An algorithm for elastic shakedown

European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000

Volumn , Issue , 2000, Pages

  Zouain, Nestor ^a   Borges, Lavinia ^a   Silveira, José Luís ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Algorithms; Finite elements; Limit analysis; Shakedown

Indexed keywords

FINITE ELEMENT PROCEDURE; ITERATIVE ALGORITHM; LIMIT ANALYSIS; LOGARITHMIC TEMPERATURE; NUMBER OF DEGREES OF FREEDOM; NUMERICAL PROCEDURES; PRESSURE AND TEMPERATURE; SHAKEDOWN;

ALGORITHMS; COMPUTATIONAL METHODS; TUBES (COMPONENTS);

FINITE ELEMENT METHOD;

EID: 84893396275     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (18)

1. J. Bree, "Elastic-plastic behaviour of thin tubes subjected to internal pressure and intermittent high heat fluxes with application to fast nuclear-reactor fuel elements", J. Strain Anal., 2(3), 226-238 (1967).
2. L. A. Borges, N. Zouain and A. E. Huespe, "A nonlinear optimization procedure for limit analysis", European Journal of Mechanics/A Solids, 15, 487-512 (1996).
3. L. Borges, N. Zouain, C. Costa and R. Feijoó, "An adaptive approach to limit analyis", to appear.
4. E. Christiansen and K. D. Andersen; "Computation of collapse states with von Mises type yield condition", International Journal for numerical methods in Engineering, 46(8), 1185-1202 (1999).
5. G. De Saxce, "A Variational deduction of the upper bound and lower bound shakedown theorems by Markov and Hill's principles over a cycle", In: Inelastic Behavior of Structures under Variable Loads, Z.Mróz, D.Weichert and S. Dorosz, Editors, Kluwer, London (1995).
6. P. Diéz, M. Arroyo, and A. Huerta, "Adaptive analysis of softening solids using a residual-type error estimator", Computational Mechanics. New Trends and Applications, S.Idelsohn, E. Oñate and E. Dvorkin. (Eds). © CIMNE, Barcelona, Spain, (1998).
7. D. A. Gokhfeld and D. F. Cherniavsky, Limit Analysis of Structures at Thermal Cycling. Sijthoff and Noordhoof, The Netherlands (1980).
8. T. H. Hyde, B. B. Sahari and J. J. Webster, "The effect of axial loading and axial restraint on the thermal ratchetting of thin tubes", International Journal of Mechanical Sciences, 27(10), 679-692 (1985).
9. J. Kamenjarzh, Limit Analysis of Solids and Structures, CRC Pr (1996).
10. J. A. König, Shakedown of Elastic-Plastic Structures, Elsevier, Amsterdam, (1987).
11. G.Maier, Shakedown analysis, In: Engineering Plasticity by Mathematical Programming, Proc. of the NATO Advanced Study Institute, University of Waterloo, Ontario, Canada, (1977).
12. Z. Mróz, D.Weichert and S. Dorosz, Editors, Inelastic Behaviour of Structures under Variable Loads, Kluwer, London, (1995).
13. C. Polizzotto, "On the conditions to prevent plastic shakedown of structures: Part II - The Plastic Shakedown Limit Load", Journal of Applied Mechanics, ASME, 60, 20-25 (1993).
14. A. R. S. Ponter and S. Karadeniz, "An extended shakedown theory for structures that suffer cyclic thermal loading, Parts 1 and 2", Journal of Applied Mechanics, ASME. 52, 877-889 (1985).
15. S. Pycko and G. Maier, "Shakedown theorems for some classes of nonassociative hardening elastic-plastic material models", Int. J. of Plasticity, 11 (4), pp. 367-395 (1995).
16. N. Zouain and J. L. L. Silveira, "Extremum principles for bounds to shakedown loads", European Journal of Mechanics/A Solids, 18(5), 879-901 (1999).
17. N. Zouain and J. L. L. Silveira, "Variational principles for shakedown analysis, submitted to: Inelastic Analysis of Structures under Variable Loads: Theory and Engineering Applications, D. Weichert and G. Maier, Editors, Kluwer, London (2000).
18. N. Zouain and J. L. L. Silveira, "Bounds to Shakedown Loads", to appear.