LI Tianyi, ZHANG Qing, XIA Xiaozhou, GU Xin. A Peridynamic Model for Heterogeneous Concrete Materials[J]. Applied Mathematics and Mechanics, 2018, 39(8): 913-924. doi: 10.21656/1000-0887.380274
Citation: LI Tianyi, ZHANG Qing, XIA Xiaozhou, GU Xin. A Peridynamic Model for Heterogeneous Concrete Materials[J]. Applied Mathematics and Mechanics, 2018, 39(8): 913-924. doi: 10.21656/1000-0887.380274

A Peridynamic Model for Heterogeneous Concrete Materials

doi: 10.21656/1000-0887.380274
Funds:  The National Natural Science Foundation of China(11672101;11372099)
  • Received Date: 2017-10-31
  • Rev Recd Date: 2018-06-08
  • Publish Date: 2018-08-15
  • The classical continuum mechanics and some related numerical methods often fail in analysis of the damage evolution and progressive failure process of concrete materials, due to the difficulties in handling discontinuity and considering the intrinsic microstructure, which is of significance to the damage evolution. A peridynamic concrete model in view of the heterogeneity was established. The digital image processing (DIP) technology was firstly adopted to extract the information of aggregate shape and distribution in a concrete specimen, and then the bondbased peridynamic model reflecting 3 different bonds was applied to analyze the tension and compression failure of standard concrete specimens. The proposed analysis tool was further developed with the FORTRAN language in the framework of ABAQUS. The numerical results are in good agreement with reported experimental data, indicating that the proposed peridynamic model for heterogeneous concrete can simulate the complex failure process of concrete well, and paves a way to further exploration of the failure mechanism of concrete materials.
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  • [1]
    KIM S M, AL-RUB R K A. Meso-scale computational modeling of the plastic-damage response of cementitious composites[J]. Cement & Concrete Research,2011,41(3): 339-358.
    [2]
    WANG X, YANG Z, JIVKOV A P. Monte Carlo simulations of mesoscale fracture of concrete with random aggregates and pores: a size effect study[J]. Construction & Building Materials,2015,80: 262-272.
    [3]
    HAERI H, SARFARAZI V. The effect of micro pore on the characteristics of crack tip plastic zone in concrete[J]. Computers & Concrete,2016,17(1): 107-127.
    [4]
    YAGHOOBI A, MI G C, KIM S S, et al. Mesoscale fracture analysis of multiphase cementitious composites using peridynamics[J]. Materials,2017,10(2): 162-1-162-21.
    [5]
    WANG X F, YANG Z J, YATES J R, et al. Monte Carlo simulations of mesoscale fracture modelling of concrete with random aggregates and pores[J]. Construction & Building Materials,2015,75: 35-45.
    [6]
    LOPEZ C M, CAROL I, AGUADO A. Meso-structural study of concrete fracture using interface elements I: numerical model and tensile behavior[J]. Materials & Structures,2008,41(3): 583-599.
    [7]
    UNGER J F, ECKARDT S, KNKE C. Modelling of cohesive crack growth in concrete structures with the extended finite element method[J]. Computer Methods in Applied Mechanics & Engineering,2007,196(41): 4087-4100.
    [8]
    夏晓舟. 混凝土细观数值仿真及宏细观力学研究[D]. 博士学位论文. 南京: 河海大学, 2007.(XIA Xiaozhou. The meso numerical simulation and the macro-meso mechanics research for concrete material[D]. PhD Thesis. Nanjing: Hohai University, 2007.(in Chinese))
    [9]
    夏晓舟, 章青. 含两类附加函数的扩展等参有限元法[J]. 计算力学学报, 2008,25(1): 41-47.(XIA Xiaozhou, ZHANG Qing. Extended isoparametric finite element method including two class of enrichment functions[J]. Chinese Journal of Computational Mechanics,2008,25(1): 41-47.(in Chinese))
    [10]
    SAGERESAN N, DRATHI R. Crack propagation in concrete using meshless method[J]. Cmes Computer Modeling in Engineering & Ences,2008,32(2): 103-112.
    [11]
    SILLING S A. Reformulation of elasticity theory for discontinuities and long-range forces[J]. Journal of the Mechanics and Physics of Solids,2000,48(1): 175-209.
    [12]
    黄丹, 章青, 乔丕忠. 近场动力学方法及其应用[J]. 力学进展, 2010,40(4): 448-459.(HUANG Dan, ZHANG Qing, QIAO Pizhong. A review on peridynamics(PD) method and its applications[J]. Advances in Mechanics,2010,40(4): 448-459.(in Chinese))
    [13]
    DEMMIE P. An approach to modeling extreme loading of structures usingperidynamics[J]. Journal of Mechanics of Materials & Structures,2006,2(10): 1921-1945.
    [14]
    DEMMIE P N, PREECE D S, SILLING S A. Warhead fragmentation modeling withperidynamics[R]. Sandia National Laboratories (SNL-NM), Albuquerque, NM,USA, 2007.
    [15]
    GERSTLE W H, SAU N. Peridynamic modeling of concrete structures[C]// IA-FRAMCoS V. Albuquerque, New Mexico, USA, 2004.
    [16]
    SILLING S A, GERSTLE W H, SAU N. Peridynamic modeling of plain and reinforced concrete structures[C]// International Conference on Structural Mechanics in Reactor Technology.Beijing, China, 2005.
    [17]
    GERSTLE W, SAU N, SILLING S. Peridynamic modeling of concrete structures[J]. Nuclear Engineering & Design,2007,237(12): 1250-1258.
    [18]
    GERSTLE W, SAU N, AGUILERA E. Micropolar peridynamic constitutive model for concrete[C]// Transactions, SMiRT 19.Toronto, Ontario, Canada, 2007.
    [19]
    SAU N. Peridynamic modeling of quasibrittle structures[D]. PhD Thesis. Albuquerque: University of New Mexico, 2008.
    [20]
    SAKHAVAND N. Parallel simulation of reinforced concretesructures using peridynamics[D]. Master Thesis. Albuquerque: University of New Mexico, 2011.
    [21]
    RAHMAN A S M. Lattice-based peridynamic modeling of linear elastic solids[D]. Master Thesis. Albuquerque: University of New Mexico, 2012.
    [22]
    HONARVAR H. Parallel simulation of particle dynamics with application to micropolar peridynamic lattice modeling of reinforced concrete structures[D]. Master Thesis. Albuquerque: University of New Mexico, 2013.
    [23]
    GERSTLE W, GEITANBAF H H, ASADOLLAHI A. Computational simulation of reinforced concrete using the micropolar peridynamic lattice model[C]//8th International Conference on Fracture Mechanics of Concrete and Concrete structures.Barcelona, Spain, 2013: 261-270.
    [24]
    沈峰. 混凝土材料和结构损伤破坏的近场动力学模拟[D]. 博士学位论文. 南京: 河海大学, 2014.(SHEN Feng. Damage and failure modeling of concrete material and structures using peridynamics theory[D]. PhD Thesis. Nanjing: Hohai University, 2014.(in Chinese))
    [25]
    顾鑫, 章青, 黄丹. 基于近场动力学方法的混凝土板侵彻问题研究[J]. 振动与冲击, 2016,35(6): 52-58.(GU Xin, ZHANG Qing, HUANG Dan. Peridynamics used in solving penetration problem of concrete slabs[J]. Journal of Vibration and Shock,2016,35(6): 52-58.(in Chinese))
    [26]
    SILLING S A. Reformulation of elasticity theory for discontinuities and long-range forces[J]. Journal of the Mechanics & Physics of Solids,2000,48(1): 175-209.
    [27]
    郁杨天, 章青, 顾鑫. 近场动力学与有限单元法的混合模型与隐式求解格式[J]. 浙江大学学报(工学版), 2017,51(7): 1324-1330.(YU Yangtian, ZHANG Qing, GU Xin. Hybrid model of peridynamics and finite element method under implicit schemes[J]. Journal of Zhejiang University(Engineering Science),2017,51(7): 1324-1330.(in Chinese))
    [28]
    SILLING S A, ASKARI E. Ameshfree method based on the peridynamic model of solid mechanics[J]. Computers &Structures,2005,83(17/18): 1526-1535.
    [29]
    马怀发, 陈厚群, 黎保琨. 混凝土试件细观结构的数值模拟[J]. 水利学报, 2004,35(10): 27-35.(MA Huaifa, CHEN Houqun, LI Baokun. Meso-structure numerical simulation of concrete specimens[J]. Journal of Hydraulic Engineering,2004,〖STHZ〗 35(10): 27-35.(in Chinese))
    [30]
    闫东明. 混凝土动态力学性能试验与理论研究[D]. 博士学位论文. 大连: 大连理工大学, 2006.(YAN Dongming. Experiment and theoretical study on the dynamic properties of concrete [D]. PhD Thesis. Dalian: Dalian University of Technology, 2006.(in Chinese))
    [31]
    吴锋. 混凝土单轴抗拉应力-应变全曲线的试验研究[D]. 硕士学位论文. 长沙: 湖南大学, 2006.(WU Feng. Experimental study on whole stress-strain curves of concrete under axial tension[D]. Master Thesis. Changsha: Hunan University, 2006.(in Chinese))
    [32]
    吴纹达. 基于数字图像处理的混凝土非线性多尺度有限元分析[D]. 硕士学位论文. 南京: 河海大学, 2015.(WU Wenda. Multi-scale finite element analysis for concrete nonlinear properties based on digital image processing[D]. Master Thesis. Nanjing: Hohai University, 2015.(in Chinese))
    [33]
    金浏. 细观混凝土分析模型与方法研究[D]. 博士学位论文. 北京: 北京工业大学, 2014.(JIN Liu. Study on meso-scopic model and analysis method of concrete[D]. PhD Thesis. Beijing: Beijing University of Technology, 2014.(in Chinese))
    [34]
    卢广达, 夏晓舟. 近场动力学Peri_Dynamics软件(简称Peri_Dynamics V1.0): 2016SR030649[P]. 2016.(LU Guangda, XIA Xiaozhou. Peridynamics software (Peri_Dynamics V1.0): 2016SR030649[P]. 2016.(in Chinese))
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