Mesh-distortion immunity assessment of QUAD8 elements by strong-form patch tests

Communications in Numerical Methods in Engineering

Volumn 23, Issue 2, 2007, Pages 157-168

  Rajendran, S ^a   Ooi, E T ^a   Yeo, J H ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Distortion immunity; Distortion sensitivity; Distortion tolerance; Mesh distortion assessment; Patch test; US QUAD8

Indexed keywords

COMPUTER SIMULATION; DEFECTS; DISTORTION (WAVES); MATHEMATICAL MODELS;

DISTORTION IMMUNITY; DISTORTION SENSITIVITY; DISTORTION TOLERANCE; MESH-DISTORTION ASSESSMENT; PATCH TEST;

STRAIN;

COMPUTER SIMULATION; DEFECTS; DISTORTION (WAVES); MATHEMATICAL MODELS; STRAIN;

EID: 33846848069     PISSN: 10698299     EISSN: 10990887     Source Type: Journal    
DOI: 10.1002/cnm.893     Document Type: Article

References (13)

1. Irons BM. Numerical integration applied to finite element methods. Conference on Use of Digital Computers in Structural Engineering, University of Newcastle, 1966.
2. Taylor RL, Simo JC, Zienkiewicz OC, Chan AHC. The patch test - a condition for assessing FEM convergence. International Journal for Numerical Methods in Engineering 1986; 22:39-62.
3. Fraeijs de Veubeke B. Variational principles and the patch test. International Journal for Numerical Methods in Engineering 1974; 8:783-801.
4. Sander G, Beckers P. The influence of the choice connectors in the finite element method. International Journal for Numerical Methods in Engineering 1977; 11:1491-1505.
5. de Arantes Oliveira ER. The patch test and the general convergence criteria of the finite element method. International Journal of Solids and Structures 1977; 13:159-178.
6. Zienkiewicz OC, Taylor RL. The finite element patch test revisited. A computer test for convergence, validation and error estimators. Computer Methods in Applied Mechanics and Engineering 1997; 149:223-254.
7. Zienkiewicz OC, Taylor RL. The Finite Element Method. Vol. 1: Basic Formulation and Linear Problems (4th edn). McGraw-Hill Book Company: London, 1989.
8. Wilson EL, Taylor RI, Doherty WP, Ghaboussi J. Incompatible displacement models. In Numerical and Computer Methods in Structural Mechanics, Fenves SJ et al. (eds). Academic Press: New York, 1973; 43-57.
9. Bathe KJ. Finite Element Procedures. Prentice-Hall: Englewood Cliffs, NJ, 1996.
10. Bathe KJ. The inf-sup condition and its evaluation for mixed finite element methods. Computers and Structures 2001; 79:243-252, 971.
11. Rajendran S, Liew KM. A novel unsymmetric 8-node plane element immune to mesh distortion under a quadratic displacement field. International Journal for Numerical Methods in Engineering 2003; 58:1713-1748.
12. Rajendran S, Liew KM. Completeness requirements of shape functions for higher order elements. Structural Engineering and Mechanics 2000; 10(2):93-110.
13. Lee NS, Bathe KJ. Effects of element distortions on the performance of isoparametric elements. International Journal for Numerical Methods in Engineering 1993; 36:3553-3576.