Optimal shakedown design of plates

Mechanika

Volumn 67, Issue 5, 2007, Pages 14-23

  Atkočiunas, Juozas ^a   Rimkus, Liudvikas ^a   Skaržauskas, Valentinas ^a   Jarmolajeva, Ela ^a  

^a VILNIUS GEDIMINAS TECHNICAL UNIVERSITY   (Lithuania)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BENDING MOMENTS; COMPUTATIONAL GEOMETRY; ELASTICITY; ITERATIVE METHODS; PLASTICITY; PROBLEM SOLVING; STIFFNESS; STRENGTH OF MATERIALS;

ELASTIC-PLASTIC BENDING; OPTIMAL SHAKEDOWN DESIGN; ROSEN PROJECT GRADIENT;

PLATE METAL;

EID: 38049132296     PISSN: 13921207     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. Weichert, D., Maier G., editors. Inelastic Analysis of Structures under Variable Loads. Theory and Engineering Applications.-Dordrecht: Kluwer Academic Publishers, 2002.-396p.
2. Capurso, M. A Displacement bounding principle in shakedown of structures subjected to cyclic loads.-Int. J. of Solids and Structures, 1974, v. 10, p. 77-92.
3. Dorosz, St. An improved bound to maximum deflections of elastic-plastic structures at shakedown.-J. of Structural Mechanics, 1978, v.6, p.267-287.
4. Čyras, A. Mathematical Models for the Analysis and Optimization of Elastoplastic Structures.-New York: John Wiley&Sons Ltd., 1983.-121p.
5. Kleiber, M., Konig, J. A., editors. Inelastic Solid and Sructures. Antoni Sawczuk Memorial Volume.- Swansea: Pineridge Press, 1990-558p.
6. Stein, E., Zhang, G., Mahnken, R. Shakedown analysis for perfectly plastic and kinematic hardening materials.-In: Stein, E., editor. Progress in Computational Analysis in Inelastic Structures.-Wien: Springer-Verlag, 1993, p. 175-244.
7. Giambanco, F., Palizzolo, L., Polizzotto, C. Optimal shakedown design of circular plates.-ASCE J. of the Engineering Mechanics Division, 1994, v.120, p.2535-2355.
8. Kaliszky, S., Logo, J. Optimal plastic limit and shakedown design of bar structures with constraints on plastic deformation.-Engineering Structures, 1997, v.19, p 19-27.
9. Tin-Loi, F. Optimum shakedown design under residual displacement constraints.-Structural and Multidisciplinary Optimization, 2000, v.19, p.130-139.
10. Aliavdin, P. V. Limit Analysis of Structures under Variable Loads.- Minsk: UP Technoprint, 2005.-282p. (in Russian).
11. Atkočiünas, J., Jarmolajeva, E., Merkevičiüté, D. Optimal shakedown loading for circular plates.- Structural and Multidisciplinary Optimization, 2004, v.27, No3, p.178-188.
12. Atkočiünas, J., Rimkus, L., Jarmolajeva, E. Shakedown loading optimization for circular plates.-Metal Structures-Design, Fabrication, Economy. Proceedings of the International Conference on Metal Structures-ICMS-03. Miscolc, Hungary, April 3-5, Rotterdam: Millpress, 2003, p.251-258.
13. Bazarna, M. S., Sherali, H. D., Shetty, C. M. Nonlinear Programming: Theory and Algorithms.-New York: John Wiley & Sons Ltd., 2004.-853p.
14. Chraptovič, E., Atkočiünas, J. Mathematical programming applications peculiarities in shakedown problem.-Statyba, 2001, No2, p.106-114. (in Russian).
15. Gallagher, R. H. Finite Element Analysis: Fundamentals.-Englewood Clifts: Prentice-Hall Inc., 1975.-420p.
16. Kalanta, S. Elastic plates and shells. In: Computeraided Calculation of Structural Mechanics Problems.-Vilnius: Science and Encyclopaedic Publishing House, 1994, p. 163-218. (in Lithuanian).
17. Jarmolajeva, E., Atkočiünas, J. Shakedown loading optimization under constrained residual displacements-formulation and solution for circular plates.-J. of Civil Engineering and Management, 2002, v.VIII, No1, p.54-67.
18. Maier, G. A matrix structural theory of piecewiselinear plasticity with interacting yield planes.- Meccanica, 1970, No7, p.51-66.
19. Atkočiünas, J. Design of Elastoplastic Systems under Repeated Loading.-Vilnius: Science and Encyclopedic Publishing House, 1994.-148p. (in Russian).
20. Prager, W., Shield, R. T. A general theory of optimal plastic design. ASME Transactions Series E Journal of Applied Mechanics, 1967, v.34, p. 184-186.
21. Borkowski, A., Atkočiünas, J. Optimal design for cyclic loading.-In: Sawczuk A., Mróz Z., editors. Optimization in Structural Design.-Berlin: Springer-Verlag, 1975, p.433-440.
22. Pham, D. C. Plastic collapse of a circular plate under cyclic loads.-International Journal of Plasticity, 2003, v. 19, p.547-559.
23. Atkočiünas, J. Mathematical models of optimization problems at shakedown.-Mechanics Research Communications, 1999, v.26, p.319-326.
24. Koiter, W. General theorems for elastic-plastic solids.- Progress in Solid Mechanics. Amsterdam: North-Holland, 1960, p. 165-221.