𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A smoothed finite element method for shell analysis

✍ Scribed by N. Nguyen-Thanh; Timon Rabczuk; H. Nguyen-Xuan; Stéphane P.A. Bordas

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
890 KB
Volume
198
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis

A four-node quadrilateral shell element with smoothed membrane-bending based on Mindlin-Reissner theory is proposed. The element is a combination of a plate bending and membrane element. It is based on mixed interpolation where the bending and membrane stiffness matrices are calculated on the boundaries of the smoothing cells while the shear terms are approximated by independent interpolation functions in natural coordinates. The proposed element is robust, computationally inexpensive and free of locking. Since the integration is done on the element boundaries for the bending and membrane terms, the element is more accurate than the MITC4 element for distorted meshes. This will be demonstrated for several numerical examples.

📜 SIMILAR VOLUMES

Parallel multilevel preconditioners for
Parallel multilevel preconditioners for thin smooth shell finite element analysis
✍ Michael Thess 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 604 KB

In recent years multilevel preconditioners like BPX have become more and more popular for solving secondorder elliptic finite element discretizations by iterative methods. P. Oswald has adapted these methods for discretizations of the fourth order biharmonic problem by rectangular conforming Bogner-

On the smoothed finite element method
On the smoothed finite element method
✍ H.-H. Zhang; S.-J. Liu; L.-X. Li 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 106 KB

## Abstract Recently, Liu __et al__. proposed the smoothed finite element method by using the non‐mapped shape functions and then introducing the strain smoothing operator when evaluating the element stiffness in the framework of the finite element method. However, the theories and examples by Liu