An alternative alpha finite element method with discrete shear gap technique for analysis of isotropic Mindlin-Reissner plates

Authors:
N. Nguyen-Thanh;Timon Rabczuk;H. Nguyen-Xuan;S. Bordas
Affiliations:
Institute of Structural Mechanics, Bauhaus of University, Marienstrae 15, 99423 Weimar, Germany;Institute of Structural Mechanics, Bauhaus of University, Marienstrae 15, 99423 Weimar, Germany;Department of Mechanics, Faculty of Mathematics and Computer Science, University of Science-VNU HCM, 227 Nguyen Van Cu Street, Ho Chi Minh City, Viet Nam and Division of Computational Mechanics, T ...;Institute of Modelling and Simulation in Mechanics and Materials, School of Engineering Cardiff University, Queen's Buildings, The Parade, Cardiff CF24 3AA, Wales, UK
Venue:
Finite Elements in Analysis and Design
Year:
2011

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Abstract

An alternative alpha finite element method (A@aFEM) coupled with a discrete shear gap technique for triangular elements is presented to significantly improve the accuracy of the standard triangular finite elements for static, free vibration and buckling analyses of Mindlin-Reissner plates. In the A@aFEM, the piecewise constant strain field of linear triangular elements is enhanced by additional strain terms with an adjustable parameter @a which results in an effectively softer stiffness formulation compared to the linear triangular element. To avoid the transverse shear locking, the discrete shear gap technique (DSG) is utilized and a novel triangular element, the A@a-DSG3 is obtained. Several numerical examples show that the A@a-DSG3 achieves high reliability compared to other existing elements in the literature. Through selection of @a, under or over estimation of the strain energy can be achieved.