Applied Mathematics and Mechanics

, Volume 25, Issue 9, pp 1039–1046 | Cite as

Analysis of the localization of damage and the complete stress-strain relation for mesoscopic heterogeneous brittle rock subjected to compressive loads

  • Zhou Xiao-ping
  • Zhang Yong-xing
  • Ha Qiu-ling
  • Wang Jian-hua


A micromechanics-based model is established. The model takes the interaction among sliding cracks into account, and it is able to quantify the effect of various parameters on the localization condition of damage and deformation for brittle rock subjected to compressive loads. The closed-form explicit expression for the complete stress-strain relation of rock containing microcracks subjected to compressive loads was obtained. It is showed that the complete stress-strain relation includes linear elasticity, nonlinear hardening, rapid stress drop and strain softening. The behavior of rapid stress drop and strain softening is due to localization of deformation and damage. Theoretical predictions have shown to be consistent with the experimental results.

Key words

compressive load mesoscopic heterogeneous rock complete stress-strain relation localization of damage and deformation 

Chinese Library Classification


2000 Mathematics Subject Classification



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Copyright information

© Editorial Committee of Applied Mathematics 2004

Authors and Affiliations

  • Zhou Xiao-ping
    • 1
    • 2
  • Zhang Yong-xing
    • 1
  • Ha Qiu-ling
    • 1
  • Wang Jian-hua
    • 2
  1. 1.School of Civil EngineeringChongqing UniversityChongqingP.R. China
  2. 2.School of Civil Engineering and MechanicsShanghai Jiaotong UniversityShanghaiP. R. China

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