Reliability Analysis of Mohr Failure Criterion
Publication: Journal of Engineering Mechanics
Volume 115, Issue 3
Abstract
For biaxial states of stress in mass concrete structures, safety can be assessed in terms of the Mohr failure criterion. Safety is generally evaluated by a deterministic factor of safety. When loads vary and material properties are not known with certainty, reliability analysis evaluates safety probabilistically. In this paper, deterministic and probabilistic safety evaluations are compared in terms of levels of uncertainty associated with load and resistance parameters and the extent is indicated to which the probabilistic approach is more informative than the deterministic approach. The effect on this comparison of several characteristics of concrete material is investigated. Three widely recognized design criteria are likewise compared.
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References
1.
Akroyd, T. N. W. (1961). “Concrete under triaxial stress.” Magazine of Concrete Research, 13(39), 111–118.
2.
Arthur, H. G., and Tarbox, G. S. (1975). “Bureau of Reclamation's design criteria for concrete arch and gravity dams.” Criteria and Assumptions in Numerical Analysis of Dams, Swansea, Wales, U.K., 109–120.
3.
Bresler, B., and Pister, K. S. (1957). “Failure of plain concrete under combined stresses.” Trans. ASCE, 122(2897), 1049–1068.
4.
Chambaud, M. R. (1951). “Résistance du béton aux contraintes triaxiales,” Annates de l'Institute Téchnique du Batiment et des Travaux Publics, 173, Feb., 1–15.
5.
Chuang‐zhi, W., Zhen‐hai, G., and Xiu‐gin, Z. (1987). “Experimental investigation of biaxial and triaxial compressive concrete strength.” ACI Mater. J., 84‐M11, 92–100.
6.
Cornell, C. A. (1969). “A probability‐based structural code.” J. Am. Concr. Inst., 66(12), 974–985.
7.
Hasofer, A. M., and Lind, N. C. (1978). “Exact and invariant second‐moment code format.” J. Engrg. Mech., ASCE, 100(EM1), 111–121.
8.
Hatano, T., Seki, S., and Nishizawa, N. (1964). “Strength of concrete under combined tensile and compressive stresses and its application to design of dam concrete.” Proc., 8th Congress, Int. Commission on Large Dams, Edinburgh, Scotland, U.K., 30(6), 95–126.
9.
Kaplan, M. F. (1963). “Strains and stresses of concrete at initiation of cracking and near failure.” J. Am. Concr. Inst., 60(7), 853–880, Discussions 1937–1943.
10.
Kupfer, H., Hilsdorf, H. K., and Rüsch, H. (1969). “Behaviour of concrete under biaxial stresses.” J. Amer. Conor. Inst., 66(8), 656–666.
11.
Leon, A. (1935). “Uber die Scherfestigkeit des Betons.” Beton und Eisen, 34(8), 130–135, in German.
12.
McHenry, D., and Kami, J. (1958). “Strength of concrete under combined tensile and compressive stress.” J. Am. Concr. Inst., 29(10), Proc. 54, 829–840.
13.
Mills, L. L., and Zimmermann, R. M. (1970, 1971). “Compressive strength of plain concrete under multiaxial loading conditions.” J. Am. Conor. Inst., 67(10), 802–807,
Discussions ACI J., 68(4), 296–302.
14.
Neville, A. M. (1978). Properties of concrete, Pitman, London, U.K.
15.
Rackwitz, R., and Fiessler, B. (1978). “Structural reliability under combined load sequences.” Comput. Struct., 9, 489–494.
16.
Raphael, J. M. (1984). “Tensile strength of concrete,” J. Am. Conor. Inst., 81(2), 158–165.
17.
Swamy, R. N. “Recommended practice for evaluation of strength test results of concrete.” (1977). ACI 214‐77, Amer. Concr. Inst., Detroit, Mich., 1–14.
“Fracture mechanics applied to concrete.” Developments in Concrete Technology 1, Chap. 6, F. D. Lydon, ed., Applied Science Publishers Ltd., London, U.K.
18.
Vile, G. W. D. (1968). “The strength of concrete under short‐term static biaxial stress.” The Structure of Concrete and its Behavior Under Load, Proceedings of an International Conference, London, Sept., 1965, London Cement & Concrete Assoc.
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Published In
Journal of Engineering Mechanics
Volume 115 • Issue 3 • March 1989
Pages: 447 - 464
Copyright
Copyright © 1989 ASCE.
History
Published online: Mar 1, 1989
Published in print: Mar 1989
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