TECHNICAL PAPERS
Sep 1, 1991

Probabilistic FEM for Nonlinear Concrete Structures. I: Theory

Publication: Journal of Structural Engineering
Volume 117, Issue 9
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References

1.
Besterfield, G. H., Liu, W. K., Lawrence, M., and Belytschko, T. (1990). “Brittle fracture by probabilistic finite elements.” J. Engrg. Mech., ASCE, 116(3), 642–659.
2.
Bjerager, P. (1989). “On computation methods for structural reliability analysis.” New directions in structural system reliability. D. M. Frangopol, ed., Univ. of Colorado, Boulder, Colo., 52–67.
3.
Der Kiureghian, A. (1985). “Finite element method in structural safety studies.” Structural safety studies, J. T.‐P. Yao et al., eds., ASCE, New York, N.Y., 40–52.
4.
Frangopol, D. M., ed. (1989). New directions in structural system reliability. Univ. of Colorado, Boulder, Colo.
5.
Handa, K., and Andersson, K. (1981). “Application of finite element methods in the statistical analysis of structures.” Proc. 3rd Int. Conf. on Struct. Safety and Reliability, 409–417, Jun.
6.
Liu, W. K., Belytschko, T., and Mani, A. (1986a). “Probabilistic finite element methods for nonlinear structural dynamics.” Comput. Methods Appl. Mech. Engrg., 56(1), 61–81.
7.
Liu, W. K., Belytschko, T., and Mani, A. (1986b). “Random field finite elements.” Int. J. Numer. Methods Engrg., 23(10), 1831–1845.
8.
Liu, W. K., Besterfield, G. H., and Belytschko, T. (1988). “Variational approach to probabilistic finite elements.” J. Engrg. Mech., ASCE, 114(12), 2115–2133.
9.
Liu, P.‐L., and Der Kiureghian, A. (1989). “Finite element reliability methods for geometrically nonlinear stochastic structures.” Report No. UCB/SEMM‐89/05, Dept. of Civ. Engrg., Univ. of California, Berkeley, Calif.
10.
Mirza, S. A., and Mac Gregor, J. G. (1982). “Probabilistic study of strength of reinforced concrete members.” Can. J. Civ. Engrg., 9(3), 431–448.
11.
Shinozuka, M., and Dasgupta, G. (1986). “Stochastic finite element methods in dynamics.” Dynamics Response of Structures, G. C. Hart and R. B. Nelson, eds., ASCE, New York, N.Y., 44–54.
12.
Shinozuka, M., and Deodatis, G. (1988). “Response variability of stochastic finite element systems.” J. Engrg. Mech., ASCE, 114(3), 499–519.
13.
Spanos, P. D., and Ghanem, R. (1988). “Stochastic finite element expansion for random media.” Report NCEER‐88‐0005, Nat. Ctr. for Earthquake Engrg. Res., State Univ. of New York, Buffalo, N.Y., Mar.
14.
Teigen, J. G. (1990). “Probabilistic finite element method (PFEM) for concrete structures.” Struct. Res. Series Report No. 90‐04, Dept. of Civ. Engrg., Univ. of Colorado, Boulder, Colo., Jun.
15.
Teigen, J. G., Frangopol, D. M., Sture, S., and Felippa, C. A. (1991). “Probabilistic FEM for nonlinear concrete structures. II: Applications.” J. Struct. Engrg., ASCE, 117(9), 2690–2707.
16.
Vanmarcke, E. H. (1983). Random fields: Analysis and synthesis. MIT Press, Cambridge, Mass.
17.
Vanmarcke, E. H., and Grigoriu, M. (1983). “Stochastic finite element analysis of simple beams.” J. Engrg. Mech., ASCE, 109(5), 1203–1214.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 117Issue 9September 1991
Pages: 2674 - 2689

History

Published online: Sep 1, 1991
Published in print: Sep 1991

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Authors

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Jan G. Teigen
Prin. Engr., Det norske Veritas, P.O. Box 300, N‐1322 Høvik, Norway; formerly, Grad. Student, Dept. of Civ. Engrg., Univ. of Colorado at Boulder, Boulder, CO 80309‐0428
Dan M. Frangopol, Member, ASCE
Prof. of Civ. Engrg., Dept. of Civ. Engrg., Univ. of Colorado at Boulder, Boulder, CO 80309‐0429
Stein Sture, Member, ASCE
Prof. of Civ. Engrg., Dept. of Civ. Engrg., Univ. of Colorado at Boulder, Boulder, CO
Carlos A. Felippa
Prof. of Aerospace Engrg., Dept. of Aerospace Engrg. Sci., Ctr. for Space Structures and Controls, Univ. of Colorado at Boulder, Boulder, CO 80309‐0429

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