三轴压缩下岩石/混凝土的三维细观损伤模型

任中俊; 彭向和; 胡宁; 杨春和

三轴压缩下岩石/混凝土的三维细观损伤模型

1.
重庆大学工程力学系,重庆 400044;2.日本东北大学航天工程系,仙台 980_8579,日本

基金项目: 国家自然科学基金资助项目(10872220,50725414);日本科学振兴会资助项目(JSPSL08538)

详细信息

作者简介:
任中俊(1981- ),男,四川渠县人,博士生(E-mail:sea1800@sina.com);彭向和(1953- ),男,福建福州人,教授,博士生导师(联系人.Tel:+86-23-65111468;E-mail:xhpeng@cqu.edu.cn).

中图分类号: O346.5
计量
- 文章访问数: 2788
- HTML全文浏览量: 134
- PDF下载量: 717
- 被引次数: 0
出版历程
- 收稿日期: 2008-08-17
- 修回日期: 2008-12-25
- 刊出日期: 2009-03-15

Micromechanical Damage Model for Rocks and Concretes Under Triaxial Compression

1.
Department of Engineering Mechanics, Chongqing University, Chongqing 400044, P. R. China;

摘要

摘要: 考虑三轴压应力作用下的无限大体深埋椭圆形裂纹的变形场，给出了闭合椭圆形微裂纹的能量释放率．采用能量平衡方法分析了闭合椭圆形微裂纹的扩展条件，得到了代表性体积单元中具有任意空间取向的单个闭合椭圆形微裂纹及其扩展引起的附加柔度张量．分析了闭合椭圆形微裂纹的偏折扩展，得到了微裂纹偏折扩展引起的附加柔度张量．采用Taylor方法考虑微裂纹系统对代表性体积单元变形的影响，引入概率密度函数，得到了三轴压缩下岩石/混凝土的三维细观损伤模型．分析了混凝土的单轴压缩特性，结果表明该模型能够很好地描述实验现象．
- 椭圆形微裂纹 /
- 裂纹平面扩展 /
- 裂纹偏折扩展 /
- 能量释放率 /
- 细观-宏观损伤模型
Abstract: 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.
- elliptic microcrack /
- in-plane growth /
- kinked growth /
- energy release rate /
- micro-macro damage model

HTML全文

参考文献(18)

[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)

施引文献

资源附件(0)

访问统计

计量

文章访问数: 2788
HTML全文浏览量: 134
PDF下载量: 717
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

三轴压缩下岩石/混凝土的三维细观损伤模型

作者简介:
任中俊(1981- ),男,四川渠县人,博士生(E-mail:sea1800@sina.com);彭向和(1953- ),男,福建福州人,教授,博士生导师(联系人.Tel:+86-23-65111468;E-mail:xhpeng@cqu.edu.cn).

计量

Micromechanical Damage Model for Rocks and Concretes Under Triaxial Compression

计量

目录

留言板

三轴压缩下岩石/混凝土的三维细观损伤模型

作者简介: 任中俊(1981- ),男,四川渠县人,博士生(E-mail:sea1800@sina.com);彭向和(1953- ),男,福建福州人,教授,博士生导师(联系人.Tel:+86-23-65111468;E-mail:xhpeng@cqu.edu.cn).

计量

出版历程

Micromechanical Damage Model for Rocks and Concretes Under Triaxial Compression

计量

出版历程

目录

作者简介:
任中俊(1981- ),男,四川渠县人,博士生(E-mail:sea1800@sina.com);彭向和(1953- ),男,福建福州人,教授,博士生导师(联系人.Tel:+86-23-65111468;E-mail:xhpeng@cqu.edu.cn).