Dynamic damage constitutive relationship of high strength concrete based on fractal theory
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摘要: 基于高强混凝土（HSC）试块在SHPB冲击实验中的分形损伤演化规律，推导了HSC的分形损伤变量表达式，标定了HSC裂纹的分形维数范围。然后参考ZWT模型，并结合HSC实验过程中的应变率相关性、动态损伤特性及近似恒应变率，推导了分形损伤演化的HSC动态损伤本构方程。采用4组应变率工况下的C60、C80混凝土应力-应变曲线对本构方程进行验证，理论曲线和实验曲线吻合较好。Abstract: Based on the fractal damage evolution law of high strength concrete (HSC) specimen by the SHPB impact test, we deduced the patterns of the fractal damage variables of HSC, and calibrated the fractal dimension range of the HSC cracks. Then following the ZWT model, and in combination with the strain rate dependence, dynamic damage characteristic and quasi-constant strain rate, we obtained the HSC dynamic damage constitutive equation with the fractal damage evolution taken into account Finall. Our study verified the effectiveness of the constitutive equation by C60 and C80 stress-strain curves at four different strain ratios, and the theoretical curves matched well with the experimental ones.
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Key words:
- fractal theory /
- high strength concrete /
- SHPB /
- dynamic damage /
- constitutive relationship
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图 3 HSC试块承载面裂纹分布的显微观测
Figure 3. Microscopic observation of crack distributed on bearing surface of HSC specimen
图 4 C60级HSC实测曲线与理论曲线
Figure 4. Stress-strain curves of C60 HSC obtained by experiment and theory
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[1] 焦楚杰. 高与超高性能钢纤维砼抗冲击与抗爆研究[D]. 南京: 东南大学, 2004.JIAO Chujie. Study on behaviour of HPSFRC and UHPSFRC subjected to impact and blast[D]. Nanjing: Southeast University, 2004. [2] ERDEM S, BLANKSON M A. Fractal-fracture analysis and characterization of impact-fractured surfaces in different types of concrete using digital image analysis and 3D nanomap laser profilometery[J]. Construction and Building Materials, 2013, 40(40):70-76. https://www.deepdyve.com/lp/elsevier/fractal-fracture-analysis-and-characterization-of-impact-fractured-FPwI5tnsP5 [3] SAGAR R V, PRASAD B K R. Fracture analysis of concrete using singular fractal functions with lattice beam network and confirmation with acoustic emission study[J]. Theoretical & Applied Fracture Mechanics, 2011, 55(3):192-205. https://www.researchgate.net/publication/236945027_Fracture_analysis_of_concrete_using_singular_fractal_functions_with_lattice_beam_network_and_confirmation_with_Acoustic_Emission_study [4] CARPINTERI A, LACIDOGNA G, NICCOLINI G. Fractal analysis of damage detected in concrete structural elements under loading[J]. Chaos Solitons & Fractals, 2009, 42(4):2047-2056. http://www.sciencedirect.com/science/article/pii/S0960077909003142 [5] 李习波. 混杂纤维高强混凝土动态损伤本构关系[D]. 广州: 广州大学, 2015. http://cdmd.cnki.com.cn/Article/CDMD-11078-1015648664.htmLI Xibo. Dynamic damage constitutive relationship of hybrid fiber reinforced high strength concrete[D]. Guangzhou: Guangzhou University, 2015. http://cdmd.cnki.com.cn/Article/CDMD-11078-1015648664.htm [6] BAZANT Z P, PFEIFFER P A. determination of fracture energy from size effect and brittleness number[J]. ACI Materials Journal, 1987, 84(6):463-480. doi: 10.1023%2FA%3A1007387823522 [7] MANDELBROT B B, PASSOJA D E, PAULLAY A J. Fractal Character of Fracture Surfaces of Metal[J]. Nature, 1984, 308(5961):721-722. doi: 10.1038/308721a0 [8] 谢和平, 鞠杨.混凝土微细观损伤断裂的分形行为[J].煤炭学报, 1997, 22(6):586-590. http://www.cqvip.com/QK/96550X/199706/2710785.htmlXIE Heping, JU Yang. Fractal characteristics of meso/micro damage and fracture of concrete[J].Journal of China Coal Society, 1997, 22(6):586-590. http://www.cqvip.com/QK/96550X/199706/2710785.html [9] BORODICH F M. Some fractal models of fracture[J]. Journal of the Mechanics & Physics of Solids, 1997, 45(2):239-259. doi: 10.1007%2Fs10704-006-8264-x [10] 谢和平.分形—岩石力学导论[M].北京:科学出版社.1997:2-15, 168-170. [11] LEMAITRE J, CHABOCHE J L. Mechanics of solid materials[M]. Cambridge: Cambridge University Press, 1990:511-520. [12] 谢和平.鞠杨.分数维在空间中的损伤力学研究初探[J].力学学报, 1999, 31(3):300-310. http://www.cnki.com.cn/Article/CJFDTOTAL-YSLX200901019.htmXIE Heping, JU Yang. A study of damage mechanics theory in factional dimensional space[J]. Chinese Journal of Theoretical and Applied Mechanics, 1999, 31(3):300-310. http://www.cnki.com.cn/Article/CJFDTOTAL-YSLX200901019.htm [13] 唐志平, 田兰桥, 朱兆祥, 等. 高应变率下环氧树脂的力学性能研究[C]//第二届全国爆炸力学学术会议论文集(第三册). 江苏扬州, 1981. [14] JIAO Chujie, SUN Wei. Impact resistance of reactive powder concrete [J]. Journal of Wuhan University of Technology (Materials Science Edition), 2015, 30(4):752-757 doi: 10.1007/s11595-015-1223-5 -
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