Mathematical models of optimization problems at shakedown

Mechanics Research Communications

Volumn 26, Issue 3, 1999, Pages 319-326

  Atkociunas J ^a  

^a VILNIUS GEDIMINAS TECHNICAL UNIVERSITY   (Lithuania)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; FAILURE ANALYSIS; MATHEMATICAL MODELS; MATHEMATICAL PROGRAMMING; PROBLEM SOLVING; RIGIDITY; STRUCTURAL ANALYSIS; STRUCTURAL LOADS;

SHAKEDOWN ANALYSIS;

ELASTOPLASTICITY;

EID: 0033130760     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0093-6413(99)00030-0     Document Type: Article

References (14)

1. S.Dorosz, J.A.König, A.Sawczuk, A.Biegus, Z.Kowal, W.Seidel, Deflections of elastic-plastic hyperstatic beams under cyclic loading. Arch. Mech., 33, 5, 611-624 (1981).
2. A.Čyras, Methods of Linear Programming for Calculations of Elastoplastic Structures. Leningrad: Strojizdat (1969) (in Russian).
3. G.Maier, R.Srinivasan, M.Save, Optimal plastic design. J. Struct. Mech. 4, 349-378 (1976).
4. M.Z.Cohn, S.R.Parimi, Optimal design of plastic structures for fixed and shakedown loadings. J. Appl. Mech. 40, 595-599 (1973).
5. G.I.N.Rozvany, Optimal Design of Flexural Systems. Oxford: Pergamon Press (1976).
6. G.Maier, D.E.Grierson and M.J.Best, Mathematical programming methods for deformation analysis at plastic collapse. J of Computers & Structures, 7, 599-612 (1977).
7. O. De Donato and A.Franchi, A modified gradient method for finite element elastoplastic analysis by quadratic programming. Comp. Meth. in Appl. Mech. and Eng., 2, 3, 107-131 (1973).
8. L.Corradi and A.Zavelani, A linear programming approach to shakedown analysis of structures. Comp. Meth. in Appl. Mech. and Eng., 3, 37 (1974).
9. A.Borkowski and J.Atkočiunas, Optimal design for cyclic loading. IUTAM, Optimization in Structural Design, Symposium Warszaw/Poland 1973, Springer Verlag, Berlin, 432-440 (1975).
10. F. Giambanco, L.Palizzolo and C.Polizzotto, Optimal shakedown design of beam structures. Structural Optimization 8, 156-167. Springer Verlag (1994).
11. A. R. S. Ponter, An upper bound to the small displacements of elastic perfectly plastic structures. J. Appl. Mech. 39, 959-963 (1972).
12. J. Atkočiunas, A. Borkowski and J. A. König, Improved bounds for displacements at shakedown. Comput. Meth. Appl. Mech. Eng. 28, 365-376 (1981).
13. D.Weichert, J.Gross-Weege, The numerical assessment of elastic-plastic sheets under variable mechanical and thermal loads using a simplified two surface yield condition, Int. J. Mech. Sci 30, 757-767 (1988).
14. E.Stein, G.Zhang and R.Mahnken, Shakedown analysis for perfectly plastic and kinematic hardening materials. CISM. Progress in Computational Analysis of Inelastic Structures. Wien, New York: Springer Verlag (1993).