Spatial distribution of tensile stress in Brazilian disk test of rock

YU Yong; CHEN Ping

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Spatial distribution of tensile stress in Brazilian disk test of rock

更新时间：2026-06-25

- Spatial distribution of tensile stress in Brazilian disk test of rock
- Vol. 26, Issue 12, (2005)
- 作者机构：
  
  1. 西南交通大学应用力学与工程系,成都,610031
  2. 铁道部科学研究院深圳设计研究院,深圳,518034
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU452
- Online First：12 January 2014，
  
  Published：2005
- 稿件说明：
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YU Yong, CHEN Ping. Spatial distribution of tensile stress in Brazilian disk test of rock[J]. 2005, 26(12).
DOI：

YU Yong, CHEN Ping. Spatial distribution of tensile stress in Brazilian disk test of rock[J]. 2005, 26(12). DOI：

摘要

指出目前人们使用了40多年的岩石巴西圆盘试验拉伸强度公式来自二维弹性力学解答，该公式不适用于实际情况所对应的三维弹性力学问题。为了得到三维条件下试样内部的应力分布规律，采用三维有限元分析软件Marc对试样进行了弹性受力分析，结果表明，试样横截面上的拉应力分布规律与二维条件下的情况相类似，但横截面上的应力值沿试样厚度方向是有变化的，越靠近两端面，水平拉应力越大。分析发现，对于高径比为1、泊松比为0.25的巴西圆盘试样，按二维公式计算的抗拉强度比真实值小23.3 %

Abstract

The authors pointed out that the formula existed for more than 40 years to calculate the tensile strength of rock in Brazilian test is based on 2D elastic theory; and the formula is not suitable for the practical condition which is a 3D problem. In order to obtain 3D stress distribution within the specimen

we adopted software package Marc to carry out a 3D finite element analysis. It is found that the tensile stress distribution at a cross-section of a solid specimen is similar to that of 2D disk. However

the tensile stress at a cross-section varies with the thickness of the specimen. The nearer the cross-section closes to the end of the specimen

the higher the horizontal tensile stress is. When the height-to-diameter ratio of the specimen is 1 and Poisson’s ratio is 0.25

the tensile strength calculated by the classical 2D solution is 23.3% less than the real value.

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