On mixed finite element formulations and stress recovery techniques

International Journal for Numerical Methods in Engineering

Volumn 47, Issue 1-3, 2000, Pages 191-204

  Mota, Alejandro ^a   Abel, John F ^a  

^a Cornell University   (United States)

Author keywords

Hu Washizu principle; Mixed finite element formulations; Projections; Stress recovery; Stress smoothing

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; EXTRAPOLATION; FUNCTIONS; INTEGRAL EQUATIONS; PROBLEM SOLVING; SET THEORY; STRAIN; STRESS ANALYSIS;

HU-WASHIZU (HW) FUNCTIONAL; MIXED FINITE ELEMENT FORMULATION; STRESS RECOVERY; STRESS SMOOTHING;

FINITE ELEMENT METHOD;

EID: 0039332852     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(20000110/30)47:1/3<191::AID-NME767>3.0.CO;2-S     Document Type: Article

References (14)

1. Gallagher RH. Accuracy in data input and in stress calculations. In Finite Elements in Geomechanics, Gudehus G. (ed.) Wiley: New York, 1977; 513-528.
2. Franca LP, Hughes TJR. Two classes of mixed finite element methods. Computer Methods in Applied Mechanics and Engineering 1988; 69:89-129.
3. Brezzi F, Fortin M. Mixed and Hybrid Finite Element Methods. Springer: New York, 1991.
4. Babuška I, Suri M. On locking and robustness in the finite element method. SIAM Journal of Numerical Analysis 1992; 29(5):1261-1293.
5. Barlow J. Optimal stress locations in finite element models. International Journal for Numerical Methods in Engineering 1976; 10:243-251.
6. Oden JT, Brauchli HJ. On the calculation of consistent stress distributions in finite element approximations. International Journal for Numerical Methods in Engineering 1971; 3:317-325.
7. Hinton E, Campbell JS. Local and global smoothing of discontinuous finite element functions using a least squares method. International Journal for Numerical Methods in Engineering 1974; 8:461-480.
8. Zienkiewicz OC, Zhu JZ. The superconvergent patch recovery and a posteriori error estimates. Part 1: the recovery technique. International Journal for Numerical Methods in Engineering 1992; 33:1331-1364.
9. Mota A. A class of Geometrically Exact Membrane and Cable Finite Elements Based on The Hu-Washizu Functional. PhD Dissertation, Cornell University, Ithaca, NY, 2000.
10. Washizu K. Variational Methods in Elasticity and Plasticity. Oxford: Pergamon Press, 1982.
11. Felippa CA. A survey of parametrized variational principles and applications to computational mechanics. Computer Methods in Applied Mechanics and Engineering 1994; 113:109-139.
12. Zlámal M. Some superconvergence results in the finite element method. In Mathematical Aspects of Finite Element Methods, Galligani I, Magenes E (eds), Vol. 33, Springer: New York, 1977; 354-362.
13. Lesaint P, Zlámal M. Superconvergence of the gradient of finite element solutions. RAIRO Anal. Numer. 1979; 13:139-166.
14. 1-continuous stress recovery in finite element analysis. Computer Methods in Applied Mechanics and Engineering 1997; 143:299-316.