Statistical damage model for quasi-brittle materials under uniaxial tension

Jian-yun Chen , Wei-feng Bai , Shu-li Fan , Gao Lin

Journal of Central South University ›› 2009, Vol. 16 ›› Issue (4) : 669 -676.

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Journal of Central South University ›› 2009, Vol. 16 ›› Issue (4) : 669 -676. DOI: 10.1007/s11771-009-0111-6
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Statistical damage model for quasi-brittle materials under uniaxial tension

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Abstract

Based on the parallel bar system, combining with the synergetic method, the catastrophe theory and the acoustic emission test, a new motivated statistical damage model for quasi-brittle solid was developed. Taking concrete for instances, the rationality and the flexibility of this model and its parameters-determining method were identified by the comparative analyses between theoretical and experimental curves. The results show that the model can simulate the whole damage and fracture process in the fracture process zone of material when the materials are exposed to quasi-static uniaxial tensile traction. The influence of the mesoscopic damage mechanism on the macroscopic mechanical properties of quasi-brittle materials is summarized into two aspects, rupture damage and yield damage. The whole damage course is divided into the statistical even damage phase and the local breach phase, corresponding to the two stages described by the catastrophe theory. The two characteristic states, the peak nominal stress state and the critical state are distinguished, and the critical state plays a key role during the whole damage evolution course.

Keywords

quasi-brittle material / damage mechanism / microstructure / tensile properties / fracture process zone

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Jian-yun Chen, Wei-feng Bai, Shu-li Fan, Gao Lin. Statistical damage model for quasi-brittle materials under uniaxial tension. Journal of Central South University, 2009, 16(4): 669-676 DOI:10.1007/s11771-009-0111-6

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References

[1]

KrajcinovicD.. Damage mechanics: Accomplishments, trends, and needs [J]. International Journal of Solids Structures, 2000, 37: 267-277

[2]

KrajcinovicD., RinaldiA.. Thermodynamics and statistical physics of damage processes in quasi-ductile solids [J]. Mechanics of Materials, 2005, 37: 299-315

[3]

HuL.-q., LiX.-bing.. Damage and fragmentation of rock under experiencing impact load [J]. Journal of Central South University of Technology, 2006, 13(4): 432-437

[4]

KrajcinovicD., SilvaM. A. G.. Statistical aspects of the continuous damage theory [J]. International Journal of Solids Structures, 1982, 18: 551-562

[5]

TangC.-a., ZhuW.-cheng.Damage and fracture of concrete: Numerical experiment [M], 2003, Beijing, Science Press

[6]

LiJ.. Research on the stochastic damage mechanics for concrete materials and structures [J]. Journal of Tongji University, 2004, 32(10): 1271-1277

[7]

LemaitreJ., DesmoratR.Engineering damage mechanics: Ductile, creep, fatigue and brittle failures [M], 2005, Berlin, Springer

[8]

CaoW.-g., LiX., ZhaoH.. Damage constitutive model for strain-softening rock based on normal distribution and its parameter determination [J]. Journal of Central South University of Technology, 2007, 14(5): 719-724

[9]

XuW.-y., WeiL.-de.. Study on statistical damage constitutive model of rock [J]. Chinese Journal of Rock Mechanics and Engineering, 2002, 21(6): 787-791

[10]

BazantZ. P., PangS. D.. Mechanics-based statistics of failure risk of quasi-brittle structures and size effect on safety factors [J]. Proceedings of the National Academy of Sciences, 2006, 103(25): 9434-9439

[11]

KrajcinovicD.. Selection of damage parameter-Art or science? [J]. Mechanics of Materials, 1998, 28: 165-179

[12]

BaiY.-l., WangH.-y., XiaM.-f., KeF.-jiu.. Statistical mesomechanics of solid, linking coupled multiple space and time scales [J]. Advances in Mechanics, 2006, 36(2): 286-305

[13]

YuG.-m., WeiY., PanY.-z., LiuW.-f., ZhuY.-j., LiuF.-shun.. Synergetic study and eyeable simulation of AE laws in the course of concrete break [J]. Journal of Qingdao Institute of Architecture and Engineering, 2005, 26(4): 1-5

[14]

GopalaratnamV. S., ShahS. P.. Softening response of plain concrete in direct tension [J]. ACI Materials Journal, 1985, 82: 310-323

[15]

GuoZ.-h., ZhangX.-qin.. Investigation of complete stress-deformation curves for concrete in tension [J]. ACI Materials Journal, 1987, 84: 278-285

[16]

OlssonM., RistinmaaM.. A physically motivated modification of the strain equivalence approach [J]. International Journal of Damage Mechanics, 2005, 14(1): 25-50

[17]

GB50010-2002.Specification for Design of Concrete Structure [S], 2002, Beijing, China Building Industry Press

[18]

ChenH. F., SaleebA. F.Constitutive equations for materials of concrete and soil [M], 2005, Beijing, China Architecture and Building Press

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