Solidification Theory for Concrete Creep. II: Verification and Application
Publication: Journal of Engineering Mechanics
Volume 115, Issue 8
Abstract
The theory that was formulated in the preceding paper is verified and calibrated by comparison with important test data from the literature pertaining to constant as well as variable stress at no (or negligible) simultaneous drying. Excellent agreement is achieved. The formulation describing both elastic and creep deformations contains only four free material parameters, which can be identified from test data by linear regression, thus simplifying the task of data fitting. For numerical structural analysis, the creep law is approximated in a rate‐type form, which corresponds to describing the solidified matter by a Kelvin chain with nonaging elastic moduli and viscosities. This age‐independence on the microlevel makes it possible to develop for the present model a simple version of the exponential algorithm.
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References
1.
Anderson, C. A. (1982a). “Numerical creep analysis of structures.” Creep and Shrinkage in Concrete Structures, Chap. 8, Z. P. Bažant and F. H. Wittmann, eds., John Wiley & Sons, Inc., New York, N.Y., 297–301.
2.
Anderson, C. A., Smith, P. D., and Carruthers, L. M. (1982b). “NONSAP‐C: A nonlinear strain analysis program for concrete containments under static, dynamic and long‐term loadings.” Report NUREG/CR0416, LA‐7496‐MS, Rev. 1, R7 and R8, Los Alamos Nat. Lab., Los Alamos, N.M.
3.
Bažant, Z. P. (1971). “Numerically stable algorithm with increasing time steps for integral‐type aging concrete.” Proc., First Int. Conf. on Structural Mechanics in Reactor Technology, 3, H2/3, Berlin, W. Germany.
4.
Bažant, Z. P., and Wu, S. T. (1973). “Dirichlet series creep function for aging concrete.” J. Engrg. Mech., ASCE, 99, 367–387.
5.
Bažant, Z. P. (1975). “Theory of creep and shrinkage in concrete structures: A precis of recent developments.” Mechanics Today, 2, Pergamon Press, New York, N.Y., 1–93.
6.
Bažant, Z. P. (1977). “Viscoelasticity of a solidifying porous material—Concrete.” J. Engrg. Mech., ASCE, 1049–1067.
7.
Bažant, Z. P., and Asghari, A. A. (1977). “Constitutive law for nonlinear creep of concrete.” J. Engrg. Mech., ASCE, 103(1), 113–124.
8.
Bažant, Z. P., and Panula, L. (1978). “Practical prediction of time‐dependent deformations of concrete.” Materials and Structures, RILEM, Paris, France, 11(65), 307–328;
(66) 415–434;
12(69), 169–183.
9.
Bažant, Z. P., and Kim, S. S. (1979). “Nonlinear creep of concrete—adaptation and flow.” J. Engrg. Mech., ASCE, 105, 429–446.
10.
Bažant, Z. P., and Panula, L. (1980). “Creep and shrinkage characterization for analyzing prestressed concrete structures.” J. Prestressed Concr. Inst., 25(3), 86–122.
11.
Bažant, Z. P. (1982). “Mathematical models for creep and shrinkage of concrete.” Creep and Shrinkage in Concrete Structures, Chap. 7, Z. P. Bažant and F. H. Wittmann, eds., John Wiley & Sons, Inc., New York, N.Y., 163–256.
12.
Bažant, Z. P., Tsubaki, T., and Celep, Z. (1983). “Singular history integral for creep rate of concrete.” J. Engrg. Mech., ASCE, 109, 866–884.
13.
Bažant, Z. P., and Chern, J. C. (1985). “Concrete creep at variable humidity.” Materials and Structures, RILEM, Paris, France, 18(103), 1–20.
14.
Bažant, Z. P., and Chern, J. C. (1987). “Stress‐induced thermal and shrinkage strains in concrete.” J. Engrg. Mech., ASCE, 113, 1493–1511.
15.
Browne, R. D., and Bamforth, P. P. (1975). “The long‐term creep of the Wylfa P. V. concrete for loading ages up to 12‐1/2 years.” 3rd Int. Conf. on Structural Mechanics in Reactor Technology, H1/8, London, England.
16.
Carol, I., and Murcia, J. (1986). “An incremental model for nonlinear time‐dependent behavior of concrete in compression.” 4th Int. Symp. on Creep and Shrinkage of Concrete: Mathematical Modeling, RILEM, Paris, France, 797–805.
17.
Chern, J. C., and Wu, Y. G. (1986). “Rheological model with strain‐softening and exponential algorithm for structural analysis.” 4th RILEM Int. Symp. on Creep and Shrinkage of Concrete: Mathematical Modeling, Northwestern Univ., Evanston, Ill., Z. P. Bažant, ed., 591–600.
18.
Espion, B. (1986). “Application of some time‐dependent prediction models to the analysis of structural elements under sustained load.” 4th RILEM Int. Symp. on Creep and Shrinkage of Concrete: Mathematical Modeling, Northwestem Univ., Evanston, Ill., Z. P. Bažant, ed., 609–622.
19.
Ha, H., Osman, M. A., and Huterer, J. (1984). “User's guide: Program for predicting shrinkage and creep in concrete structures.” File: NK38‐26191P, Ontario Hydro, Toronto, Ontario, Canada.
20.
Hanson, J. (1953). “A ten‐year study of creep properties of concrete.” Conc. Lab. Report No. SP‐38, U.S. Dept. of the Interior, Bureau of Reclamation, Denver, Colo.
21.
Harboe, E. M., et al. (1958). “A comparison of the instantaneous and sustained modulus of elasticity of concrete.” Conc. Lab. Report No. C‐854, U.S. Dept. of the Interior, Bureau of Reclamation, Denver, Colorado.
22.
Huterer, J., Brown, D. G., and Yanchula, S. (1985). “Arlington GS vacuum building.” Nucl. Eng. Des., 85, 119–140.
23.
Jonasson, J. E. (1978). “Analysis of creep and shrinkage in concrete and its application to concrete top layers.” Cem. Concr. Res., 8, 397–418.
24.
Kang, Y. J., and Scordelis, A. C. (1980). “Nonlinear analysis of prestressed concrete frames.” J. Struct. Engrg., ASCE, 106(2), 445–462.
25.
Kimishima, H., and Kitahara, H. (1964). “Creep and creep recovery of mass concrete.” Tech. Report C‐64001, Central Research Institute of Electric Power Industry, Tokyo, Japan.
26.
Komendant, G. J., Polivka, M., and Pirtz, D. (1976). “Study of concrete properties for prestressed concrete reactor vessels; part 2, creep and strength characteristics of concrete at elevated temperatures.” Report No. UC SESM 76‐3, Structures and Materials Research, Dept. of Civ. Engrg., Univ. of California, Berkeley, California.
27.
L'Hermite, R., Mamillan, M., and Lefèvre, C. (1965). “Nouveaux resultats de recherches sur la deformation et al. rupture du beton.” Annales de l'Institut Techn. du Batiment et des Travaux Publics, 18(207–8), 325–260.
28.
L'Hermite, R. G., and Mamillan, M. (1968a). “Further results of shrinkage and creep tests.” Proc., Int. Conf. on the Structure of Concrete, Cement and Concrete Assoc., London, England, 423–433.
29.
Mamillan, M. (1959). “A study of the creep of concrete.” Bull. No. 3, RILEM, Paris, France, 15–33.
30.
“Mathematical modeling of creep and shrinkage of concrete.” (1986). “State‐of‐Art Report,” 4th RILEM Int. Symp. on Creep and Shrinkage of Concrete: Mathematical Modeling, Northwestem Univ., Evanston, Ill., Z. P. Bažant, ed., Technical Committee TC69, 39–455.
31.
Mullick, A. K. (1972). “Effect of stress‐history on the microstructure and creep properties of maturing concrete,” thesis presented to the University of Calgary, Alberta, Canada, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
32.
Ožbolt, J. (1986). “Time‐history analysis of reinforced concrete frames.” RILEM Symp., 665–674.
33.
Polivka, M., Pirtz, D., and Adams, R. F. (1964). “Studies of creep in mass concrete.” Proc., Symp. on Mass Concrete, Am. Conc. Inst., 257–285.
34.
Ross, A. D. (1958). “Creep of concrete under variable stress.” Proc., J. Am. Conc. Inst., 54, 739–758.
35.
Rostasy, F. S., Teichen, K.‐Th., Engelke, H. (1972). “Beitrag zur Klarung des Zusammenhanges von Kriechen und Relaxation bei Normal‐beton. Amtliche Forschungs‐und Materialprufungsanstalt fur das Bauwesen. Otto‐Graf‐Institut, Universitat Stuttgart, Strassenbau und Strassenverkehrstechnik, Heft 139, Stuttgart, Germany.
36.
Taylor, R. L., Pister, K. S., and Goudreau, G. L. (1970). “Thermomechanical analysis of viscoelastic solids.” Int. J. Numer. Methods Engrg., 2, 45–60.
37.
Thelandersson, S. (1983). “On the multiaxial behavior of concrete exposed to high temperature.” Nucl. Eng. Des., 75(2), 271–282.
38.
Young, J. F. et al. (1986). “Physical mechanisms and their mathematical interpretations.” 4th RILEM Int. Symp. on Creep and Shrinkage of Concrete: Mathematical Modeling, Northwestem Univ., Evanston, Ill., Z. P. Bažant, ed., 41–80.
39.
Zienkiewicz, O. C., Watson, M., and King, I. P. (1968). “A numerical method of viscoelastic stress analysis.” Int. J. Mech. Sci., 10, 807–837.
Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 115 • Issue 8 • August 1989
Pages: 1704 - 1725
Copyright
Copyright © 1989 ASCE.
History
Published online: Aug 1, 1989
Published in print: Aug 1989
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