Padé approximants applied to a non-linear finite element solution strategy

Communications in Numerical Methods in Engineering

Volumn 13, Issue 7, 1997, Pages 593-602

  De Boer, Henk ^a   Van Keulen, Fred ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Finite rotation; Nonlinear solver; Pad approximant; Shell element

Indexed keywords

ASYMPTOTIC STABILITY; FINITE ELEMENT METHOD; NUMERICAL METHODS; PROBLEM SOLVING;

FINITE ROTATION SHELL ELEMENTS; PADE APPROXIMANTS;

APPROXIMATION THEORY;

EID: 0031176198     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0887(199707)13:7<593::AID-CNM104>3.0.CO;2-V     Document Type: Article

References (12)

1. M. A. Crisfield, Non-linear Finite Element Analysis of Solids and Structures, Vol. 1: Essentials, Wiley. 1991.
2. L. Azrar, B. Cochelin, N. Damil and M. Potier-Ferry, 'An asymptotic-numerical method to compute the postbuckling behaviour of elastic plates and shells', Int. j. numer. methods eng., 36, 1251-1277 (1993).
3. B. Cochelin, N. Damil and M. Potier-Ferry, 'Asymptotic-numerical methods and Padé approximants for non-linear elastic structures', Int. j. numer. methods eng., 37, 1187-1213 (1994).
4. G. A. Baker and P. Graves-Morris, Padé Approximants, Part I: Basic Theory; Encyclopedia of Mathematical and its Applications, Vol. 13, Addison-Wesley, Reading, 1981.
5. B. Cochelin, 'A path-following technique via an asymptotic-numerical method', Comput. Struct., 54, 1181-1192 (1994).
6. A. K. Noor and J. M. Peters, 'Reduced basis technique for non-linear analysis of structures', AIAA J., 18, 455-462 (1980).
7. B. Cochelin, 'Méthodes Asymptotiques-Numériques pour le calcul non-linéaire géométrique des structures élastiques', Thesis, Université de Metz, 1994.
8. F. van Keulen, 'A geometrically nonlinear curved shell element with constant stress resultants', Comput. methods. appl. mech. eng., 106, 315-352 (1993).
9. F. van Keulen, A. Bout and L. J. Ernst, 'Nonlinear thin shell analysis using a curved triangular element', Comput. methods appl. mech. eng., 103, 315-343 (1993).
10. J. Booij and F. van Keulen, 'Consistent formulation of a triangular finite rotation shell element, Proceedings of the First International DIANA Conference on Computational Mechanics', in DIANA Computational Mechanics '94, G. M. A. Kusters, M. A. N. Hendriks (Eds.), Kluwer, 1994, pp. 235-244.
11. F. van Keulen and J. Booij, 'Refined consistent formulation of a curved triangular finite rotation shell element', Int. j. numer. methods eng., to be published.
12. H. de Boer, Padé Approximants Applied to a Nonlinear Finite Element Solution Strategy, TU Delft report LTM-1083, Internal Report, Delft, 1995.