Enhanced one-point quadrature shell element for nonlinear applications

被引:19
作者
Cardoso, Rui P. R.
Yoon, Jeong Whan
Valente, Robertt A. F.
机构
[1] Univ Aveiro, Dept Mech Engn, P-3810193 Aveiro, Portugal
[2] Alcoa Tech Ctr, Alcoa Ctr, PA 15069 USA
关键词
reduced integration; membrane locking; transverse shear locking; enhanced assumed strain; resultant stresses; nonlinear hourglass control;
D O I
10.1002/nme.1784
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This work is an extension to nonlinear applications of a previously published work (Int. J. Numer Meth. Engng 2006; 66:214-249) about membrane and transverse shear improvement for one-point quadrature shell elements. A new formulation based on the enhanced assumed strain method and reduced integration techniques, called iCYSE-E6 (improved Cardoso and Yoon shell element with 6 enhanced parameters) was suggested by Cardoso et al. to improve membrane and transverse shear performances under the framework of linear applications. It was proven that the proposed linear formulation gives accurate responses, even with extremely coarse meshes. The proposed extension of this work is then performed in such a way that the resulting new finite element can be applied in general simulations with nonlinearities in geometry, material and contact. The interaction among hourglass and enhanced assumed strain stiffness matrices and internal force vectors is taken into account in the present formulation. Special emphasis is given for the construction of nonlinear hourglass terms such that excessive hourglass energy in elastoplastic applications can be controlled efficiently. The finite element matrices are constructed in resultant form, allowing a much simpler and effective formulation for the hourglass terms, and also for the coupling between the constant and the enhanced strain-displacement matrices. It is shown that the present formulation is accurate in demanding problems, even for the cases of relatively large coarse mesh structures. The paper presents several nonlinear examples to assess the element's performance. Copyright (c) 2006 John Wiley & Sons, Ltd.
引用
收藏
页码:627 / 663
页数:37
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