Extended Penalty Coefficients For Elimination The Locking Effects In Moderately Thick Beam And Plate Finite Elements

作者: W. Gilewski

DOI: 10.2478/ACE-2014-0025

关键词: Strain energyFinite element methodEnergy (signal processing)Mathematical analysisBeam (structure)Structural engineeringElement (category theory)Term (logic)Consistency (statistics)Stiffness matrixEngineering

摘要: The present paper is dedicated to presentation and energy verifi cation of the methods stabilization strain by penalty coeffi cients. Verifi based on consistency ellipticity conditions be satisfi ed fi nite elements. Three are discussed. rst does not satisfy above requirements. second consistent but cannot eliminate parasitic terms. third method, proposed author, decomposition element stiffness matrix. method can help locking For two-noded beam with linear shape functions exact integration a stabilized free (and elliptical) received (equivalent reduced element). Two plate elements analyzed: four-noded rectangular DSG triangle. A new use four independent parameters proposed. finite this kind condition. In it was possible one term which appears during procedure. triangle all terms eliminated. cients depends geometry

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