›› 2004, Vol. 25 ›› Issue (7): 1127-1130.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Analysis of lateral deformation of rock specimen based on gradient- dependent plasticity (II): ¬¬¬¬size effect and snap-back

WANG Xue-bin, LIU Jie, WANG Lei, PAN Yi-shan   

  1. Department of Mechanics and Engineering Sciences, Liaoning Technical University, Fuxin 123000, China
  • Received:2003-04-13 Online:2004-07-09 Published:2014-07-18

Abstract: Influence of structural size on axial stress-lateral strain curves due to shear localization is investigated and a new method for determining the axial stress-lateral strain curves is proposed according to the axial stress-strain curves obtained by tests for different sizes. Using the analytical solution of the axial stress-axial strain curve based on gradient-dependent plasticity, linear regressions on the experimental axial stress-axial strain curves in strain-softening regime are carried out to calculate the number of shear band for different widths. After the number is determined, the axial stress-lateral strain curves for different sizes can be obtained according to the analytical solution of axial stress-lateral strain curve depending on the number of shear band and width of specimen. It is found that the ratio of the number of shear band to the width of specimen is a key parameter for describing the axial stress-lateral strain curves. If the ratio remains a constant, then the curves are size-independent. Otherwise, the post-peak curves are dependent on the width of specimen. For a single shear band appears in specimens with different widths, specimen with larger width leads to steeper curves and even exhibits snap-back behavior. The method proposed can also be used to analyze the problem of size effect of axial stress-circumferential strain curves. The reason for the size effect is shear localization, but the case that localization can not cause the size effect is not also impossible.

Key words: gradient-dependent plasticity, size effect, localization, lateral deformation, snap-back, number of shear band, width of specimen

CLC Number: 

  • TU 451
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