REN Zhong-jun, PENG Xiang-he, HU Ning, YANG Chun-he. Micromechanical Damage Model for Rocks and Concretes Under Triaxial Compression[J]. Applied Mathematics and Mechanics, 2009, 30(3): 309-317.
Citation: REN Zhong-jun, PENG Xiang-he, HU Ning, YANG Chun-he. Micromechanical Damage Model for Rocks and Concretes Under Triaxial Compression[J]. Applied Mathematics and Mechanics, 2009, 30(3): 309-317.

Micromechanical Damage Model for Rocks and Concretes Under Triaxial Compression

  • Received Date: 2008-08-17
  • Rev Recd Date: 2008-12-25
  • Publish Date: 2009-03-15
  • Based on the analysis of the deformation in an infinite isotropic elastic matrix containing an embedded elliptic crack, subject to far field triaxial compressive stress, the energy release rate and a mixed fracture criterion were obtained by using an energy balance approach. The additional compliance tensor induced by a single closed elliptic microcrack in a representative volume element and its in-plane growth was derived. The additional compliance tensor induced by the kinked growth of the elliptic microcrack was also obtained. The effect of the microcracks, randomly distributed both in geometric characteristics and orientations, was analyzed with the Taylor's scheme by introducing an appropriate probability density function. A micromechanical damage model for rocks and concretes under triaxial compression was obtained and experimentally verified.
  • loading
  • [1]
    Horii H, Nemat-Nasser S. Overall moduli of solids with microcracks: load-induced anisotropy[J].Journal of the Mechanics and Physics of Solids,1983,31(2):155-171. doi: 10.1016/0022-5096(83)90048-0
    [2]
    Li C L, Nordlund E. Deformation of brittle rocks under compression-with particular reference to microcracks[J].Mechanics of Materials,1993,15(3):223-239. doi: 10.1016/0167-6636(93)90019-N
    [3]
    Fanella D, Krajcinovic D. A micromechanical damage model for concrete in compression[J]. Engineering Fracture Mechanics,1988,29(1):49-66. doi: 10.1016/0013-7944(88)90006-9
    [4]
    Ju J W. On two-dimensional self-consistent micromechanical damage models for brittle solids[J].International Journal of Solids and Structures,1991,27(2):227-258. doi: 10.1016/0020-7683(91)90230-D
    [5]
    Feng X Q, Yu S W. A new damage model for microcrack-weakened brittle solids[J].Acta Mechanica Sinica,1993,9(3):251-260. doi: 10.1007/BF02486802
    [6]
    Yu S W, Feng X Q. A micromechanics-based damage model for microcrack-weakened brittle solids[J].Mechanics of Materials,1995,20(1):59-76. doi: 10.1016/0167-6636(94)00046-J
    [7]
    Krajcinovic D. Damage mechanics[J].Mechanics of Materials,1989,8(2):117-197. doi: 10.1016/0167-6636(89)90011-2
    [8]
    Ju J W, Chen T M. Effective elastic moduli of two-dimensional brittle solids with interacting microcracks—part I: basic formulations[J].Journal of Applied Mechanics,1994,61(2):349-357. doi: 10.1115/1.2901451
    [9]
    Kachanov M. Effective elastic properties of crack solids, critical review of some basic concepts[J].Applied Mechanics Review,1992,45(7):304-335. doi: 10.1115/1.3119761
    [10]
    Kassir M K, Sih G C. Three dimensional stress distribution around an elliptical crack under arbitrary loading[J].Journal of Applied Mechanics,1966,33(3): 601-611. doi: 10.1115/1.3625127
    [11]
    Kassir M K, Sih G C. Three dimensional crack problems[A]. In:Sih G C,Ed.Mechanics of Fracture[C].Leyden: Noordhoff International Publishing, 1975, 382-409.
    [12]
    Budiansky B, O'connell R J. Elastic moduli of a cracked solid[J].International Journal of Solids and Structures,1976,12(1): 81-95. doi: 10.1016/0020-7683(76)90044-5
    [13]
    丁遂栋, 孙利民. 断裂力学[M]. 北京:机械工业出版社, 1997.
    [14]
    Ashby M F, Hallam S D. The failure of brittle solids containing small cracks under compressive stress state[J].Acta Metallurgica,1986,34(3): 497-510. doi: 10.1016/0001-6160(86)90086-6
    [15]
    Kachanov M. A microcrack model of rock inelasticity[J].Mechanics of Materials,1982,1(1):19-41. doi: 10.1016/0167-6636(82)90021-7
    [16]
    Horii H, Nemat-Nasser S. Brittle failure in compression: splitting, faulting, and brittle-ductile transition[J].Philosophical Transactions of the Royal Society of London Series A,1986,319(1549):337-374. doi: 10.1098/rsta.1986.0101
    [17]
    Li H B, Zhao J, Li T J. Micromechanical modelling of the mechanical properties of a granite under dynamic uniaxial compressive loads[J].International Journal of Rock Mechanics and Mining Sciences,2000,37(6):923-935. doi: 10.1016/S1365-1609(00)00025-3
    [18]
    X Lee, Ju J W. On three-dimensional self-consistent micromechanical damage models for brittle solids—part Ⅱ: compressive loadings[J].Journal of Engineering Mechanics,1991,117(7): 1515-1536. doi: 10.1061/(ASCE)0733-9399(1991)117:7(1515)
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2687) PDF downloads(716) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return