Numerical efficiency, locking and unlocking of NURBS finite elements

Computer Methods in Applied Mechanics and Engineering

Volumn 199, Issue 5-8, 2010, Pages 374-382

  Echter, Ralph ^a   Bischoff, Manfred ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

DSG method; Locking; NURBS finite elements

Indexed keywords

ABSOLUTE ERROR; CONTINUOUS APPROACH; CONVERGENCE RATES; DISCRETE SHEAR GAP METHODS; FINITE ELEMENT; FINITE ELEMENT TECHNOLOGY; FINITE-ELEMENT APPROACH; HIGHER ORDER; LAGRANGE; LOCKING PROBLEM; LOCKING-FREE ELEMENTS; LOCKING-FREE FINITE ELEMENTS; NUMERICAL EFFICIENCY; SHAPE FUNCTIONS; TIMOSHENKO BEAM MODEL;

COMPUTER CRIME; FUNCTION EVALUATION; LAGRANGE MULTIPLIERS; METAL FORMING; SPLINES;

FINITE ELEMENT METHOD;

EID: 72549084333     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2009.02.035     Document Type: Article

References (12)

1. Bischoff M., and Bletzinger K.-U. Stabilized DSG plate and shell elements. In: Wall W.A., et al. (Ed). Trends in Computational Structural Mechanics (2001), CIMNE, Barcelona 253-263
2. Bletzinger K.-U., Bischoff M., and Ramm E. A unified approach for shear-locking free triangular and rectangular shell finite elements. Comput. Struct. 75 (2000) 321-334
3. Cottrell J.A., Hughes T.J.R., and Reali A. Studies of refinement and continuity in isogeometric structural analysis. Comput. Method Appl. Mech. Engrg. 196 (2007) 4160-4183
4. Cottrell J.A., Reali A., Bazilevs Y., and Hughes T.J.R. Isogeometric analysis of structural vibrations. Comput. Method Appl. Mech. Engrg. 195 (2006) 5257-5296
5. Höllig K. Finite Element Methods with B-Splines (2003), SIAM, Philadelphia
6. Hughes T.J.R. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis (2000), Dover Publications Inc.
7. Hughes T.J.R., Cottrell J.A., and Bazilevs Y. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry, and mesh refinement. Comput. Method Appl. Mech. Engrg. 194 (2005) 4135-4195
8. Hughes T.J.R., Reali A., and Sangalli G. Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements mit k-method NURBS. Comput. Method Appl. Mech. Engrg. 197 (2008) 4104-4124
9. Koschnick F., Bischoff M., Camprubi N., and Bletzinger K.-U. The discrete strain gap method and membrane locking. Comput. Method Appl. Mech. Engrg. 194 (2005) 2444-2463
10. Piegl L., and Tiller W. The NURBS Book (Monographs in Visual Communication). second ed. (1997), Springer-Verlag, Berlin
11. Rogers D.F. An Introduction to NURBS with Historical Perspective (2001), Academic Press, San Diego, CA
12. Zienkiewicz O.C., Taylor R.L., and Zhu J.Z. The Finite Element Method: Its Basis and Fundamentals. sixth ed. (2005), Elsevier Ltd.