A Fracture-Energy-Based Elasto-Softening-Plastic Constitutive Model for Joints of Geomaterials

SHEN Xin-pu; SHEN Guo-xiao

Volume 23 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(9): 975-981

SHEN Xin-pu, SHEN Guo-xiao. A Fracture-Energy-Based Elasto-Softening-Plastic Constitutive Model for Joints of Geomaterials[J]. Applied Mathematics and Mechanics, 2002, 23(9): 975-981.

Citation:

SHEN Xin-pu, SHEN Guo-xiao. A Fracture-Energy-Based Elasto-Softening-Plastic Constitutive Model for Joints of Geomaterials[J]. Applied Mathematics and Mechanics, 2002, 23(9): 975-981.

Citation:

SHEN Xin-pu, SHEN Guo-xiao. A Fracture-Energy-Based Elasto-Softening-Plastic Constitutive Model for Joints of Geomaterials[J]. Applied Mathematics and Mechanics, 2002, 23(9): 975-981.

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A Fracture-Energy-Based Elasto-Softening-Plastic Constitutive Model for Joints of Geomaterials

SHEN Xin-pu¹,
SHEN Guo-xiao²

1.
Department of Architecturar Engineeing, Shenyang University of Technology, Shenyang 110023, P. R. China;
2.
Department of Applied Sciences, Taiyuan Institute of Heavy Machine, Taiyuan 030024, P. R. China

Received Date: 2001-08-13
Rev Recd Date: 2002-06-18
Publish Date: 2002-09-15

Abstract

Abstract

On the basis of plasticity and fracture mechanics for quasi-brittle materials, this article presented a constitutive model for gradual softening behavior of joints of geomaterials. Corresponding numerical tests are carried out at the local level. Characteristics of the model proposed are:1) plastic softening and dilatancy behavior are directly related to the fracture process of joint, and much less material and model parameters are required compared with those proposed by references; 2) the process of decohesion coupled with frictional sliding at both micro-scale and macro-scale is described.
- interface crack,
- quasi-brittle fracture,
- joint element,
- dilatancy,
- non-associated plasticity

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References(6)

References

[1]	Goodman R E,Taylor R L,Brekke T L.A model for the mechanics of jointed rock[J].Proc ASCE,1968,94(SM3):637-659.
[2]	Carol I,Prat P C,Lopez C M.Normal/shear cracking model:application to discrete crack analysis[J].J Engng Mech,ASCE,1997,123(1):1-9.
[3]	Hohnborg J M.A Joint Element for the Nonlinear Dynamic Analysis of Arch Dams[M].Berlin:Birkhaeuser Publishers Basel,1992.
[4]	Fakharian K,Evgin E.Elasto-plastic modelling of stress-path-dependent behavior of joint surfaces[J].Internat J Numer Anal Methods Geomech,2000,24(1):183-199.
[5]	徐秉业,刘信声.结构塑性极限分析[M].北京:机械工业出版社,1988.
[6]	Lofti H,Shing P.Interface model applied to fracture of masonry structures[J].J Struc Engng ASCE,1994,120(1):63-80.

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