𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the smoothed finite element method

✍ Scribed by H.-H. Zhang; S.-J. Liu; L.-X. Li

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
106 KB
Volume
76
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis

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 et al. are not sufficient for general quadrilateral elements. This paper shows that the non‐mapped shape functions used in the smoothed finite element have disadvantages in existence, linearity, non‐negativity and patch test. Copyright Β© 2008 John Wiley & Sons, Ltd.

πŸ“œ SIMILAR VOLUMES

On using different recovery procedures f
On using different recovery procedures for the construction of smoothed stress in finite element method
✍ S. H. Lo; C. K. Lee πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 458 KB πŸ‘ 2 views

The performance of three different stress recovery procedures, namely, the superconvergent patch recovery technique (SPR), the recovery by equilibrium in patches (REP) and a combined method known as the LP procedure is reviewed. Different order of polynomials and various patch formation strategies h

On computing upper and lower bounds on t
On computing upper and lower bounds on the outputs of linear elasticity problems approximated by the smoothed finite element method
✍ Z. C. Xuan; T. Lassila; G. Rozza; A. Quarteroni πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 268 KB πŸ‘ 1 views

## Abstract Verification of the computation of local quantities of interest, e.g. the displacements at a point, the stresses in a local area and the stress intensity factors at crack tips, plays an important role in improving the structural design for safety. In this paper, the smoothed finite elem