Lü Cong-cong, LI Zong-li. An Elastoplastic Damage Constitutive Model for Concrete Considering Unilateral Effects[J]. Applied Mathematics and Mechanics, 2017, 38(2): 144-152. doi: 10.21656/1000-0887.370278
Citation: Lü Cong-cong, LI Zong-li. An Elastoplastic Damage Constitutive Model for Concrete Considering Unilateral Effects[J]. Applied Mathematics and Mechanics, 2017, 38(2): 144-152. doi: 10.21656/1000-0887.370278

An Elastoplastic Damage Constitutive Model for Concrete Considering Unilateral Effects

doi: 10.21656/1000-0887.370278
Funds:  The National Natural Science Foundation of China(General Program)(51379178)
  • Received Date: 2016-09-12
  • Rev Recd Date: 2016-09-29
  • Publish Date: 2017-02-15
  • In order to describe the nonlinear mechanical properties of concrete effectively and accurately, a new elastoplastic damage constitutive model for concrete was established with the explicit integration algorithm, under the theoretical framework of continuum damage mechanics and irreversible thermodynamics. First, a yield failure criterion based on the unified strength theory was employed for this model, and then 2 scalar damage variables were introduced to better describe the quite different tensile and compressive mechanisms of concrete, respectively. Besides, the influence factors of reverse loading were adopted in view of the unilateral effects under alternating cyclic loading conditions and the interaction effects of tension and compression damages in the multiaxial stress state. Several numerical simulations were presented, and good agreement was achieved between the numerical results and the test results for concrete specimens under uniaxial loading, multiaxial loading and alternating cyclic loading, which verifies the validity and accuracy of the proposed model.
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  • [1]
    Mazars J. A description of micro- and macroscale damage of concrete structures[J]. Engineering Fracture Mechanics,1986,25(5/6): 729-737.
    Lubliner J, Oliver J, Oller S, et al. A plastic-damage model for concrete[J]. International Journal of Solids and Structures,1989,25(3): 299-326.
    Mazars J, Pijaudier-Cabot G. From damage to fracture mechanics and conversely: a combined approach[J]. International Journal of Solids and Structures,1996,33(20): 3327-3342.
    Ju J W. On energy-based coupled elastoplastic damage theories: constitutive modeling and computational aspects[J]. International Journal of Solids Structures,1989,25(7): 803-833.
    李杰, 吴建营, 陈建兵. 混凝土随机损伤力学[M]. 北京: 科学出版社, 2014.(LI Jie, WU Jian-ying, CHEN Jian-bing. Stochastic Damage Mechanics of Concrete Structures [M]. Beijing: Science Press, 2014.(in Chinese))
    杜荣强, 林皋. 混凝土弹塑性多轴损伤模型及其应用[J]. 大连理工大学学报, 2007,47(4): 567-572.(DU Rong-qiang, LIN Gao. A multiaxial anisotropic elstoplastic damage model for concrete and its application[J]. Journal of Dalian University of Technology,2007,47(4): 567-572.(in Chinese))
    郑颖人, 孔亮, 刘元雪. 塑性本构理论与工程材料塑性本构关系[J]. 应用数学和力学, 2014,35(7): 713-722.(ZHENG Ying-ren, KONG Liang, LIU Yuan-xue. Plastic constitutive relation and plastic constitutive theory for engineering materials[J]. Applied Mathematics and Mechanics,2014,35(7): 713-722.(in Chinese))
    周洋靖, 冯志强, 宁坡. 双势理论用于处理非关联材料本构[J]. 应用数学和力学, 2015,36(8): 787-804.(ZHOU Yang-jing, FENG Zhi-qiang, NING Po. The bi-potential theory applied to non-associated constitutive laws[J]. Applied Mathematics and Mechanics,2015,36(8): 787-804.(in Chinese))
    俞茂宏. 线性和非线性的统一强度理论[J]. 岩石力学与工程学报, 2007,26(4): 662-669.(YU Mao-hong. Linear and nonlinear unified strength theory[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(4): 662-669.(in Chinese))
    Resende L. A damage mechanics constitutive theory for the inelastic behavior of concrete[J]. Computer Methods in Applied Mechanics and Engineering,1987,60(1): 57-93.
    Faria R, Oliver J, Cervera M. A strain-based plastic viscous-damage model for massive concrete structures[J]. International Journal of Solids and Structures,1998,35(14): 1533-1558.
    Lee J, Fenves G L. A return-mapping algorithm for plastic-damage models: 3-D and plane stress formulation[J]. International Journal for Numerical Methods in Engineering,2001,50(2): 487-506.
    Oliver J. A consistent characteristic length for smeared cracking models[J]. International Journal for Numerical Methods in Engineering,1989,28(2): 461-474.
    Oliver J, Cervera M, Oller S, et al. Isotropic damage models and smeared crack analysis of concrete[C]//II International Conference on Computer Aided Analysis and Design of Concrete Structures, Sci-C’90.Zell am See, Austria ,1990.
    Simo J C, Ju J W. Strain and stress-based continuum damage models—I: formulation[J]. International Journal of Solids and Structures,1987,23(7): 821-840.
    Dhar S, Dixit P M, Sethuraman R. A continuum damage mechanics model for ductile fracture[J]. International Journal of Pressure Vessels and Piping, 2000,77(6): 335-344.
    Gopalaratnam V S, Slah S P. Softening response of plain concrete in direct tension[J]. Aci Materials Journal,1985,82(3): 310-323.
    Karsan I D, Jirsa J O. Behavior of concrete under compressive loadings[J]. Journal of the Structural Division,1969,95(12): 2543-2563.
    Kupfer H, Hilsdorf H K, Rusch H. Behavior of concrete under biaxial stresses[J]. ACI Journals,1969, 66(8): 656-666.
    Green S J, Swanson S R. Static constitutive relations for concrete: AFWL-TR-72-244[R]. US Air Force Weapons Laboratory, Kirtland Air Force Base, NM, 1973.
    Meyer R, Ahrens H, Duddeck H. Material model for concrete in cracked and uncracked states[J]. Journal of Engineering Mechanics,1994,120(9): 1877-1895.
    Petersson P E. Crack growth and development of fracture zones in plain concrete and similar materials: report No. TVBM-1006[R]. Sweden: Division of Building Materials, University of Lund, 1981.
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