期刊
COMPUTATIONAL MECHANICS
卷 55, 期 1, 页码 105-126出版社
SPRINGER
DOI: 10.1007/s00466-014-1085-2
关键词
Resultant solid-shell element; Smoothed finite element method (SFEM); Polygonal element; Strain smoothing; Mesh sensitivity; Accuracy
资金
- Department of Mechanical Engineering of Laval University
- Consortium for Research and Innovation in Aerospace in Quebec (CRIAQ)
- Martinique Regional Council
- European Social fund
- Aluminum Research Center (REGAL)
A smoothed finite element method formulation for the resultant eight-node solid-shell element is presented in this paper for geometrical linear analysis. The smoothing process is successfully performed on the element mid-surface to deal with the membrane and bending effects of the stiffness matrix. The strain smoothing process allows replacing the Cartesian derivatives of shape functions by the product of shape functions with normal vectors to the element mid-surface boundaries. The present formulation remains competitive when compared to the classical finite element formulations since no inverse of the Jacobian matrix is calculated. The three dimensional resultant shell theory allows the element kinematics to be defined only with the displacement degrees of freedom. The assumed natural strain method is used not only to eliminate the transverse shear locking problem encountered in thin-walled structures, but also to reduce trapezoidal effects. The efficiency of the present element is presented and compared with that of standard solid-shell elements through various benchmark problems including some with highly distorted meshes.
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