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Analysis on Creep of Concrete under Multiaxial Stresses Using Microplane Model
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 Title & Authors
Analysis on Creep of Concrete under Multiaxial Stresses Using Microplane Model
Kwon Seung-Hee; Kim Yun-Yong; Kim Jin-Keun;
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Poisson's ratio due to multiaxial creep of concrete reported by existing experimental works was controversial. Poisson's ratio calculated from measured strain is very sensitive to small experimental error. This sensitivity make it difficult to find out whether the Poisson's ratio varies with time or remain constant, and whether the Poisson's ratio has different value with stress states or not. A new approach method is needed to resolve the discrepancy and obtain reliable results. This paper presents analytical study on multiaxial creep test results. Microplane model as a new approach method is applied to optimally fitting the test data extracted from experimental studies on multiaxial creep of concrete. Double-power law is used as a model to present volumetric and deviatoric creep evolutions on a microplane. Six parameters representing the volumetric and deviatoric compliance functions are determined from regression analysis and the optimum fits accurately describe the test data. Poisson's ratio is calculated from the optimum fits and its value varies with time. Regression analysis is also performed assuming that Poisson's ratio remains constant with time. Four parameters are determined for this condition, and the error between the optimum fits and the test data is slightly larger than that for six parameter regression results. The constant Poisson's ratio with time is obtained from four parameter analysis results and the constant value can be used in practice without serious error.
creep;multiaxial stresses;Regression analysis;Poisson's ratio;microplane model;
 Cited by
권승희, 김선영, 김진근, '다축응력 상태에 놓인 콘크리트의 크리프에 특성에 관한 실험 연구', 콘크리트학회논문집, 16권 2호, 2004, pp.185-194

Gopalakrishnan, K. S., Neville, A. M., and Ghali, A.,'Creep Poisson's Ratio of Concrete under Multiaxial Compression,' ACI Journal, Vol.66, No.66, 1969. pp.1008-1019

Gopalakrishnan, K. S., 'Creep of Concrete underMultiaxial Compressive Stresses, PhD Dissertation,'The University of Calgary, Canada, Apr. 1968

Jordaan I. J. and Illston, J. M., 'The Creep of SealedConcrete under Muldaxial Compressive Stresses,'Magazine of Concrete Research, Vo1.21, No.69, 1969,pp.195-204 crossref(new window)

Jordaan I. J. and Illston, J. M., 'Time-dependent Strains in Sealed Concrete under Systems of Variable Multiaxial Stress,' Magazine of concrete Research, Vol.23, No.75-76, 1971, PP.79-88 crossref(new window)

York, G. R., Kennedy, T. W., and Perry, E. S.,'Experimental Investigation of Creep in ConcreteSubjected to Multiaxial Compressive Stresses andElevated temperature,' Concrete for NuclearReactors, ACI SP-34, 1971, pp.641-700

Mcdonald, J. E., 'An Experimental Study ofMuldaxial Creep in Concrete, Concrete for NuclearReactors,' ACI SP-34, Concrete for NuclearReactors, Detroit, 1972, PP.732-768

Meyer, H. G., 'Qn the Influence of Water Contentand of Drying Conditions on Lateral Creep of PlainConcrete,' Materials and Structures, Vo1.2, 1969, pp.125-131

Arthanari, S. and Yu, C. W., 'Creep of Concreteunder Uniaxial and Biaxial Stresses at ElevatedTemperatures,' Magazine of Concrete Research,Vo1.19, 1967, pp.149-156 crossref(new window)

Ross, A. D., 'Experiments on the Creep of Concreteunder Two-dimensional Stressing,' Magazine ofConcrete Research, Vo1.6, No.16, 1954, pp.3-10 crossref(new window)

Duke, C. M. and Davis, H R., 'Some Properties ofConcrete under Sustained Combined Stress,'Proceedings of the American Society for Testingand Materials, 1944, pp.888-896

Hannant, D. J., 'Strain Behavior of Concrete up to95$^{\circ}C$ under Compressive Stresses,' Conference onPrestressed Concrete Pressure Vessels, London,Institute of Civil Engineering, 1967, pp.177-191

Kordina, K., 'Experiments on the Influence of theMineralogical Character of Aggregates on the Creepof Concrete,' RILEM Bulletin, No.6, 1960, PP.7-22

Bazant, Z. R., Caner, F. C., Adley, M. D., andAkers, S. A., 'Microplane Model M4 for Concrete I:Formulation with Work-conjugate DeviatoricStress,' Journal of Engineering Mechanics, Vo1.136,No.9, 2000, pp.944-953

Bazant, Z. P. and Oh, B. H., 'Microplane Model forProaressive Fracture of Concrete and Rock,'Journal of Engineering Mechanics, Vol.lll, 1985,pp.1672-1702

Bazant, Z. P. and Kim, J. K., 'Creep of Anisotropic Clay: Microplane Model,' Journal of Geotechnical Engineering, ASCE, Vol.112, No.4, 1986, pp.458-475 crossref(new window)

Bazant, Z. P. and Oh, B. H., 'Efficient Numerical Integration on the Surface of a Sphere,' Zeitschrift fur Angewandte Mathematik und Mechanik, Vol.66, 1986, pp.37-49 crossref(new window)

Brown, K. M., 'Derivative-free Analogues of the Levenberg. Marquardt and Gauss Algorithms for Non-linear Least Square Approximations,' IBM, Philadelphia Scientific Center Technical Report, No.320-2994, 1970

Bazant, Z. P. and Osman, E., 'Double-power Law for Basic Creep,' Materials and Structures, Vol.9,No.49, 1976, pp.3-11

Bazant, Z. R., 'Mathematical Models for Creep and Shrinkage of Concrete,' Creep and shrinkage in Concrete Structures, Bazant, Z. R., and Wittmann,F. H., eds., Jhon Wiley & Sons, Inc., New York,N.Y., pp.163-256