Optimal plastic limit and shake-down design of bar structures with constraints on plastic deformation

Engineering Structures

Volumn 19, Issue 1, 1997, Pages 19-27

  Kaliszky, S ^a   Logo J ^a  

^a BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

Bar structures; Mathematical programming; Plastic deformation

Indexed keywords

CONSTRAINT THEORY; ITERATIVE METHODS; NONLINEAR PROGRAMMING; PLASTIC DEFORMATION; PROBLEM SOLVING; STRUCTURAL LOADS;

DISCRETIZED BAR STRUCTURES; OPTIMAL PLASTIC DESIGN METHOD;

STRUCTURAL DESIGN;

EID: 0030785018     PISSN: 01410296     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0141-0296(96)00066-1     Document Type: Article

References (32)

1. De Donato, O. 'Fundamentals of elastic-plastic analysis', in M. Z. Cohn and G. Maier, (Eds) 'Mathematical programming', Pergamon Press, New York, 1977 pp. 325-349
2. Maier, G., Grierson, D. E. and Best, M. J. 'Mathematical programming methods for deformation analysis at plastic collapse', Comput. Struct. 1977, 7, 599-612
3. Maier, G., Giacomini, S. and Paterlini, F. 'Combined elasto-plastic and limit analysis via restricted bases linear programming'. Comp. Meth. Appl. Mech. Eng., 1979, 17, 21-48
4. Freitas, J. A. T. 'Elasto-plastic analysis of skeletal structures', in D. Lloyd Smith (Ed) 'Mathematical programming methods in structural plasticity', Springer Verlag, 1990. pp. 153-169
5. Kaliszky, S. 'Plasticity, theory and engineering applications', Elsevier, Amsterdam, 1989
6. Freitas, J. A. T. and Lloyd Smith, D. 'A general methodology for nonlinear structural analysis by mathematical programming'. Engng Struct. 1984, 6 52-60
7. Martin J. B. 'Plasticity: fundamentals and general results', MIT Press, Cambridge MA, 1975
8. Borino, G., Caddemi, S. and Polizotto, C. 'Mathematical programming methods for the evaluation of dynamic plastic deformations', in D. Lloyd Smith (Ed) 'Mathematical programming methods in structural plasticity', Springer-Verlag, 1990, pp. 349-372
9. Lloyd Smith, D. and Sahlit, C. L. 'Dynamic response of pulse loaded structures as a linear complementary problem'. Engng Opt. 1991, 18, 23-41
10. Horne, M. R. 'The effect of variable repeated loads on building structures designed by the plastic theory', Proc. Int. Assoc. Bridge Struct. Engng 1954, 14, 53-74
11. Koiter, W. T. 'General theorems for elasto-plastic solids' in 'Progress in solid mechanics', I. N. Sneddon and R. Hill (Eds) North-Holland, 1960, Vol. 1. Chap. 4
12. Capurso, M. 'A displacement bounding principle in shakedown of structures subjected to cyclic loads', Int. J. Solids Struct. 1974, 10, 77-92
13. Neal B. G. 'The plastic method of structural analysis', Chapman and Hall, London, 1977
14. Symonds, P. S. and Neal, B. G. The interpretation of failure loads in the plastic theory of continuous beams and frames', J. Aero. Sci. 1952, 19, 15-28
15. Corradi, L. 'Deformation bounding techniques in elasto-plastic analysis', in M. Z. Cohn and G. Maier (Eds) 'Engineering plasticity by mathematical programming, Pergamon, 1977, pp. 495-516
16. Ponter, A. R. S. 'An upper bound on small displacements of elastic perfectly plastic structures', J. Appl. Mech. 1972, 39, 959-963
17. Ponter, A. R. S. 'General displacement and work bounds for dynamically loaded bodies', J. Mech. Phys. Solids 1975, 23, 151-163
18. Martin, J. B. 'Extremum principles for a class of dynamic rigid-plastic problems', Int. J. Solids Struct. 1972, 8, 1185-1204
19. Symonds, P. S. and Wierzbicki, T. 'On an extremum principle for mode form solutions in plastic structural dynamics', J. Appl. Mech. 1975, 42, 630-664
20. Jones, N. 'Structural impact', Cambridge University Press, Cambridge, 1989
21. Kaliszky S. 'Dynamic plastic response of structures', in: G. Bianchi and A. Sawczuk 'Plasticity today', Elsevier, 1984, pp. 787-820
22. König J. A. 'Shakedown of elastic-plastic structures', PWN-Elsevier, Warszawa-Amsterdam 1987
23. Zyczkowski, M. 'Combined loading in the theory of plasticity', PWN-Nijhoff, Warszawa-Aalphen, 1981
24. Kaliszky S. and Knébel, I. 'Optimum design of plastic bar structures for shakedown and dynamic loading', Acta Tech. Acad. Sci. Hung. 1986, 9, 197-312
25. Polizotto, C. 'Dynamic shakedown by modal analysis', Meccanica 1984, 17 (2), 133-144
26. König, J. A. and Maier, G. 'Shakedown analysis of elasto-plastic structures: a review of recent developments', Nucl. Engng Des. 1981, 66, 81-95
27. Polizotto, C. 'A unified treatment of shakedown theory and related bounding techniques', SM Arch. 1987, 7, 19-75
28. Capurso, M., Corradi, L. and Maier, G. 'Bounds on deformations and displacements in shakedown theory', in 'Proc. materials and structures under cyclic loads', Palaiseau, France, 1978, pp. 231-244
29. Panzeca, T., Polizotto, C. and Rizzo, S. 'Bounding techniques and their application to simplified plastic analysis of structures', in D. L. Smith (Ed.) 'Mathematical programming methods in structural plasticity', Springer-Verlag, 1990, pp. 315-348
30. Dorosz, S. 'An improved upper bound to maximum deflections of elastic-plastic structures at shakedown', J. Struct. Mech. 1978, 6, 167-287
31. Kaliszky, S. 'Elasto-plastic analysis with limited plastic deformation and displacements', Int. J. Mech. Struct. Machines 1996, 24 (1) 39-50
32. Hafka, R. T., Gürdal, Z. and Kamat, M. P. 'Elements of structural optimization', Kluwer, Dordrecht, 1990