PERIDYNAMIC METHOD FOR THE INTERFACE IN THE REINFORCED CONCRETE

Lu Dechun; Gao Yixin; Wang Guosheng; Song Zhiqiang; Du Xiuli

doi:10.6052/0459-1879-22-470

Volume 55 Issue 2

Feb. 2023

Turn off MathJax

Article Contents

Article Navigation > Chinese Journal of Theoretical and Applied Mechanics > 2023 > 55(2): 403-416

Lu Dechun, Gao Yixin, Wang Guosheng, Song Zhiqiang, Du Xiuli. Peridynamic method for the interface in the reinforced concrete. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(2): 403-416 doi: 10.6052/0459-1879-22-470

Citation:

Lu Dechun, Gao Yixin, Wang Guosheng, Song Zhiqiang, Du Xiuli. Peridynamic method for the interface in the reinforced concrete. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(2): 403-416 doi: 10.6052/0459-1879-22-470

Citation:

PDF( 4182 KB)

PERIDYNAMIC METHOD FOR THE INTERFACE IN THE REINFORCED CONCRETE

doi: 10.6052/0459-1879-22-470

Geotechnical and Underground Engineering Research Institute, Beijing University of Technology, Beijing 100124, China

Received Date: 2022-10-03
Accepted Date: 2023-01-13

Available Online: 2023-01-13

Publish Date: 2023-02-18

Abstract

Abstract

The peridynamic (PD) method has been widely used to study the cracking and failure of reinforced concrete structures. The control equations and material parameters of the traditional PD method are determined based on the energy equation of homogeneous materials. When dealing with the interaction between different materials, the mechanical behavior of their interfaces cannot be reasonably reflected in the traditional PD method. In order to solve this problem, the interaction model of material points in the interface region of the PD method is proposed by analyzing the bond-slip mechanism of the interface of reinforced concrete. Then the bond-based PD method considering the interface bond of reinforced concrete is developed based on the proposed interaction model. Based on the energy density equivalent principle of the bond-based PD and continuum mechanics, the method to determine the interface micro elastic parameters of the PD is proposed. According to the stress distribution law of concrete between steel ribs, the equivalent relationship between the point radius of interface material and the radius of restricted wedge is obtained. Based on the slip deformation corresponding to the peak stress of the interfacial bond slip curve, a method for determining the critical tensile constant of the interface is presented. So far, the PD method for the interface in the reinforced concrete has been established. By comparing with the pull-out test of two groups of reinforced concrete members, the developed interface PD method of the reinforced concrete is verified, and numerical tests of reinforced concrete members under different conditions are carried out. The results show that the developed PD can reasonably reflect the influence of rebar diameter, anchorage length, concrete strength and rib spacing on the bond behavior of reinforced concrete interface, which well reflects the rationality and superiority of the proposed method, which reflects the rationality and superiority of the proposed method.
- peridynamic,
- reinforced concrete,
- material interface,
- bond action,
- failure analysis

FullText(HTML)

References(61)

References

[1]	Cotsovos DM, Stathopoulos ND, Zeris CA. Behavior of RC beams subjected to high rates of concentrated loading. Journal of Structural Engineering, 2008, 134(12): 1839-1851
[2]	Liao WZ, Li M, Zhang W, et al. Experimental studies and numerical simulation of behavior of RC beams retrofitted with HSSWM-HPM under impact loading. Engineering Structures, 2017, 149: 131-146
[3]	Brennan RE, Green WH. Low velocity impact testing and nondestructive evaluation of transparent materials. AIP Conference Proceedings. American Institute of Physics, 2011, 1335(1): 965-972
[4]	Chen Y, May IM. Reinforced concrete members under drop-weight impacts. Proceedings of the Institution of Civil Engineers-Structures and Buildings, 2009, 162(1): 45-56
[5]	曾翔, 许斌. 无腹筋钢筋混凝土梁抗冲击行为试验研究. 土木工程学报, 2012, 45(9): 63-73 Zeng Xiang, Xu Bin. Experimental study on the impact-resistant behavior of RC beams without shear-resistant rebar. China Civil Engineering Journal, 2012, 45(9): 63-73 (in Chinese)
[6]	Han F, Lubineau G, Azdoud Y. Adaptive coupling between damage mechanics and peridynamics: A route for objective simulation of material degradation up to complete failure. Journal of the Mechanics and Physics of Solids, 2016, 94: 453-472
[7]	Ren HL, Zhuang XY, Rabczuk T. A new peridynamic formulation with shear deformation for elastic solid. Journal of Micromechanics and Molecular Physics, 2016, 1(2): 1650009
[8]	Amani J, Oterkus E, Areias P, et al. A non-ordinary state-based peridynamics formulation for thermoplastic fracture. International Journal of Impact Engineering, 2016, 87: 83-94
[9]	Rabczuk T, Ren HL, Zhuang XY, et al. A peridynamics formulation for quasi-static fracture and contact in rock. Engineering Geology, 2017, 225: 42-48
[10]	Ren HL, Zhuang XY, Anitescu C, et al. An explicit phase field method for brittle dynamic fracture. Computers & Structures, 2019, 217: 45-56
[11]	Zhang YA, Deng HW, Deng JR, et al. Peridynamic simulation of crack propagation of non-homogeneous brittle rock-like materials. Theoretical and Applied Fracture Mechanics, 2020, 106: 102438
[12]	Wang YW, Han F, Lubineau G. Strength-induced peridynamic modeling and simulation of fractures in brittle materials. Computer Methods in Applied Mechanics and Engineering, 2021, 374: 113558
[13]	Yu HT, Chen XZ. A viscoelastic micropolar peridynamic model for quasi-brittle materials incorporating loading-rate effects. Computer Methods in Applied Mechanics and Engineering, 2021, 383: 113897
[14]	路德春, 宋志强, 王国盛. 基于混凝土黏弹性变形机制的近场动力学方法. 同济大学学报(自然科学版), 2022, 50(9): 1232-1239 Lu Dechun, Song Zhiqiang, Wang Guosheng. Peridynamics method based on viscoelastic deformation mechanism of concrete. Journal of Tongji University (Natural Science), 2022, 50(9): 1232-1239 (in Chinese))
[15]	Silling SA. Reformulation of elasticity theory for discontinuities and long-range forces. Journal of the Mechanics and Physics of Solids. 2000, 48(1): 175-209
[16]	Silling SA, Askari E. A meshfree method based on the peridynamic model of solid mechanics. Computers & Structures, 2005, 83(17-18): 1526-1535
[17]	Silling SA, Lehoucq RB. Peridynamic theory of solid mechanics. Advances in Applied Mechanics, 2010, 44: 73-168
[18]	Silling SA, Weckner O, Askari E, et al. Crack nucleation in a peridynamic solid. International Journal of Fracture, 2010, 162(1): 219-227
[19]	黄丹, 章青, 乔丕忠等. 近场动力学方法及其应用. 力学进展, 2010, 40(4): 448-459 Huang Dan, Zhang Qing, Qiao Pizhong, et al. A review of peridynamics (PD) method and its applications. Advances in Mechanics, 2010, 40(4): 448-459 (in Chinese)
[20]	Lu DC, Song ZQ, Wang GS, et al. A developed 3 D peridynamic method incorporating non-conservative force for brittle materials. Engineering Fracture Mechanics, 2022, 274: 108772
[21]	Ren B, Wu CT, Askari E. A 3D discontinuous Galerkin finite element method with the bond-based peridynamics model for dynamic brittle failure analysis. International Journal of Impact Engineering, 2017, 99: 14-25
[22]	Liu YK, Deng L, Zhong WJ, et al. A new fatigue reliability analysis method for steel bridges based on peridynamic theory. Engineering Fracture Mechanics, 2020, 236: 107214
[23]	Hong K, Oterkus S, Oterkus E. Peridynamic analysis of fatigue crack growth in fillet welded joints. Ocean Engineering, 2021, 235: 109348
[24]	Wu P, Yang F, Chen ZG, et al. Stochastically homogenized peridynamic model for dynamic fracture analysis of concrete. Engineering Fracture Mechanics, 2021, 253: 107863
[25]	Ran X, Qian SR, Zhou J, et al. Crack propagation analysis of hydrogen embrittlement based on peridynamics. International Journal of Hydrogen Energy, 2022, 47(14): 9045-9057
[26]	Gerstle W, Sau N, Silling S. Peridynamic modeling of concrete structures. Nuclear Engineering and Design, 2007, 237(12-13): 1250-1258
[27]	Lu JZ, Zhang YT, Muhammad H, et al. 3D analysis of anchor bolt pullout in concrete materials using the non-ordinary state-based peridynamics. Engineering Fracture Mechanics, 2019, 207: 68-85
[28]	Sau N, Medina-Mendoza J, Borbon-Almada AC. Peridynamic modelling of reinforced concrete structures. Engineering Failure Analysis, 2019, 103: 266-274
[29]	Zhao JM, Chen ZG, Mehrmashhadi J, et al. A stochastic multiscale peridynamic model for corrosion-induced fracture in reinforced concrete. Engineering Fracture Mechanics, 2020, 229: 106969
[30]	夏益兵, 范存新, 沈峰等. 钢筋混凝土结构破坏过程的近场动力学模拟. 应用力学学报, 2021, 38(1): 143-149 Xia Yibing, Fan Cunxin, Shen Feng, et al. Simulating the failure process of reinforced concrete structure by using peridynamics. Chinese Journal of Applied Mechanics, 2021, 38(1): 143-149 (in Chinese))
[31]	Hobbs M, Hattori G, Orr J. Predicting shear failure in reinforced concrete members using a three-dimensional peridynamic framework. Computers & Structures, 2022, 258: 106682
[32]	Zheng J, Shen F, Gu X, et al. Simulating failure behavior of reinforced concrete T-beam under impact loading by using peridynamics. International Journal of Impact Engineering, 2022, 165: 104231
[33]	石宏顺, 钱松荣, 徐婷等. 近场动力学理论在钢筋混凝土结构破坏的研究. 贵州科学, 2016, 34(6): 64-68 Shi Hongshun, Qian Songrong, Xu Ting, et al. Study on reinforced concrete structure failure based on peridynamic theories. Guizhou Science, 2016, 34(6): 64-68 (in Chinese)
[34]	Zhang H, Zhang X. Peridynamic analysis of materials interface fracture with thermal effect. Theoretical and Applied Fracture Mechanics, 2022, 120: 103420
[35]	Zhang N, Gu Q, Huang SR, et al. A practical bond-based peridynamic modeling of reinforced concrete structures. Engineering Structures, 2021, 244: 112748
[36]	Zhang Y, Qiao PZ. Peridynamic simulation of two-dimensional axisymmetric pull-out tests. International Journal of Solids and Structures, 2019, 168: 41-57
[37]	Popov VL. Contact Mechanics and Friction. Berlin: Springer, 2010
[38]	Xu C, Yuan Y, Zhang YM, et al. Peridynamic modeling of prefabricated beams post-cast with steelfiber reinforced high-strength concrete. Structural Concrete, 2021, 22(1): 445-456
[39]	Tepfers R. Cracking of concrete cover along anchored deformed reinforcing bars. Magazine of Concrete Research, 1979, 31(106): 3-12
[40]	Ruiz D. Bond mechanics in structural concrete. [PhD Thesis]. Lausanne: Ecole Polytechnique Fédérale de Lausanne, 2005
[41]	宋玉普, 赵国藩. 钢筋与混凝土间的粘结滑移性能研究. 大连工学院学报, 1987, 26(2): 93-100 (Song Yupu, Zhao Guofan. Study on bond- slip property between steel bars and the concrete. Journal of Dalian Institute of Technology, 1987, 26(2): 93-100 (in Chinese)
[42]	Shima H, Chou LL, Okamura H. Micro and macro models for bond in reinforced concrete. Journal of the Faculty of Engineering, 1987, 39(2): 133-194
[43]	徐有邻, 沈文都, 汪洪. 钢筋砼粘结锚固性能的试验研究. 建筑结构学报, 1994, 15(3): 26-37 Xu Youli, Shen Wendu, Wang Hong. An experimental study of bond-anchorage properties of bars in concrete. Journal of Building Structures, 1994, 15(3): 26-37 (in Chinese)
[44]	Harajli MH, Hout M, Jalkh W. Local bond stress-slip behavior of reinforcing bars embedded in plain and fiber concrete. Materials Journal, 1995, 92(4): 343-353
[45]	Yan F, Lin ZB, Yang MJ. Bond mechanism and bond strength of GFRP bars to concrete: A review. Composites Part B: Engineering, 2016, 98: 56-69
[46]	Hu ZJ, Shah YI, Yao PF. Experimental and numerical study on interface bond strength and anchorage performance of steel bars within prefabricated concrete. Materials, 2021, 14(13): 3713 doi: 10.3390/ma14133713
[47]	Madenci E, Oterkus E. Peridynamic Theory and Its Applications. New York: Springer, 2014
[48]	Ren HL, Zhuang XY, Cai YC, et al. Dual-horizon peridynamics. International Journal for Numerical Methods in Engineering, 2016, 108(12): 1451-1476
[49]	Ren HL, Zhuang XY, Rabczuk T. Dual-horizon peridynamics: A stable solution to varying horizons. Computer Methods in Applied Mechanics and Engineering, 2017, 318: 762-782
[50]	Ren HL, Zhuang XY, Oterkus E, et al. Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase-field fracture by nonlocal operator method. Engineering with Computers, 2021: 1-22
[51]	Zhu Q, Ni T. Peridynamic formulations enriched with bond rotation effects. International Journal of Engineering Science, 2017, 121: 118-129
[52]	Wang YT, Zhou XP, Shou YD. The modeling of crack propagation and coalescence in rocks under uniaxial compression using the novel conjugated bond-based peridynamics. International Journal of Mechanical Sciences, 2017, 128: 614-643
[53]	Zhang H, Zhang X, Qiao PZ. A new peridynamic mixed-mode bond failure model for interface delamination and homogeneous materials fracture analysis. Computer Methods in Applied Mechanics and Engineering, 2021, 379: 113728
[54]	Madenci E, Barut A, Phan N. Bond-based peridynamics with stretch and rotation kinematics for opening and shearing modes of fracture. Journal of Peridynamics and Nonlocal Modeling, 2021, 3(3): 211-254
[55]	Kachanov M, Sevostianov I. On quantitative characterization of microstructures and effective properties. International Journal of Solids and Structures, 2005, 42(2): 309-336 doi: 10.1016/j.ijsolstr.2004.06.016
[56]	夏晋. 锈蚀钢筋混凝土构件力学性能研究. [博士论文]. 杭州: 浙江大学, 2010 Xia Jin. Study on mechanical properties of corroded reinforced concrete members. [PhD Thesis]. Hangzhou: Zhejiang University, 2010 (in Chinese)
[57]	陈佳浩, 涂建维, 李召等. 不同加载速率下GFRP筋与混凝土粘结性能研究. 武汉理工大学学报, 2022, 44(2): 53-59, 77 Chen Jiahao, Tu Jianwei, Li Zhao, et al. Study on bonding properties of GFRP bars and concrete under different loading rates. Journal of Wuhan University of Technology, 2022, 44(2): 53-59, 77 (in Chinese)
[58]	冀晓东. 冻融后混凝土力学性能及钢筋混凝土粘结性能的研究. [博士论文]. 大连: 大连理工大学, 2007 Ji Xiaodong. The experimental study and theoretical analysis on the mechanical performance of concrete and bond behaviour between concrete and steel bar after freezing and thawing. [PhD Thesis]. Dalian: Dalian University of Technology, 2007 (in Chinese))
[59]	徐有邻, 邵卓民, 沈文都. 钢筋与混凝土的粘结锚固强度. 建筑科学, 1988, 4(4): 8 Xu Youlin, Shao Zhuoming, Shen Wendu. Bond strength between reinforcing bars and concrete. Building Science, 1988, 4(4): 8 (in Chinese))
[60]	Harajli MH. Development/splice strength of reinforcing bars embedded in plain and fiber reinforced concrete. Structural Journal, 1994, 91(5): 511-520
[61]	郝庆多, 王言磊, 欧进萍. 拉拔条件下GFRP筋与混凝土粘结强度试验研究. 建筑结构学报, 2008, 29(1): 9 Hao Qingduo, Wang Yanlei, Ou Jinping. Experimental investigation on bond strength between GFRP rebars and concrete under pull out conditions. Journal of Building Structures, 2008, 29(1): 9 (in Chinese)