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

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

更新时间：2026-06-25

- Analysis of lateral deformation of rock specimen based on gradient- dependent plasticity (II): ¬¬¬¬size effect and snap-back
- Vol. 25, Issue 7期　刊出日, (2004)
- 作者机构：
  
  辽宁工程技术大学力学与工程科学系,辽宁,阜新,123000
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU451
- Online First：18 July 2014，
  
  Published：2004
- 稿件说明：
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WANG Xue-bin, LIU Jie, WANG Lei, et al. Analysis of lateral deformation of rock specimen based on gradient- dependent plasticity (II): ¬¬¬¬size effect and snap-back[J]. 2004, 25(7期　刊出日).
DOI：

WANG Xue-bin, LIU Jie, WANG Lei, et al. Analysis of lateral deformation of rock specimen based on gradient- dependent plasticity (II): ¬¬¬¬size effect and snap-back[J]. 2004, 25(7期　刊出日). DOI：

摘要

提出了利用不同尺寸试件的轴向应力-应变曲线得到轴向应力-侧向应变曲线的一种方法，并研究了结构尺寸对轴向应力-侧向应变曲线的影响。根据尺寸不同试件的轴向应力-轴向应变曲线的实验结果，并基于梯度塑性理论的解析解，在应变软化阶段，确定出了各种试件的剪切带条数。由此求出了不同宽度试样的轴向应力-侧向应变曲线。剪切带条数与试件宽度之比是决定轴向应力-侧向应变曲线特征的关键指标。若该比率为常量，则上述曲线不具有尺寸效应。当宽试件及窄试件在局部化启动后，在试件内部都出现一条剪切带时，随着试件宽度的增加，该曲线越陡，甚至出现回跳。上述方法也可用于分析轴向应力-环向应变曲线的尺寸效应问题。尺寸效应的原因是局部化，但局部化并非总引起尺寸效应。

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.

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