TY - JOUR
T1 - An alternative alpha finite element method with discrete shear gap technique for analysis of isotropic Mindlin-Reissner plates
AU - Nguyen-Thanh, N.
AU - Rabczuk, Timon
AU - Nguyen-Xuan, H.
AU - Bordas, S.
N1 - Funding Information:
The author would like to thank the support of “Postgraduate Scholarship Regulation (ThuerGFVO)”. The third author would like to thank the support of the Vietnam National Foundation for Science and Technology Development (NAFOSTED). The support of the Royal Academy of Engineering and of the Leverhulme Trust for the Senior Research Fellowship of Professor Bordas is gratefully acknowledged (Title of the Grant: “Towards the next generation surgical simulators”).
PY - 2011/5
Y1 - 2011/5
N2 - An alternative alpha finite element method (AαFEM) 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 MindlinReissner plates. In the AαFEM, the piecewise constant strain field of linear triangular elements is enhanced by additional strain terms with an adjustable parameter α 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 Aα-DSG3 is obtained. Several numerical examples show that the Aα-DSG3 achieves high reliability compared to other existing elements in the literature. Through selection of α, under or over estimation of the strain energy can be achieved.
AB - An alternative alpha finite element method (AαFEM) 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 MindlinReissner plates. In the AαFEM, the piecewise constant strain field of linear triangular elements is enhanced by additional strain terms with an adjustable parameter α 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 Aα-DSG3 is obtained. Several numerical examples show that the Aα-DSG3 achieves high reliability compared to other existing elements in the literature. Through selection of α, under or over estimation of the strain energy can be achieved.
KW - Discrete shear gap (DSG)
KW - Finite element method
KW - Plate bending
KW - Smooth finite element method (SFEM)
KW - Transverse shear locking
UR - http://www.scopus.com/inward/record.url?scp=79551601213&partnerID=8YFLogxK
U2 - 10.1016/j.finel.2011.01.004
DO - 10.1016/j.finel.2011.01.004
M3 - Article
AN - SCOPUS:79551601213
SN - 0168-874X
VL - 47
SP - 519
EP - 535
JO - Finite Elements in Analysis and Design
JF - Finite Elements in Analysis and Design
IS - 5
ER -