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Frontiers of Structural and Civil Engineering

Front Arch Civil Eng Chin    2011, Vol. 5 Issue (3) : 381-393     https://doi.org/10.1007/s11709-011-0118-6
RESEARCH ARTICLE |
Unified calculation method and its application in determining the uniaxial mechanical properties of concrete
Faxing DING(), Xiaoyong YING, Linchao ZHOU, Zhiwu YU
College of Civil Engineering, Central South University, Changsha 410004, China
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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.

Keywords concrete      mechanical properties      stress-strain relationship      uniaxial stress      application     
Corresponding Authors: DING Faxing,Email:dinfaxin@mail.csu.edu.cn   
Issue Date: 05 September 2011
 Cite this article:   
Faxing DING,Xiaoyong YING,Linchao ZHOU, et al. Unified calculation method and its application in determining the uniaxial mechanical properties of concrete[J]. Front Arch Civil Eng Chin, 2011, 5(3): 381-393.
 URL:  
http://journal.hep.com.cn/fsce/EN/10.1007/s11709-011-0118-6
http://journal.hep.com.cn/fsce/EN/Y2011/V5/I3/381
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Faxing DING
Xiaoyong YING
Linchao ZHOU
Zhiwu YU
fcu,10/MPa2030405060708090100110120130140150
fcu/fcu,10Ref. [2]0.950.950.950.950.95
Eq. (1)0.9270.9240.9220.9210.920.9190.9180.9180.9170.917
Eq. (2)0.9720.9640.9550.9480.9420.9360.9310.9260.9220.9180.9150.9120.9090.906
Tab.1  Comparison of size coefficients of cubic concrete
Fig.1  Relationship between and
Fig.2  Relationship between and
Fig.3  Relationship between and
fcu/MPa2030405060708090100110120130140150
fc/fcuEq. (5)0.760.760.760.760.76
Eq. (6)0.770.810.840.860.88
Eq. (7)0.660.700.740.770.790.810.830.850.860.880.890.900.910.92
Tab.2  Ratio of uniaxial compressive strength to compressive cube strength
fcu/MPamean and standard deviationfc,test/fc,calft,test/ft,cal
Eq. (5)Eq. (6)Eq. (7)Eq. (8)Eq. (9)Eq. (10)
< 60mean0.9911.3981.0510.9631.1691.043
standard deviation0.0840.1020.0910.1260.1530.137
≥ 60mean1.1350.9921.0220.9171.1080.994
standard deviation0.1010.0790.0810.1340.1610.144
10 ~ 140mean1.0791.1491.0340.9521.1541.031
standard deviation0.1251.3740.0960.1290.1570.140
Tab.3  Mean and standard deviation of / and /
Fig.4  Relationship between and
Fig.5  Relationship between and
Fig.6  Relationship between and . (a) Under compression; (b) under tension
fcu/MPamean and standard deviationEc,test/Ec,cal
Eq. (11)Eq. (12)Eq. (13)Eq. (14)
< 60mean1.0110.9650.9811.006
standard deviation0.0870.0820.0880.085
≥ 60mean1.0860.9550.8920.992
standard deviation0.1480.1060.0940.110
10-140mean1.0410.9610.9461.000
standard deviation0.1200.0920.1010.096
Tab.4  Mean and standard deviation of / and /
Fig.7  Relationship between and
Fig.8  Relationship between and
mean and standard deviationEq. (15)Eq. (16)Eq. (17)
mean1.0491.0581.051
standard deviation0.1090.1070.106
Tab.5  Mean and standard deviation of strain at peak uniaxial compression
Fig.9  Relationship between and
Fig.10  Relationship between and
Fig.11  Comparison between predicted curves and tested ones of uniaxial compression
Fig.12  Comparison between predicted curves and tested ones of uniaxial tension
Fig.13  Mesh division and boundary conditions for the model. (a) Steel-concrete composite beam; (b) concrete-filled steel tubular stub column
Fig.14  Test layout and parameters for the steel-concrete composite beam (unit: mm)
Fig.15  Comparison between predicted curves and test ones on moment-deflection
Fig.16  Comparison between predicted curves and test ones on load-end slip
Fig.17  Comparisons between calculated and measured load-strain curves at mid-span. (a) Predicted curves; (b) test curves
Fig.18  Experimental failure mode of the steel-concrete composite beam
Fig.19  Failure mode of the steel-concrete composite beam based on finite element analysis. (a) Concrete; (b) steel beam
Fig.20  Comparison between calculated and measure curves for CFT stub columns. (a) Axial load-strain relationship; (b) stress-axial strain relationship
Fig.21  Failure mode subjected to CFST using finite element analysis. (a) Steel tube; (b) concrete
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