Fractal characterization of meso-structural evolution during tension of limestone

PENG Rui-dong; JU Yang; XIE He-ping

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Fractal characterization of meso-structural evolution during tension of limestone

更新时间：2026-06-25

- Fractal characterization of meso-structural evolution during tension of limestone
- Vol. 28, Issue 12, (2007)
- 作者机构：
  
  1. 中国矿业大学（北京）煤炭资源与安全开采国家重点试验室,北京,100083
  2. 四川大学,成都,610065
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU452;O346.5
- Online First：18 October 2013，
  
  Published：2007
- 稿件说明：
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PENG Rui-dong, JU Yang, XIE He-ping. Fractal characterization of meso-structural evolution during tension of limestone[J]. 2007, 28(12).
DOI：

PENG Rui-dong, JU Yang, XIE He-ping. Fractal characterization of meso-structural evolution during tension of limestone[J]. 2007, 28(12). DOI：

摘要

岩石损伤演化的本质在于内部微细观结构发生了不可逆的劣化，它会在岩石表面体现出来。通过带扫描电镜的伺服试验机对岩石进行了拉伸试验，实时采集了岩石变形破坏过程中表面细观形貌的SEM照片。试验表明岩石在变形破坏过程中表面形貌将发生不可逆的演化直至最终出现宏观拉伸裂纹。针对SEM照片，借助数字图像处理的方法进行了阈值分割及边缘检测，计算出SEM数字图像的分形维数作为描述岩石表面细观形貌的参数。研究表明，随着载荷的增大，岩石表面的分形维数也逐渐增大，岩石的损伤程度加剧。

Abstract

The essential of rock damage evolution is the deterioration of rock’s meso-structure

which also appears on the surface of rock. The tension tests of limestone samples were employed in the test machine assembled with scanning electronic microscope

and simultaneously the SEM image of sample surface was captured while the sample is being loaded. It is observed that the surface pattern of rock transforms irreversibly and eventually macro cracks appear on the surface due to tension. Moreover the SEM image is analyzed by the method of digital image processing

which includes threshold partition and edge detection

and then the fractal dimension of rock surface is calculated as a parameter to characterize the meso surface pattern of rock. It is concluded that the fractal dimension increases with the increasing of load

and at the same time damage become more severe.

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