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论文类型：期刊论文

发表时间：2018-01-01

发表刊物：ENGINEERING COMPUTATIONS

收录刊物：SCIE、Scopus

卷号：35

期号：8

页面范围：2722-2752

ISSN号：0264-4401

关键字：Finite element methods; Hellinger-Reissner variational principle; Quasi-conforming; Reissner-Mindlin plate theory; Timoshenko beam function

摘要：Purpose - A higher-order Reissner-Mindlin plate element method is presented based on the framework of assumed stress quasi-conforming method and Hellinger-Reissner variational principle. A novel six-node triangular plate element is proposed by utilizing this method for the static and free vibration analysis of Reissner-Mindlin plates.
   Design/methodology/approach - First, the initial assumed stress field is derived by using the fundamental analytical solutions which satisfy all governing equations. Then the stress matrix is treated as the weighted function to weaken the strain-displacement equations after the strains are derived by using the constitutive equations. Finally, the arbitrary order Timoshenko beam function is adopted as the string-net functions along each side of the element for strain integration.
   Findings - The proposed element can pass patch test and is free from shear locking and spurious zero energy modes. Numerical tests show that the element can give high-accurate solutions, good convergence and is a good competitor to other models.
   Originality/value - This work gives new formulations to develop high-order Reissner-Mindlin plate element, and the new strategy exhibits advantages of both analytical and discrete methods.