The use stochastic stresses in the static approach of probabilistic limit analysis

International Journal for Numerical Methods in Engineering

Volumn 73, Issue 6, 2008, Pages 747-782

  Alibrandi, U ^a   Ricciardi, G ^a  

^a UNIVERSITY OF MESSINA   (Italy)

Author keywords

Bounds; Limit analysis; Probability of failure; Reliability; Static theorem

Indexed keywords

LOAD LIMITS; RANDOM PROCESSES; RELIABILITY THEORY; VECTORS;

PROBABILISTIC LIMIT ANALYSIS; PROBABILITY OF COLLAPSE; STATIC THEOREM; STRUCTURAL RELIABILITY THEORY;

STRUCTURAL ANALYSIS;

LOAD LIMITS; RANDOM PROCESSES; RELIABILITY THEORY; STRUCTURAL ANALYSIS; VECTORS;

EID: 39749107185     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2089     Document Type: Article

References (26)

1. Madsen HO, Krenk S, Lind NC. Methods of Structural Safety. Prentice-Hall: Upper Saddle River, NJ, 1986.
2. Thoft-Christensen P, Murotsu Y. Application of Structural System Reliability Theory. Springer: Berlin, 1986.
3. Ditlevsen O, Madsen HO. Structural Reliability Methods. Wiley: New York, 1996.
4. Melchers RE. Structural Reliability, Analysis and Prediction. Wiley: New York, 1999.
5. Hodge PG. Plastic Analysis of Structures. Krieger: New York, 1981.
6. Kaliszky S. Plasticity, Theory and Engineering Applications. Elsevier: Amsterdam, 1989.
7. Save MA, Massonnet CE, Gery de Saxce. Limit Analysis of Plates, Shells and Disks (2nd rev. edn). North-Holland: Amsterdam, 1997.
8. Lubliner J. Plasticity Theory. Prentice-Hall: Upper Saddle River, NJ, 1998.
9. Cohn MZ, Maier G (eds). Engineering Plasticity by Mathematical Programming. Pergamon Press: New York, 1977.
10. Lloyd Smith D (ed.). Mathematical Programming Methods in Structural Plasticity. Springer: Berlin, 1990.
11. Biondini F. Probabilistic limit analysis of framed structures. Eighth ASCE Speciality Conference on Probabilistic Mechanics and Structural Reliability, Notre Dame, Indiana, 24-26 July 2000.
12. Heitzer M, Staat M. Reliability analysis of elastoplastic structures under variable loads. In Inelastic Analysis of Structures under Variable Loads: Theory and Engineering Applications, Weichert D, Maier G (eds). Kluwer: Dordrecht, 2000; 269-288.
13. Staat M, Heitzer M. LISA - a European project for FEM-based limit and shakedown analysis. Nuclear Engineering and Design 2001; 206:151-166.
14. Staat M, Heitzer M. Part VII. Probabilistic limit and shakedown problems. In Numerical Methods for Limit and Shakedown Analysis - Deterministic and Probabilistic Problems, Staat M, Heitzer M (eds). NIC Series, vol. 15, 2003; 217-268.
15. Augusti G, Baratta A. Limit analysis of structures with stochastic strength variation. Journal of Structural Mechanics 1972; 1(1):43-62.
16. Wang W, Ramirez MR, Corotis RB. Reliability analysis of rigid-plastic structures by the static approach. Structural Safety 1994; 15:209-235.
17. Baratta A. Discussion on Wang et al. (1994). Structural Safety 1995; 17(2):111-115.
18. Caddemi S, Ricciardi G, Saccà C. Limit analysis of structures with stochastic strengths by a static approach. Meccanica 2002; 37:527-544.
19. Alibrandi U, Ricciardi G. Una delimitazione in sicurezza della probabilità di collasso plastico nell'analisi limite aleatoria. Sixteenth AIMETA Congress of Theoretical and Applied Mechanics, Ferrara, 9-12 September 2003 (in Italian).
20. Alibrandi U, Ricciardi G. L'impiego di stati tensionali aleatori nell'approccio statico della analisi limite probabilistica. MECCANICA STOCASTICA '04, Congresso AIMETA di Meccanica Aleatoria ed Affidabilità Strutturale, Pantelleria, 31 Maggio-1 Giugno, 2004 (in Italian).
21. Augusti G. Some observations on the calculation of structural failure probability. Meccanica 1975; 10:61-63.
22. Augusti G, Baratta A, Casciati F. Probabilistic Methods in Structural Engineering. Chapman & Hall: London, 1984.
23. Baratta A. An improvement in the static method for limit analysis of structures with stochastic strength variations. Journal of Structural Mechanics 1973; 1(4):451-478.
24. Baratta A. Sul calcolo della probabilità di collasso plastico tramite il metodo statico. Proceedings of the 2nd AIMETA National Conference of Theoretical and Applied Mechanics, Napoli, vol. 2, 1974; 37-48 (in Italian).
25. Augusti G. Some observations on the calculation of structural failure probability. Meccanica 1975; 10(1):61-63.
26. Boyd S, Vandenberghe L. Convex Optimization. Cambridge University Press: Cambridge, MA, 2004.