Shakedown analysis for trusses and frames

Journal of Applied Mechanics, Transactions ASME

Volumn 64, Issue 2, 1997, Pages 415-419

  Chinh, Pham Duc ^a,b  

^a INSTITUTE OF MECHANICS   (Viet Nam)

^b UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); ELASTICITY; STRUCTURAL FRAMES; TRUSSES;

KOITER'S KINEMATIC THEOREM; SHAKEDOWN THEORY;

STRUCTURAL ANALYSIS;

EID: 0031165810     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2787324     Document Type: Article

References (15)

1. Corracli, L., and Zavelani, A., 1974, “A linear programming approach to shakedown analysis of structures,” Compt. Math. Mech. Engng., Vol. 3, p. 37.
2. Hodge, P. G., Jr., 1959, Plastic Analysis of Structures, McGraw-Hill, New York.
3. Kamenjarzh, J., and Weichert, D., 1992, “On kinematic upper bounds for the safety factor in shakedown theory,” Int. J. Plasticity, Vol. 8, pp. 827-837.
4. Koiter, W. T., 1963, “General theorems for elastic-plastic solids,” Progress in solids mechanics I. N. Sneddon and R. Hill eds., North-Holland, Amsterdam, pp. 165-221.
5. König, J. A., 1987, Shakedown of elastic-plastic structures, Elsevier, Amsterdam.
6. Lubliner, J., 1990, Plasticity theory, McMillan, New York.
7. Maier, G., and Monro, J., 1982, “Mathematical programming applications to engineering plastic analysis,'"Appl. Mech. Rev., Vol. 35, pp. 1631-1643.
8. Martin, J. B., 1975, Plasticity: Fundamentals and General Results, M.I.T. Press, Cambridge, MA.
9. Neal, B. G., and Symonds, P. S., 1952, Proc. Inst. Civ. Engrs., Vol. 1, p. 58.
10. Pham, D. C., 1992, “Extended shakedown theorems for elastic plastic bodies under quasiperiodic dynamic loading,” Proc. R. Soc. Land., Vol. A439, pp. 649-658.
11. Pham, D. C., 1993, “Shakedown of bars subjected to cycles of loads and temperature,” Int. J. Solids Structures, Vol. 30, pp. 1173-1179.
12. Pham, D. C., and Stumpf, H., 1994, “Kinematical approach to shakedown analysis of some structures,” Q. Appl, Math., Vol. 52, pp. 707-719.
13. Pham, D. C., 1996, “Dynamic shakedown and a reduced kinematic theorem,” Int. J. Plasticity, Vol. 12, pp. 1055-1068.
14. Pham, D, C., 1997, “Reduced forms of shakedown kinematic theorem for elaslic-perfectly plastic,” Proc. Royal Soc. Lond., in press.
15. Prager, W., 1959, An introduction to plasticity, Addition-Wesley.