TY - JOUR
T1 - An alternative alpha finite element method (AαFEM) for free and forced structural vibration using triangular meshes
AU - Nguyen-Thanh, N.
AU - Rabczuk, Timon
AU - Nguyen-Xuan, H.
AU - Bordas, Stéphane P.A.
N1 - Funding Information:
We thank the support of the Research Training Group 1462, grant number 220 200 72. 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 - 2010/3/1
Y1 - 2010/3/1
N2 - An alternative alpha finite element method (AαFEM) using triangular elements is proposed that significantly improves the accuracy of the standard triangular finite elements and provides a superconvergent solution in the energy norm for the static analysis of two-dimensional solid mechanics problems. In the AαFEM, the piecewise constant strain field of linear triangular FEM models is enhanced by additional strain terms with an adjustable parameter α which results in an effectively softer stiffness formulation compared to a linear triangular element. The element is further extended to the free and forced vibration analyses of solids. Several numerical examples show that the AαFEM achieves high reliability compared to other existing elements in the literature.
AB - An alternative alpha finite element method (AαFEM) using triangular elements is proposed that significantly improves the accuracy of the standard triangular finite elements and provides a superconvergent solution in the energy norm for the static analysis of two-dimensional solid mechanics problems. In the AαFEM, the piecewise constant strain field of linear triangular FEM models is enhanced by additional strain terms with an adjustable parameter α which results in an effectively softer stiffness formulation compared to a linear triangular element. The element is further extended to the free and forced vibration analyses of solids. Several numerical examples show that the AαFEM achieves high reliability compared to other existing elements in the literature.
KW - Alpha finite element method (αFEM)
KW - Finite element method (FEM)
KW - Node-based smoothed finite element method (NS-FEM)
KW - Numerical methods
UR - http://www.scopus.com/inward/record.url?scp=73549107207&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2009.08.117
DO - 10.1016/j.cam.2009.08.117
M3 - Article
AN - SCOPUS:73549107207
SN - 0377-0427
VL - 233
SP - 2112
EP - 2135
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 9
ER -