NDLI: Analysis of progressive failure of pillar and instability criterion based on gradient-dependent plasticity

Content Provider	Springer Nature Link
Author	Wang, Xue bin
Copyright Year	2004
Abstract	A mechanical model for strain softening pillar is proposed considering the characteristics of progressive shear failure and strain localization. The pillar undergoes elastic, strain softening and slabbing stages. In the elastic stage, vertical compressive stress and deformation at upper end of pillar are uniform, while in the strain softening stage there appears nonuniform due to occurrence of shear bands, leading to the decrease of load-carrying capacity. In addition, the size of failure zone increases in the strain softening stage and reaches its maximum value when slabbing begins. In the latter two stages, the size of elastic core always decreases. In the slabbing stage, the size of failure zone remains a constant and the pillar becomes thinner. Total deformation of the pillar is derived by linearly elastic Hooke’s law and gradient-dependent plasticity where thickness of localization band is determined according to the characteristic length. Post-peak stiffness is proposed according to analytical solution of averaged compressive stress-average deformation curve. Instability criterion of the pillar and roof strata system is proposed analytically using instability condition given by Salamon. It is found that the constitutive parameters of material of pillar, the geometrical size of pillar and the number of shear bands influence the stability of the system; stress gradient controls the starting time of slabbing, however it has no influence on the post-peak stiffness of the pillar.
Starting Page	445
Ending Page	450
Page Count	6
File Format	PDF
ISSN	10059784
Journal	Journal of Central South University of Technology
Volume Number	11
Issue Number	4
e-ISSN	19930666
Language	English
Publisher	Central South University of Technology
Publisher Date	2004-01-01
Publisher Place	Changsha
Access Restriction	Subscribed
Subject Keyword	instability criterion strain softening pillar strain localization shear band progressive failure slabbing rock burst Engineering Metallic Materials
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Materials Science Mechanical Engineering

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