An inverse problem analysis for the determination of probalistic parameters of concrete behavior modeled by a statistical approach

Materials and Structures/Materiaux et Constructions

Volumn 32, Issue 1, 1999, Pages 9-13

  Fairbairn, E M R ^a   Guedes, Q M ^b   Ulm, F J ^c  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b FURNAS Centrais Elétricas S A R Real Grandeza   (Brazil)

^c Lab Central des Ponts et Chaussees   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; INVERSE PROBLEMS; MATHEMATICAL MODELS; STATISTICAL METHODS;

STANDARD DEVIATION;

CONCRETES;

EID: 0032715309     PISSN: 13595997     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02480406     Document Type: Article

References (15)

1. Ebecken, N. F. F. and Lima, B. S. L. P., 'Uncertainty representation models in the analysis of an elastic medium' in 'Proceedings of the Symposium on Recent Developments in Solid Mechanics', (LNCC Laboratório Nacional de Computação Cintífica, RJ, Brazil), 1996, 1-9.
2. Vanmarcke, M. and Grigoriu, M., 'Stochastic finite elements analysis of simple beams', J. Engng. Mechanics, ASCE 109 (1983) 1203-1214.
3. Yamazaki, F. and Shinozuka, M., 'Neumann expansion for stochastic finite element analysis', J. Engng. Mechanics, ASCE Ibid. 114 (1988) 1335-1354.
4. Hien, T. D. and Kleiber, M., 'Finite element analysis based on stochastic Hamilton variational principle', Computer and Structures 37 (1990) 893-902.
5. Liu, W. K., Belytschko, T. and Mani, A., 'Random fields finite elements', Int. J. for Numerical Methods in Engineering 23 (1986) 1831-1845.
6. Araujo, J. M. and Awruch, A. M., 'On stochastic finite elements for structural analysis', Computer and Structures 52 (1994) 461-469.
7. Frantziskonis, G., 'Heterogeneity and implicated surface effects: statistical, fractal formulation and relevant analytical solution', Acta Mechanica 108 (1995), 157-178.
8. Carmeliet, J. and de Borst, R., 'Stochastic approaches for damage evolution in standard and non-standard continua', Int. J. Solids Structures 8/9 (1995) 1149-1160.
9. Rossi, P., Wu, X., le Maou, F. and Belloc, A., 'Scale effect on concrete in tension', Mater. Struct. 27 (1994) 437-444.
10. Rossi, P., Ulm, F.-J. and Hachi, F., 'Compressive behavior of concrete: physical mechanisms and modeling', Journal of Engng. Mechanics, ASCE 122 (1996) 1038-1043.
11. Rossi, P. and Richer, S., 'Numerical modelling of concrete cracking based on a stochastic approach', Mater. Struct. 20 (1987) 334-337.
12. Rossi, P. and Ulm, F.-J., 'Size effects in the biaxial behavior of concrete: physical mechanisms and modeling', Mater. Struct. Ibid. 30 (198) (1997) 210-216.
13. Press, W. H., Teukolsky, S., Vetterling, W. T. and Flannery, B., 'Numerical Recipes', (Cambridge University Press, 1992).
14. Saraiva, J. M. F., 'The utilization of neural networks combined with the Monte Carlo Method applied to the analysis of structural reliability' (in portuguese), Ph.D. Thesis, (COPPE/UFRJ, 1997).
15. Lima, B. S. L. P., 'Probabilistic and possibilistic models for the uncertainty treatment of the continuum properties' (in portuguese), Ph.D. Thesis, (COPPE/UFRJ, 1996).