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计算数学  1993 

RECTANGULAR REISSNER-MINDLIN PLATE ELEMENTS BASED ON TAYLOR''S FORMULA
基于台劳展式的矩形Reissner-Mindlin板元

Keywords: 泰勒展式,R-M板元,,弯曲

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Abstract:

Using Taylor's formula in calculus we give a mathematical analysis of the locking beha-viour exhibited in the finite element approximation of Reissner-Mindlin plate as the thicknessof the plate tends to zero. Based on this analvsis we present a simple and efficient method toconstruct locking free rectangular Reissner-Mindlin plate elements. Two rectangular Reissner-Mindlin plate elements based on this method--ETF4 and ETF9--are presented. Numericalresults show that ETF4 and ETF9 are locking free and have good convergence behaviour.

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