Error indicators and mesh refinements of elastoplastic deformations

Computational Mechanics

Volumn 22, Issue 3, 1998, Pages 225-238

  Barthold, F J ^a   Schmidt, M ^a   Stein, E ^a  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SOFTWARE; DEFORMATION; ELASTOPLASTICITY; ERRORS;

ERROR INDICATORS;

FINITE ELEMENT METHOD;

EID: 0032162783     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050356     Document Type: Article

References (31)

1. Ainsworth M, Oden J (1995) A posteriori error estimation in finite element analysis. Mathematics and computer science technical reports, University of Leicester
2. Atluri SN (1988) Remarks on mixed and singular finite element methods. In D. L. Dwoyer and et al., editors, Num. Eng. 96, pages 176-198. ICASE, Springer
3. Babuška I, Miller A (1981) A-posteriori error estimates and adaptive techniques for the finite element method. Technical report, Institute for Physical Science and Technology, University of Maryland
4. Babuška I, Strouboulis T, Gangaraj S, Upadhyay C (1995) A posteriori estimation and adaptive control of the pollution error in the h-version of the finite element method. Int. J. Num. Eng. 38:4207-4235
5. Barthold F-J, Schmidt M, Stein E (1997) Error estimation and mesh adaptivity for elasto-plastic deformations. In Proceedings of the Fifth International Conference on Computational Plasticity, Complas V, Barcelona, pages 597-603
6. Barthold F-J, Stein E (1995) Theorie und Algorithmen adaptiver FE-Methoden für elastoplastische Deformationen. Zwischenbericht zum 1. Antragszeitraum, DFG-Paketantrag Adaptive Finite Element Methoden in der Angewandten Mechanik
7. Barthold F-J, Stein E (1996) Error estimation and mesh adaptivity for elasto-plastic deformations. ZAMM: Proc. ICIAM/GAMM, 76 Sup. 1:159-162
8. Braess D, Klaas O, Niekamp R, Stein E, Wobschal F (1995) Error indicators for mixed finite elements in 2-dimensional linear elasticity. Comput. Meth. Appl. Mech. Eng. 127:345-356
9. Fish J, Markolefas S (1994) Adaptive global-local refinement strategy based on the interior error estimates of the h-method. Int. J. Num. Meth. Eng. 37:827-838
10. Gallimard L, Ladevèze P, Pelle JP (1996) Error estimation and adaptivity in elastoplasticity. Int. J. Num. Meth. Eng. 39:189-217
11. Hencky H (1924) Zur Theorie plastischer Deformationen und der hierdurch im Material hervorgerufenen Nebenspannungen. In Proceedings of the 1st International Congress on Applied Mechanics, Delft
12. Johnson C, Hansbo P (1992) Adaptive finite element methods in computational mechanics. Comput. Meth. Appl. Mech. Eng. 101:143-181
13. Klaas O, Schröder J, Stein E, Miehe C (1993) A regularized mixed element for plane elasticity implementation and performance of the BDM element. IBNM-Bericht 93/6, Institut für Baumechanik und Numerische Mechanik, Universität Hannover
14. Nagtegaal J, Parks D, Rice J (1974) On numerically accurate finite element solutions in the fully plastic range. Comput. Meth. Appl. Mech. Eng. 4:153-177
15. Ortiz M, Quigley JJ (1991) Adaptive mesh refinement in strain localization problems. Comput. Meth. Mech. Eng. 90:781-804
16. Perić D, Yu J, Owen D (1994) On error estimates and adaptivity in elastoplastic solids: Applications to the numerical simulation of strain localization in classical and cosserat continua. Int. J. Num. Meth. Eng. 37:1351-1379
17. Prandtl R (1924) Spannungsverteilung in plastischen Körpern. In Proceedings of the 1st International Congress on Applied Mechanics, Delft
18. Pullan AJ, Bradley CP (1997) A coupled cubic hermite finite element/boundary element procedure for electrocardiographic problems. Int. J. Comput. Mech. 18:356-368
19. Rannacher R, Suttmeir F-T (1997) A posteriori error control in finite element methods via duality techniques: Application to perfect plasticity. Technical report, Preprints of SFB 350, Universität Heidelberg
20. Schmidt M (1996) Fehlerschätzung und adaptive Lastschrittsteuerung bei elastoplastischen Problemen. Master's thesis, Institut für Baumechanik und Numerische Mechanik
21. Schröder J, Klaas O, Stein E, Miehe C (1995) A physically nonlinear dual mixed finite element formulation. Technical report, Institut für Baumechanik und Numerische Mechanik, Universität Hannover
22. Schröder J, Klaas O, Stein E, Miehe C (1997) A physically nonlinear dual mixed finite element formulation. Comput. Meth. Appl. Mech. Eng. 144:77-92
23. Simo J, Rifai M (1980) A class of mixed assumed strain methods and the method of incompatible modes. Int. J. Num. Meth. Eng. 29:1595-1693
24. Stein E, Barthold F-J, Ohnimus S, Schmidt M (1997) Adaptive finite elements in elastoplasticity with mechanical error indicators and neumann-type estimators. In New Advances is Adaptive FEM
25. Stein E, Ohnimus S (1997) Coupled model-and solution-adaptivity in the finite-element method. Comput. Meth. Appl. Mech. Eng. in print:24
26. Stein E, Schmidt M, Barthold F-J (1997) Theorie und Algorithmen adaptiver FE-Methoden für elastoplastische Deformationen. Zwischenbericht zum 2. Antragszeitraum, DFG-Paketantrag "Adaptive Finite Element Methoden in der Angewandten Mechanik"
27. Wang L-H, Atluri SN (1994) An analysis of an explicit algorithm and the radial return algorithm, and a proposed modification in finite plasticity. Int. J. Comput. Mech. 13:380-389
28. Wang L-H, Burst FW, Atluri SN (1997) The elastic-plastic finite element alternating method (EPFEAM) and the prediction of fracture under wfd conditiona in aircraft structures. part i: Epfeam theory. Int. J. Comput. Mech. 19:356-369
29. Zend LE, Horrigmoe G, Anderson R (1996) Numerical implementation of constitutive integration for rate-independent elastoplasticity. Int. J. Comput. Mech. 18:356-369
30. Zienkiewicz OC, Zhu JZ (1987) A simple error estimator and adaptive procedure for practical engineering analysis. Int. J. Num. Meth. Eng. 24:337-357
31. Zienkiewicz OC, Zhu JZ (1992) The superconvergent patch recovery and adaptive finite element refinement. Comp. Meth. Appl. Mech. Eng. 101:207-224