A Stochastic Tensile Damage Model for Loading/Unloading of Concrete and Experimental Validation

HU Shao-wei; HUANG Yi-qun

doi:10.21656/1000-0887.370254

Volume 38 Issue 6

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2017 > 38(6): 652-662

HU Shao-wei, HUANG Yi-qun. A Stochastic Tensile Damage Model for Loading/Unloading of Concrete and Experimental Validation[J]. Applied Mathematics and Mechanics, 2017, 38(6): 652-662. doi: 10.21656/1000-0887.370254

Citation:

PDF( 1768 KB)

A Stochastic Tensile Damage Model for Loading/Unloading of Concrete and Experimental Validation

doi: 10.21656/1000-0887.370254

HU Shao-wei^1,2,
HUANG Yi-qun¹

¹College of Mechanics and Materials, Hohai University, Nanjing 210098, P.R.China;²Department of Materials and Structure Engineering, Nanjing Hydraulic Research Institute,Nanjing 210024, P.R.China

Funds: The National Science Fund for Distinguished Young Scholars of China (51325904); The National Natural Science Foundation of China (51279111)

Received Date: 2016-08-16
Rev Recd Date: 2017-04-10
Publish Date: 2017-06-15

Abstract

Abstract

To analyze the mechanical properties of concrete in the case of tensile loading and unloading, a stochastic elastoplastic tensile damage model of mesoscopic springs was proposed for the axial loading and unloading of concrete, with the loading and unloading stress-strain relationships of concrete deduced. To validate the rationality and accuracy of the model, an experimental research on axial tensile loading and unloading of concrete was carried out, where the concrete parameters and the stress-strain relationships were measured. Comparison between the experimental results and the calculation model results shows that, the model can well predict the ultimate tensile strength, meanwhile nicely depict the strength softening, the residual strain after unloading and the elastic modulus degradation of concrete.
- concrete,
- axial tension,
- elastoplasticity,
- loading and unloading,
- mesoscopic spring model

FullText(HTML)

References(17)

References

[1]	陈惠发, A·F·萨里普. 混凝土和土的本构方程[M]. 余天庆, 王勋文, 刘西拉,等译. 北京: 中国建筑工业出版社, 2004.(CHEN Hui-fa, Saleeb A F. Constitutive Equations for Materials of Concrete and Soil [M]. YU Tian-qing, WANG Xun-wen, LIU Xi-la, et al transl. Beijing: China Architecture & Building Press, 2004.(in Chinese))
[2]	余天庆, 钱济成. 损伤理论及其应用[M]. 北京: 国防工业出版社, 1993.(YU Tian-qing, QIAN Ji-cheng. Damage Theory and Its Application [M]. Beijing: National Defence Industry Press, 1993.(in Chinese))
[3]	齐虎, 李云贵, 吕西林. 混凝土弹塑性损伤本构模型参数及其工程应用[J]. 浙江大学学报(工学版), 2015,49(3): 547-554, 563.(QI Hu, LI Yun-gui, L Xi-lin. Study of variables of elastic plastic damage model and its engineering application[J]. Journal of Zhejiang University (Engineering Science),2015,49(3): 547-554, 563.(in Chinese))
[4]	范向前, 胡少伟, 陆俊, 等. 混凝土静动态轴向拉伸力学性能[J]. 硅酸盐学报, 2014,42(11): 1349-1354.(FAN Xiang-qian, HU Shao-wei, LU Jun, et al. Static and dynamic axial tension properties of concrete[J]. Journal of the Chinese Ceramic Society,2014,42(11): 1349-1354.(in Chinese))
[5]	陈书宇, 沈成康, 金吾根. 有限变形下的混凝土动态本构关系研究[J]. 应用数学和力学, 2004,25(12): 1257-1263.(CHEN Shu-yu, SHEN Cheng-kang, JIN Wu-gen. Study on dynamic constitutive relations for concrete with finite deformation[J]. Applied Mathematics and Mechanics,2004,25(12): 1257-1263.(in Chinese))
[6]	刘长春, 吕和祥, 关萍. 混凝土材料的粘塑性损伤本构模型[J]. 应用数学和力学, 2007,28(9): 1021-1027.(LIU Chang-chun, L He-xiang, GUAN Ping. Coupled viscoplasticity damage constitutive model for concrete materials[J]. Applied Mathematics and Mechanics,2007,28(9): 1021-1027.(in Chinese))
[7]	任中俊, 彭向和, 胡宁, 等. 三轴压缩下岩石/混凝土的三维细观损伤模型[J]. 应用数学和力学, 2009,30(3): 309-317.(REN Zhong-jun, PENG Xiang-he, HU Ning, et al. Micromechanical damage model for rocks and concretes under triaxial compression[J]. Applied Mathematics and Mechanics,2009,30(3): 309-317.(in Chinese))
[8]	Kandarpa S, Kirkner D J, Spencer Jr B F. Stochastic damage model for brittle materials subjected to monotonic loading[J]. Journal of Engineering Mechanics,1996,122(8): 788-795.
[9]	李杰, 张其云. 混凝土随机损伤本构关系[J]. 同济大学学报(自然科学版), 2001,29(10): 1135-1141.(LI Jie, ZHANG Qi-yun. Study of stochastic damage constitutive relationship for concrete material[J]. Journal of Tongji University (Natural Science),2001,29(10): 1135-1141.(in Chinese))
[10]	李杰, 卢朝辉, 张其云. 混凝土随机损伤本构关系——单轴受压分析[J]. 同济大学学报(自然科学版), 2003,31(5): 505-509.(LI Jie, LU Zhao-hui, ZHANG Qi-yun. Study on stochastic damage constitutive law for concrete material subjected to uniaxial compressive stress[J]. Journal of Tongji University (Natural Science),2003,31(5): 505-509.(in Chinese))
[11]	曾莎洁. 混凝土随机损伤本构模型与试验研究[D]. 博士学位论文. 上海: 同济大学, 2012.(ZENG Sha-jie. Dynamic experimental research and stochastic damage constitutive model for concrete[D]. PhD Thesis. Shanghai: Tongji University, 2012.(in Chinese))
[12]	过镇海, 王传志. 多轴应力下混凝土的强度和破坏准则研究[J]. 土木工程学报, 1991,24(3): 1-14.(GUO Zhen-hai, WANG Chuan-zhi. Investigation of strength and failure criterion of concrete under multi-axial stresses[J]. China Civil Engineering Journal,1991,24(3): 1-14.(in Chinese))
[13]	Hsieh S S, Ting E C, Chen W F. A plastic-fracture model for concrete[J]. International Journal of Solids and Structures,1982,10(3): 181-197.
[14]	Pietruszczak S, Jiang J, Mirza F A. An elastoplastic constitutive model for concrete[J]. International Journal of Solids and Structures,1988,24(7): 705-722.
[15]	过镇海, 张秀琴. 砼受拉应力-变形全曲线的试验研究[J]. 建筑结构学报, 1988,9(4): 45-53.(GUO Zhen-hai, ZHANG Xiu-qin. Experimental investigation of complete stress-deformation curves of concrete in tension[J]. Journal of Building Structures,1988,9(4): 45-53.(in Chinese))
[16]	张明, 李仲奎, 杨强, 等. 准脆性材料声发射的损伤模型及统计分析[J]. 岩石力学与工程学报, 2006,25(12): 2493-2501.(ZHANG Ming, LI Zhong-kui, YANG Qiang, et al. A damage model and statistical analysis of acoustic emission for quasi-brittle materials[J]. Chinese Journal of Rock Mechanics and Engineering,2006,25(12): 2493-2501.(in Chinese))
[17]	中华人民共和国水利部. 水工混凝土试验规程: SL 352—2006[S]. 北京: 中国水利水电出版社, 2006.(The Ministry of Water Resources of the People’s Republic of China. Test code for hydraulic concrete: SL 352—2006[S]. Beijing: China Water & Power Press, 2006.(in Chinese))