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铁道科学与工程学报

JOURNAL OF RAILWAY SCIENCE AND ENGINEERING

Vol. 19    Special 3    December 2009

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Theoretical study on damage bifurcation of unstable failure process of quasi-brittle materials
WANG Zhong-chang(王忠昶)1, 2, ZHAO De-shen(赵德深)1, YANG Qing(杨 庆)2

1. Key Laboratory for Prediction & Control on Complicated Structure System of Education Department of
Liaoning Province, Dalian University, Dalian 116622, China;
2. Institute of Geotechnical Engineering, School of Civil and Hydraulic Engineering,
Dalian University of Technology, Dalian 116024, China

Abstract:To obtain the damage effect in the process of elasto-plasticity deformation of quasi-brittle materials, the isotropic damage loading-unloading function and damage variable were introduced to non-continuous bifurcation. The critical bifurcation orientation and its corresponding hardening modulus for quasi-brittle materials were derived considering the effect of stiffness degradation and volumetric dilatancy under the assumption of isotropic damage. The relationships of localized orientation angle and maximal hardening modulus dependent on degree of damage and initial Poisson’s ratio of rock were explored. Comparative analyses were conducted to study the bifurcation of uniaxial tension-compression samples under the conditions of plane stress and plane strain. It is shown that as the initial Poisson’s ratio or degree of damage increases, the localization orientation angle of the plane uniaxial compression sample tends to be initiated to decrease. However, the localization orientation angle of the plane uniaxial tension sample tends to be initiated to increase. The sum of orientation angle under tension and compression conditions is 90˚. There are plane stress and plane strain cases of the maximum hardening modulus that is independent of the uniaxial compression and tension.

 

Key words: isotropic damage; orientation of localization; maximum hardening modulus; bifurcation; uniaxial sample

ISSN 1672-7029
CN 43-1423/U

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