-Mindlin板弯曲问题的等静压假定三角单元
2. MIXED FINITE-ELEMENT METHOD FOR THE IMPROVED STATEMENT OF THE PROBLEM OF INTERLAYER CONTACT. PART 2. NUMERICAL ANALYSIS OF CONTACT BENDING STRESSES IN LAYERED PLATES [J] . Marchuk M.V., Khomyak M.M. Strength of Materials . 2000,第2期

机译：改进的层间接触问题陈述的混合有限元方法。第2部分。层合板中接触弯曲应力的数值分析
3. Mixed scheme of the finite-element method for the investigation of the interlayer contact problem in the refined formation. part 2: numerical analysis of contact stresses for bending of multilayer plates [J] . Marchuk M. V., Khomyak M. M. Проблемы прочностиПроблемы прочности: на рус．укр．и анг．языках . 2000,第2期

机译：有限元方法的混合方案，用于研究精炼地层中的层间接触问题。第2部分：多层板弯曲接触应力的数值分析
4. Transient analysis of composite sandwich plates using assumed strain plate bending elements based on Reddy's higher order theory [C] . A K Nayak, R A Shenoi, S S JMoy, International conference on advanced polymer composites for structural applications in construction . 2002

机译：基于Reddy高阶理论的假定应变板弯曲元件复合夹层板的瞬态分析
5. APPLICATION OF THE FINITE-ELEMENT METHOD TO PROBLEMS OF TEMPERATURE DISTRIBUTION ANALYSIS FOR BODIES OF WATER [D] . MA, PAUL SHIH-SHENG. 1974

机译：有限元法在水体温度分布分析中的应用
6. A deep learning approach to estimate stress distribution: a fast and accurate surrogate of finite-element analysis [O] . Liang Liang, Minliang Liu, Caitlin Martin, 2018

机译：估计应力分布的深度学习方法：快速准确的有限元分析替代方法
7. A simple assumed strain method for enhancing the accuracy of the cubic triangular C degree plate bending element [O] . Sze KY, Zhu D 1998

机译：一种简单的假设应变方法，用于提高立方三角形C度板弯曲元件的精度
8. Assumed Stress Hybrid Finite-Element Method for Fracture Mechanics and Elastic-Plastic Analysis [R] . Luk, C. H. 1972

机译：断裂力学和弹塑性分析的假设应力混合有限元法

THE FINITE-ELEMENT METHOD IN PLATE BENDING ANALYSIS:TRIANGULAR ELEMENTS WITH ASSUMED STRESS DISTRIBUTIONS

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