Abstract
This paper presents a unified calculation method and its application in determining the uniaxial mechanical properties of concrete with concrete strengths ranging from 10 to 140 MPa. By analyzing a large collection of test results of the uniaxial mechanical properties of normal-strength, high-strength and super high-strength concrete in China and performing a regression analysis, unified calculation formulas for the mechanical indexes of concrete are proposed that can be applied to various grades of concrete for determining the size coefficient, uniaxial compressive strength, uniaxial tensile strength, elastic modulus, and strain at peak uniaxial compression and tension. Optimized mathematical equations for the nonlinear stress-strain relationship of concrete, including the ascending and descending branches under uniaxial stress, are also established. The elastic modulus is almost constant throughout the elastic stage for the ascending branches of the stress-strain relationship for concrete. The proposed stress-strain relationship of concrete was applied to the nonlinear finite element analysis of both a steel-concrete composite beam and a concrete-filled steel tubular stub column. The analytical results are in good agreement with the experiment results, indicating that the proposed stress-strain relationship of concrete is applicable. The achievements presented in this paper can be used as references for the design and nonlinear finite element analysis of concrete structures.
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References
GB50010-2002. Code for Design of Concrete Structures. Beijing: China Building Industry Press, 2002 (in Chinese)
China Academy of Building Research. Study Report of Reinforced Concrete Structure, Vol. 1 (Basic Mechanical Indexes of Concrete). Beijing: China Building Industry Press, 1977, 21–36 (in Chinese)
Chen Z Y, Zhu J Q, Wu P G. High-strength Concrete and Its Applications. Beijing: Tsinghua University Press, 1992 (in Chinese)
China Academy of Building Research. Study Report of Reinforced Concrete Structure, Vol. 3 (Mechanical Properties of High-Strength Concrete). Beijing: China Building Industry Press, 1994 (in Chinese)
Li H, Zhou W S, Wang Z Y, et al. The basic mechanical properties of high performance concrete and very high performance concrete with and without reinforcement. Journal of Building Structures, 2003, 24(5): 58–71 (in Chinese)
Zhao W L. Tang J Y. Mechanical properties of self-compacting concrete. Sichuan Building Science, 2006, 32(2): 142–145 (in Chinese)
CEB-FIP MODEL CODE 1990, Bulletin D’Information No. 213/214. Lausanne, Switzerland: Comite Euro-International du Beton, 1993
Norwegian Standard N S 3473. Design of Concrete Structures. Norwegian Council for Building Standardization, Oslo, Norway, 1992 (in Norwegian)
Howard N L, Leatham D M. The production and delivery of highstrength concrete. Concrete International: Design & Construction, 1989, 11(4): 26–30
Carrasquillo P M, Carrasquillo R L. Evaluation of the use of current concrete practice in the production of high-strength concrete. ACI Materials Journal, 1988: 85(1): 49–54
Yazici S, Inansezer G. The effect of cylindrical specimen size on the compressive strength of concrete. Building and Environment, 2007, 42(6): 2417–2420
Lessard M, Chaallal O, Atcin P C. Testing high-strength concrete compressive strength. ACI Materials Journal, 1993, 90(4): 303–308
Aitcin P C, Miao B, Cook W D, et al. Effects of size and curing on cylinder compressive strength of normal and high-strength concrete. ACI Materials Journal, 1994, 91(4): 349–354
GBJ10-89. Specifcations for Design of concrete structures. Beijing: China Architecture and Building Press, 1990 (in Chinese)
Li J K, Wang W. Basic mechanical indexes of high strength concrete. Industrial Construction, 1997, 27(8): 50–54 (in Chinese)
Pu X C, Wang Z J, Wang C, et al. Mechanical properties of super high-strength and high performance concrete. Journal of Building Structures, 2002, 23(6): 49–55 (in Chinese)
Wang Y W. Choice and preparation for kilometer compressive material (KCM) and study on its configuration and mechanical properties. Dissertation for the Doctoral Degree. Chongqing: Chongqing University, 2004 (in Chinese)
Li Y J. Study and application of high performance concrete containing ultra-fine fly ash designed for railway prestressed bridge girders. Dissertation for the Doctoral Degree. Changsha: Central South University, 2005 (in Chinese)
Guo Z H. Strength and deformation of concrete (test foundation and constitutive relationship). Beijing: Tsinghua University Press, China, 1997 (in Chinese)
Xu L Y. Experimental research on stress-strain curves of high performance concrete and compact reinforced high performance concrete in tension. Dissertation for the Doctoral Degree. Wuhan: Wuhan University of Hydraulic and Electric Engineering, 1998 (in Chinese)
Yang X. The complete stress-strain curves of high strength concrete under direct tension. Journal of Shanghai Institute of railway technology, 1995, 16(4):1–5 (in Chinese)
Zhou Z Q, Li X, Shen Z L. Experimental investigation of tensile behavior of ordinary concrete. China Journal of Highway and Transport, 1994, 7(2): 15–19 (in Chinese)
Cai S H, Zuo H X. Cracking resistance of high-strength concrete. China Civil Engineering Journal, 1992, 25(2): 23–31 (in Chinese)
Hu H T. Ye Z M. A test research into stress-strain curves of highstrength concrete mixed with mineral powder of ash. Journal of Qingdao Institute of Architecture and Engineering, 1996, 17(1): 1–9 (in Chinese)
China Academy of Building Research. Study Report of Reinforced Concrete Structure, Vol. 3 (Strength and Deformation of Highstrength concrete confined by steel nets). Beijing: China Building Industry Press, 1994, 424–432 (in Chinese)
Yin J, Zhou S Q, Xie Y J. Study of ultimate tensile strain of high strength and high performance concrete. Industrial Construction, 2000, 30(7): 47–49
Zang Y L, Li J K, Zhou O K. Experimental investigation of concrete homogenous tensile strength. Concrete, 2006, 28(2): 39–41 (in Chinese)
Sargin M. Stress-stain relationship for concrete and the analysis of the structural concrete sections. Study No. 4, Solid Mechanical Division. University of Waterloo, Ontario, 1971, 167: 171
Xu J F. Experimental research on stress-strain curves of highstrength concrete. Dissertation for the Doctoral Degree. Beijing: Tsinghua University, 1986 (in Chinese)
Ding F X. Yu Z W. Strength criterion for plain concrete under multiaxial stress based on damage Poisson’s ratio. Acta Mechanica Solida Sinica, 2006, 19(4): 307–316
Hibbitt K. Sorenson. ABAQUS version 6.4: theory manual, users’ manual, verification manual and example problems manual. Hibbitt, Karlson, Sorenson Inc. USA, 2003
Wang Y Y, Zhang S M, Yang H. Basic behavior of high-strength concrete-filled steel tubular short columns under axial compressive loading. In: Proceedings of the 9th International Symposium on Structures Engineering for Young Experts. Beijing: Science Press, 2006, 1436–1442
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Ding, F., Ying, X., Zhou, L. et al. Unified calculation method and its application in determining the uniaxial mechanical properties of concrete. Front. Archit. Civ. Eng. China 5, 381–393 (2011). https://doi.org/10.1007/s11709-011-0118-6
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DOI: https://doi.org/10.1007/s11709-011-0118-6