An automatic load stepping algorithm with error control

International Journal for Numerical Methods in Engineering

Volumn 39, Issue 10, 1996, Pages 1737-1759

  Abbo, A J ^a   Sloan, S W ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Algorithm; Automatic; Elastoplastic; Error control; Load incrementation; Load stepping

Indexed keywords

AUTOMATIC LOAD STEPPING ALGORITHM; ERROR CONTROL; EULER SCHEME; LOAD DEFLECTION RELATIONS; LOAD INCREMENTATION; LOAD PATH ERROR; LOCAL EXTRAPOLATION; LOCAL TRUNCATION ERROR;

BOUNDARY VALUE PROBLEMS; CALCULATIONS; DIFFERENTIAL EQUATIONS; ELASTOPLASTICITY; ERROR ANALYSIS; ERROR CORRECTION; FINITE ELEMENT METHOD; FORECASTING; INTEGRATION; LOADS (FORCES); MONITORING; PARAMETER ESTIMATION;

ALGORITHMS;

EID: 0030151369     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19960530)39:10<1737::AID-NME927>3.0.CO;2-5     Document Type: Article

References (6)

1. S. W. Sloan, 'Substepping schemes for the numerical integration of elastoplastic stress-strain relations', Int. j. numer. methods eng., 14, 893-911 (1987).
2. C. Den Heijer and W. C. Rheinbolds', 'On step length algorithms for a class of continuation methods', SIAM J. Numer. Anal., 18, 925-948 (1981).
3. P. G. Bergan, G. Horrigmoe, B. Krakeland and T. H. Soreide, 'Solution techniques for nonlinear finite element problems', Int. j. numer. methods eng., 12, 1677-1696 (1978).
4. P. G. Bergan and T. Soreide, 'Solution of large displacement and instability problems using the current stiffness parameter' in P. G. Bergan et al. (eds.), Finite Elements in Nonlinear Mechanics, Tapir Press, Trondheim, 1978, pp. 647-669.
5. M. A. Crisfield, 'A fast incremental/iterative solution procedure that handles 'snap-through', Comp. Struct., 13, 55-62 (1981).
6. J. C. J. Schellekens, P. H. Feenstra, and de Borst, 'A self-adaptive load estimator based on strain energy', Proc. 3rd Int. Conf. Computational Plasticity, Vol. 1, Barcelona, 1992, pp. 187-198.