A general approximate technique for the finite element shakedown and limit analysis of axisymmetrical shells. Part 2: Numerical applications

International Journal for Numerical Methods in Engineering

Volumn 40, Issue 19, 1997, Pages 3515-3536

  Franco, Jose Ricardo Queiroz ^a   Ponter, Alan R S ^b  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

^b UNIVERSITY OF LEICESTER   (United Kingdom)

Author keywords

Collapse mechanism; Limit analysis; Linear programming; Shakedown; Shells

Indexed keywords

FAILURE (MECHANICAL); FINITE ELEMENT METHOD; LINEAR PROGRAMMING; STRUCTURAL ANALYSIS;

AXISYMMETRIC SHELLS; COLLAPSE MECHANISM; LIMIT ANALYSIS; SHAKEDOWN THEORY;

SHELLS (STRUCTURES);

EID: 0031257503     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19971015)40:19<3515::AID-NME223>3.0.CO;2-W     Document Type: Article

References (22)

1. J. Bree, 'Incremental growth due to creep and plastic yielding of thin tubes subjected to internal pressure and cyclic thermal stresses', J. Strain Analysis, 3, 122-127 (1968).
2. J. Bree, 'Elastic plastic behaviour of thin tubes subjected to internal pressure and intermittent high heat fluxes with applications to fast-nuclear-reactor fuel elements', J. Strain Anal., 2, 226-238 (1967).
3. D. C. Drucker and R. T. Shield, 'Limit analysis of symmetrically loaded thin shells of revolution', J. Appl. Mech. Trans. ASME, 26, 61-72 (1959).
4. R. T. Shield and D. C. Drucker, 'Limit strength of thin walled pressure vessels with an ASME standard torispherical head', 3rd Congr. Appl. Mech., 1958, pp. 665-672.
5. O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method - Basic Formulation and Linear Problems, 4th Ed., Vol. 1, MacGraw-Hill, New York, 1989.
6. D. C. Drucker, 'Limit analysis of cylindrical shells under axially symmetric loading', Proc. 1st Midwest. Conf. Solids Mech., Urbana, IL, 1953, pp. 158-163.
7. P. K. Agrawal and P. G. Hodge Jr., 'Yield point ring load filled circular cylindrical shells', Int. J. Mech. Sci., 12, 935-947 (1970).
8. G. Eason and R. T. Shield, 'The influence of free ends on the load carrying capacities of cylindrical shells', J. Mech. Phys. Solids, 4, 17 (1955).
9. G. Eason, 'The load carrying capacities of cylindrical shells subjected to a ring of force', J. Mech. Phys. Solids, 7, 169-180 (1958-59).
10. P. G. Hodge Jr., Limit Analysis of Rotationally Symmetric Plates and Shells, Int. Series in Theory of Appl. Mech., Prentice-Hall, Englewood Cliffs, N.J., 1963.
11. E. T. Onat, 'The plastic collapse of cylindrical shells under axially symmetrical loading', Quart. Appl. Math., 13, 63-72 (1955).
12. P. Morelle and N. D. Hung, 'Etude Numerique de L'adaptation Plastique des Plaques et des Coques de Revolution par les Elements Finis D'equilibre', J. de Mecanique Theorique et Applique, 2, 567-599 (1983).
13. P. Morelle, 'Numerical shakedown analysis of axisymmetric sandwich shells', Int. J. Numer. Meth. Engng., 23, 2071-2088 (1986).
14. A. Biron and U. S. Chawla, 'Numerical method for limit analysis of rotationally symmetric shells', Bull, de l'Acad. Ponolaise des Sci., 18, 109-117 (1970).
15. Nguyen Dan Hung, M. Trapeletti and D. Ransart, 'Bornes Quasi-Inferieures et Bornes Superieures de la Pression de Ruine des Coques de Revolution par la Methode des Elements Finis et par la Programmation Non Lineaire', Int. J. Nonlinear Mechanics, 13, 72-102 (1978).
16. A. R. S. Ponter, S. Karadeniz and K. F. Carter, 'The computation of shakedown limits for structural components subjected to variable thermal loading', Report EUR 12686, Directorate General, Science, Research and Development, Commission of the European Communities, Brussels, 1990, Ch. W, p. 93.
17. E. T. Onat and W. Prager, 'Limit analysis of shells of revolution', Proc. Koninklijke Nederlandshe Akad. van Wet., B., 57, 534-548 (1954).
18. D. C. Drucker, W. Prager and H. J. Greenberg, 'Extended limit design theorems for continuous media', Quart. J. Appl. Math., 9, 381-389 (1952).
19. P. G. Hodge Jr., 'The collapse load of a spherical cap', Proc. 4the Midwest Conf. Solid Mech., Austin, 1959, pp. 108-126.
20. P. G. Hodge Jr., 'Yield conditions for rotationally symmetric shells under axisymmetric loading', J. Appl. Mech., 27, 323-331 (1960).
21. Z. Mroz and B. Y. Xu, 'The load carrying capacities of symmetrically loaded spherical shells', Arch. Mech. Stos., 15, 245-266 (1960).
22. L. Lee and E. T. Onat, Analysis of Plastic Spherical Shells, Internal Report, Brown University, 1965.