颗粒尺寸对岩石抗拉强度和断裂韧度影响的数值模拟

doi:10.12068/j.issn.1005-3026.2017.06.021

东北大学学报:自然科学版 ›› 2017, Vol. 38 ›› Issue (6): 864-868.DOI: 10.12068/j.issn.1005-3026.2017.06.021

颗粒尺寸对岩石抗拉强度和断裂韧度影响的数值模拟

于淼，朱万成，于永军，于庆磊

(东北大学资源与土木工程学院，辽宁沈阳110819)

收稿日期:2016-08-15 修回日期:2016-08-15 出版日期:2017-06-15 发布日期:2017-06-11
通讯作者: 于淼
作者简介:于淼(1988-)，男，辽宁鞍山人，东北大学博士研究生；朱万成(1974-)，男，新疆呼图壁人，东北大学教授，博士生导师.
基金资助:
国家自然科学基金资助项目(51525402，51374049，51574060)；教育部科学技术研究重点项目(113019A)；中央高校基本科研业务费专项资金资助项目(N140105001，N140106002).

Numerical Simulation for Calculating the Tensile Strength and Fracture Toughness Based on Different Grain Sizes

YU Miao， ZHU Wan-cheng， YU Yong-jun， YU Qing-lei

School of Resources & Civil Engineering， Northeastern University， Shenyang 110819， China.

Received:2016-08-15 Revised:2016-08-15 Online:2017-06-15 Published:2017-06-11
Contact: ZHU Wan-cheng
About author:-
Supported by:
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摘要/Abstract

摘要： 选取三种粒径(平均尺寸1.02，2.12，3mm)花岗岩试样，利用自主开发的岩石破裂过程数值计算软件(RFPA-DIP细观版)，进行带缺口试样三点弯曲试验.利用虚裂纹模型描述岩石试样达到峰值载荷前的断裂过程区，引入双线性应力分布模型，将试样内部平均颗粒尺寸与虚裂纹模型建立起联系，通过数值模拟可分别计算出不同颗粒尺寸花岗岩的抗拉强度和断裂韧度.通过引入分形维数概念来表达不同颗粒尺寸花岗岩试样内部颗粒分布的特征，得到结论:颗粒尺寸与分维值呈反比例关系，分维值较小的花岗岩试样其抗拉强度和断裂韧度相对较小.

关键词: 颗粒尺寸, 断裂韧度, 抗拉强度, 虚裂纹模型, 三点弯曲试验

Abstract: Three-point-bending tests on three kinds rock samples of grain sizes 1.02mm(fine grained)， 2.12mm (medium grained) and 3mm(coarse grained) with different notches are numerically performed by RFPA-DIP version to simulate the failure process compared with experimental results in laboratory. A simple fracture model is established， linking fictitious crack to the average aggregate size so that the rock specimen and fictitious crack formation can be considered together. Maximum loads of three-bending-point tests with different initial notches containing different tensile strength and fracture toughness are analyzed. The concept of fractal dimension is introduced to characterize the grain size distribution. It is concluded that the fractal dimension decreases with the increase of grain size， and the rock samples with smaller fractal dimension correspondingly have smaller tensile strength and fracture toughness.

Key words: grain size, fracture toughness, tensile strength, fictitious crack model, three point bending test

中图分类号:

TU45

于淼，朱万成，于永军，于庆磊. 颗粒尺寸对岩石抗拉强度和断裂韧度影响的数值模拟[J]. 东北大学学报:自然科学版, 2017, 38(6): 864-868.

YU Miao， ZHU Wan-cheng， YU Yong-jun， YU Qing-lei. Numerical Simulation for Calculating the Tensile Strength and Fracture Toughness Based on Different Grain Sizes[J]. Journal of Northeastern University:Natural Science, 2017, 38(6): 864-868.

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颗粒尺寸对岩石抗拉强度和断裂韧度影响的数值模拟

Numerical Simulation for Calculating the Tensile Strength and Fracture Toughness Based on Different Grain Sizes

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