Quantitative identification of the failure behavior of the 3D printed rock-like specimen with one hole and two flaws

LIU Xiang-hua; ZHANG Ke; LI Na; QI Fei-fei; YE Jin-ming

doi:10.16285/j.rsm.2021.0521

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Quantitative identification of the failure behavior of the 3D printed rock-like specimen with one hole and two flaws

更新时间：2026-06-25

- Quantitative identification of the failure behavior of the 3D printed rock-like specimen with one hole and two flaws
- Vol. 42, Issue 11, Pages: 3017-3028(2021)
- 作者机构：
  
  1. 昆明理工大学建筑工程学院,云南,昆明,650500
  2. 昆明理工大学电力工程学院,云南,昆明,650500
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2021.0521
  CLC： TU45
- Online First：12 November 2021，
  
  Published：2021
- 稿件说明：
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LIU Xiang-hua, ZHANG Ke, LI Na, et al. Quantitative identification of the failure behavior of the 3D printed rock-like specimen with one hole and two flaws[J]. 2021, 42(11): 3017-3028.
DOI：

LIU Xiang-hua, ZHANG Ke, LI Na, et al. Quantitative identification of the failure behavior of the 3D printed rock-like specimen with one hole and two flaws[J]. 2021, 42(11): 3017-3028. DOI： 10.16285/j.rsm.2021.0521.

摘要

为研究含孔双裂隙岩石的力学特性及破裂机制，采用3D砂型打印技术制作含孔双裂隙类岩石试件，结合数字图像相关方法（digital image correlation，DIC）对压缩过程中的试件进行非接触式、全场观测。计算水平应变、垂直应变和剪切应变3个分量的协方差矩阵，引入应变场有效方差量化分析和识别试件破裂行为。研究结果表明：3D砂型打印标准试件的力学性能与真实砂岩相似，且试验结果离散性低，可归结为类岩石材料。预制裂隙劣化了试件的力学性能，相比于含孔无裂隙试件，含孔双裂隙试件的抗压强度和弹性模量分别降低了8.04%～38.91%和14.44%～27.78%。结合DIC计算结果，成功识别出3种基本裂纹，即张拉裂纹（I型）、剪切裂纹（II型）和拉剪混合裂纹（I-II复合型）。含孔双裂隙试件均表现为拉剪混合破坏；孔洞和裂隙之间的贯通模式受两者之间水平距离的影响，可分为张拉贯通、转动贯通以及拉剪混合贯通。应变场有效方差能够全面、深入地反映应变数据的离散程度，初始压密和弹性阶段的应变场有效方差接近于0，裂纹萌生后表现出不同的演化规律。在此基础上，提出一种基于应变场有效方差的裂纹类型定量识别方法。有效方差的增长速率介于0.72×10–2～1.89×10–2，可识别为张拉裂纹；介于2.34×10–2～3.59×10–2，可识别为拉剪混合裂纹；介于9.63×10–2～32.40×10–2，可识别为剪切裂纹。

Abstract

In order to study the mechanical properties and failure mechanisms of the rocks with groups of holes and flaws

we use the 3D sand printing technique to prepare the rock-like specimens that each contains one hole and two flaws. We use the digital image correlation (DIC) method to monitor the full field of the specimens during their compression process without any contact. By calculating the matrix of the horizontal

vertical and shear strain

we introduce the effective variance of the strain field

which can be used to quantify and identify the failure behavior of the specimens. The main results are listed as below. The mechanical properties of the standard 3D sand printed specimens are similar to those of natural sandstones

and the variations of their mechanical properties are considerably low during the experiments. Therefore

they can be grouped as a rock-like material. Due to the inclusion of the flaws

the mechanical properties of the specimens are degraded. The compressive strength and elastic modulus are reduced by 8.04%-38.91% and 14.44%-27.78%

respectively

compared with those of the specimens containing no flaw but only one hole. Based on the results of DIC

three basic types of cracks are identified successfully

that is

tensile crack (Mode I)

shear crack (Mode II) and tensile and shear mixed crack (Mode I-II). The failure patterns of all the specimens with one hole and two flaws show tensile and shear mixed crack (Model I-II). The coalescence patterns between the hole and the flaws can be influenced by their horizontal distance. Those patterns can be classified into tensile coalescence

rotation coalescence and shear coalescence. The discreteness of the strain field can be quantified by the effective variance of strain field comprehensively. The effective variance of the strain field is close to zero at the initial crack closure stage and the elastic deformation stage. It grows differently after the appearance of cracks. Based on the effective variance of the strain field

we propose a quantitative method to identify the type of crack. The cracks can be identified as tensile crack

tensile and shear mixed crack

and shear crack

respectively

when the growth rate of the effective variance falls into the ranges between 0.72×10–2 and 1.89×10–2

between 2.34×10–2 and 3.59×10–2

and between 9.63×10–2 and 32.40×10–2

correspondingly.

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