基于代表性体积单元模型的矿石组分界面破碎特征

蔡改贫; 郝书灏; 余成; 宣律伟

doi:10.11858/gywlxb.20210896

基于代表性体积单元模型的矿石组分界面破碎特征

doi: 10.11858/gywlxb.20210896

蔡改贫^{1, 2,},
郝书灏¹,
余成¹,
宣律伟¹

1.
江西理工大学机电工程学院, 江西赣州　341000
2.
江西省矿冶机电工程技术研究中心, 江西赣州　341000

基金项目: 国家自然科学基金（51464017）；江西省重点研发计划（20181ACE50034）

详细信息

作者简介:
蔡改贫（1964－），男，博士，教授，主要从事散体-矿冶智能装备、物料破碎动力学关键技术和装备开发等研究. E-mail：664431653@qq.com

中图分类号: O347; TD912
计量
- 文章访问数: 1115
- HTML全文浏览量: 411
- PDF下载量: 26
出版历程
- 收稿日期: 2021-11-03
- 修回日期: 2021-11-26
- 录用日期: 2021-12-03
- 刊出日期: 2022-05-30

Fracture Characteristics of Ore Components Interface Based on Representative Volume Unit Model

1.
School of Mechanical and Electrical Engineering, Jiangxi University of Science and Technology, Ganzhou 341000, Jiangxi, China
2.
Jiangxi Province Engineering Research Center for Mechanical and Electrical of Mining and Metallurgy, Ganzhou 341000, Jiangxi, China

摘要

摘要: 矿物组分的界面破碎特征一般指黏结界面在外部载荷作用下产生的应力、应变等，其对研究矿物组分解离、提高矿石破碎效率具有重要意义。针对矿石内部组分矿物聚集、有用矿物非均匀分布的特点，开展了岩石内部岩相分析实验和矿物界面原位加载实验，在此基础上，利用非线性、多尺度建模平台DIGIMAT构建符合组分矿物微观结构的代表性体积单元（RVE）模型，并通过DIGIMAT-ABAQUS耦合开展矿石RVE模型原位破碎模拟。结果表明：(1)黑钨矿石中有用矿物以颗粒状分布在矿石内部，主要分布在石英矿物内及其与硅质岩矿物黏结界面处；(2)不同组分黏结界面的力学性质存在差异，且与组成矿物的物理属性、形态特征等相关，石英-硅质岩界面的最小破碎应力（界面发生破坏时的应力）范围为1.1785～1.4826 GPa，石英-钨界面的最小破碎应力范围为1.3355～1.5420 GPa；(3)加载速率为0.010或0.005 kN/s时，矿石破碎峰值应力无明显变化，但其对矿石内部形变的影响较大，且加载速率为0.010 kN/s时，强化阶段应力易突然降低并不断波动；(4)原位载荷产生的破坏主要发生在载荷作用区域边界，且两组界面中石英矿物破碎力学性能参数大于钨矿物和硅质岩矿物，即界面组成矿物中石英矿物优先形成破坏。
- 矿物界面 /
- 代表性体积单元模型 /
- 破碎特征 /
- 岩相分析
Abstract: The fracture characteristic of mineral component interface refers to the stress, strain and other processes generated by the bonding interface under the action of external load. It is of great significance for studying the dissociation of component minerals and improving the efficiency of ore crushing. To further study the characteristics of mineral accumulation and non-uniform distribution of useful minerals in the ore, the internal rock facies analysis and the mineral interface in-situ loading experiments were carried out. Based on these two experiments, the non-linear, multi-scale modeling platform DIGIMAT was employed to construct the coincident group. The representative volume element (RVE) model of the mineral microstructure is divided, and the in-situ crushing simulation of the ore RVE model is carried out through the DIGIMAT-ABAQUS coupling. It is suggested by these results that: (1) The useful minerals in the studied wolframite ore are distributed in granular form inside the ore, mainly in the quartz mineral and the bonding interface with the siliceous rock mineral. (2) The mechanical properties of the bonding interface with different components are related to the physical properties and morphological characteristics of the constituent minerals. The minimum fracture stress range of the quartz-siliceous rock interface is 1.1785–1.4820 GPa, and the minimum fracture stress range of the quartz-tungsten interface is 1.3355–1.5420 GPa; (3) Although the peak stress of ore crushing has no obvious effect when the loading rate is 0.010 or 0.005 kN/s, it has a greater impact on the internal deformation of the ore. When the loading rate is 0.010 kN/s, the stress suddenly decreased and constantly fluctuated during the strengthening stage. (4) The damage caused by in-situ loading mainly occurs at the boundary of the loading area. The fracture mechanical characteristics of quartz minerals in the two sets of interfaces are greater than that of tungsten minerals and siliceous rock minerals. Quartz minerals in the interface composition minerals are preferentially formed and destroyed.
- mineral interface /
- representative volume element model /
- fracture characteristics /
- lithofacies analysis

HTML全文

图 1 处理前黑钨矿石试样

Figure 1. Wolframite ore sample before treatment

下载: 全尺寸图片幻灯片

图 2 黑钨矿石内部钨颗粒岩相

Figure 2. Tungsten granular facies inside wolframite

下载: 全尺寸图片幻灯片

图 3 石英和硅质岩的断裂界面

Figure 3. Quartz and siliceous rock interface fracture map

下载: 全尺寸图片幻灯片

图 4 原位加载实验装置

Figure 4. In-situ loading experimental device

下载: 全尺寸图片幻灯片

图 5 自制原位加载压头示意图（单位：mm）

Figure 5. Sketch map of self-made in-situ loading indenter (Unit: mm)

下载: 全尺寸图片幻灯片

图 6 原位加载实验示意图

Figure 6. Schematic diagram of in-situ loading experiment

下载: 全尺寸图片幻灯片

图 7 不同加载速率下石英-硅质岩组分界面的应力-应变曲线

Figure 7. Stress-strain curves of quartz-siliceous rock component interface under different loading rates

下载: 全尺寸图片幻灯片

图 8 不同加载速率下石英-钨组分界面的应力-应变曲线

Figure 8. Stress-strain curves of quartz-tungsten component interface under different loading rates

下载: 全尺寸图片幻灯片

图 9 三维矿石RVE模型和网格模型

Figure 9. 3D ore RVE model and mesh model

下载: 全尺寸图片幻灯片

图 10 石英-硅质岩界面原位加载模拟结点的应力、应变分布

Figure 10. Stress and strain distributions of in-situ loading simulation node of the quartz-siliceous rock interface

下载: 全尺寸图片幻灯片

图 11 石英-钨界面原位加载模拟结点的应力、应变分布

Figure 11. Stress and strain distributions of in-situ loading simulation node of the quartz-tungsten interface

下载: 全尺寸图片幻灯片

表 1 钨颗粒的特征尺寸

Table 1. Characteristic sizes of different tungsten particles

W particle No.	Length/mm	Width/mm	Perimeter/mm	Area/mm²
1	1.609	1.509	6.990	1.2295
2	2.966	2.144	10.980	3.6125
3	2.645	2.233	13.930	2.8330
4	1.849	1.186	7.634	2.3356
5	0.922	0.137	2.230	0.0703
6	1.198	0.775	4.720	0.4160
7	1.047	0.622	3.442	0.6056
8	1.040	0.674	3.436	0.6587

下载: 导出CSV

表 2 矿物界面的最小破碎应力

Table 2. Minimum fracture stress of component mineral interface

Interface types	Minimum fracture stress/GPa
Interface types	1	2	3	4	5	6	7	8
Quartz-siliceous rock interface	1.4034	1.1785	1.3355	1.2732	1.2845	1.3171	1.4784	1.4826
Quartz-tungsten interface	1.5420	1.4373	1.4458	1.4671	1.3638	1.3355	1.4317	1.4571

下载: 导出CSV

表 3 不同黑钨矿石矿物组分的材料属性

Table 3. Mineral material properties of different wolframite components

Mineral	Density/(g·cm⁻³)	Poisson’s ratio	Elastic modulus/GPa	Constitutive model	Structural symmetry
Quartz	2.65	0.13	4	Elastoplastic	Isotropic
Siliceous rock	2.72	0.23	5	Elastoplastic	Isotropic
Tungsten	7.25	0.20	35	Elastoplastic	Isotropic

下载: 导出CSV

表 4 内含物的形态参数

Table 4. Inclusion morphological parameters

Mineral	Shape	Volume fraction	Aspect ratio	Diameter/cm
Siliceous rock	Cylinder	0.50	2
Tungsten	Ellipsoid	0.05	1	0.2

下载: 导出CSV

表 5 石英-硅质岩界面结点的应力和应变

Table 5. Quartz-siliceous rock interface junction stress and strain

Area of loading	Node No.	Stress/GPa	Strain/10⁻⁴	Area of loading	Node No.	Stress/GPa	Strain/10⁻⁴
Boundary	11598	1.39879	1.32	Internal	60752	1.54668	0.12
	11605	1.40542	1.28		60753	1.61314	0.14
	11610	1.40867	1.30		*61394	1.58947	0.26
	11612	1.15526	1.06		*61396	1.21756	0.09
	11613	1.69745	1.53		*61398	1.36577	0.09
	60746	1.45794	1.48		*61400	1.62167	0.30
	60747	1.63980	1.53	External	*61390	0.24988	0.42
	60748	1.65526	1.61		*61404	0.23054	0.38
	60749	1.61249	1.58		11597	0.42094	0.63
	60754	1.53791	1.42		11601	0.24354	0.63
	*61392	1.33085	1.35		11604	0.32136	0.47
	*61402	1.19414	1.29		60745	0.37922	0.62
Internal	11599	1.38796	0.47		60750	0.52646	0.87
	11608	1.61647	0.54		60755	0.29399	0.55
	11609	1.30032	0.25		60759	0.36765	0.69
	60751	1.61276	0.26		61520	0.41291	0.72

下载: 导出CSV

表 6 石英-钨界面结点的应力和应变

Table 6. Quartz-tungsten interface junction stress and strain

Area of loading	Node No.	Stress/GPa	Strain/10⁻⁴	Area of loading	Node No.	Stress/GPa	Strain/10⁻⁴
Boundary	36367	1.54842	0.21	Internal	60830	1.96183	0.54
	36369	1.58328	0.24		*61349	1.42606	1.89
	36370	1.85187	0.28		*61351	1.61453	1.84
	60813	1.72878	1.59		*61353	1.26790	1.46
	60814	1.98327	2.18	External	60810	0.31663	0.54
	60815	1.51771	1.55		60812	0.37034	0.64
	60828	1.91692	1.96		60826	0.41069	0.71
	60831	2.00689	2.53		60829	0.50412	0.85
	60836	2.00115	2.31		61359	0.58631	1.02
	*61347	0.96973	1.13		61361	0.52418	0.85
	*61355	1.48255	1.90		*61333	0.57504	0.72
Internal	36366	1.59434	0.09		*61343	0.51355	0.57
	60816	1.72296	0.46		*61345	0.67765	0.95
	60817	2.14309	0.82		*61357	1.13598	1.54

下载: 导出CSV

参考文献(11)

[1]	张成良, 刘磊, 王超. 高等岩石力学及工程应用 [M]. 长沙: 中南大学出版社, 2016. ZHANG C L, LIU L, WANG C. Advanced rock mechanics and engineering application [M]. Changsha: Central South University Press, 2016.
[2]	GAUDIN A M. Principles of mineral dressing [M]. New York: McGraw-Hill, 1939: 70−89.
[3]	王雅蓉, 周乐光. 相界特征对矿物单体解离度的影响 [J]. 东北大学学报(自然科学版), 1996, 17(3): 88–92. WANG Y R, ZHOU L G. Effects of interfacial characteristics on mineral liberation [J]. Journal of Northeastern University (Natural Science), 1996, 17(3): 88–92.
[4]	刘建远, 应平. 颗粒床压载粉碎对某硫化铜矿石矿物解离的影响 [J]. 有色金属(选矿部分), 2018(5): 81–87. doi: 10.3969/j.issn.1671-9492.2018.05.016 LIU J Y, YING P. Impact of comminution by particle-bed compressive stressing on mineral liberation of a copper sulfide ore [J]. Nonferrous Metals (Mineral Processing Section), 2018(5): 81–87. doi: 10.3969/j.issn.1671-9492.2018.05.016
[5]	SUN W J, WANG L B, WANG Y Q. Mechanical properties of rock materials with related to mineralogical characteristics and grain size through experimental investigation: a comprehensive review [J]. Frontiers of Structural and Civil Engineering, 2017, 11(3): 322–328. doi: 10.1007/s11709-017-0387-9
[6]	杨小彬, 周杰, 宋义敏, 等. 循环加载岩石界面滑移位移演化特征试验研究 [J]. 煤炭学报, 2019, 44(10): 3041–3048. doi: 10.13225/j.cnki.jccs.2018.1579 YANG X B, ZHOU J, SONG Y M, et al. Evolution characteristics of sliding displacement of rock interface under cyclic loading [J]. Journal of China Coal Society, 2019, 44(10): 3041–3048. doi: 10.13225/j.cnki.jccs.2018.1579
[7]	ALNEASAN M, BEHNIA M, BAGHERPOUR R. Analytical investigations of interface crack growth between two dissimilar rock layers under compression and tension [J]. Engineering Geology, 2019, 259: 105188. doi: 10.1016/j.enggeo.2019.105188
[8]	蔡改贫, 赵小涛. 基于细观力学的矿石颗粒破碎特性研究 [J]. 应用力学学报, 2020, 37(4): 1792–1797. doi: 10.11776/cjam.37.04.B097 CAI G P, ZHAO X T. Study on the fracture characteristics of ore particles based on micromechanics [J]. Chinese Journal of Applied Mechanics, 2020, 37(4): 1792–1797. doi: 10.11776/cjam.37.04.B097
[9]	王光勇, 余锐, 马东方, 等. 饱水细砂岩动态抗拉与抗压强度试验对比研究 [J]. 高压物理学报, 2020, 34(4): 044101. doi: 10.11858/gywlxb.20190857 WANG G Y, YU R, MA D F, et al. Comparative study on dynamic tensile and compressive strength of the saturated fine sandstone [J]. Chinese Journal of High Pressure Physics, 2020, 34(4): 044101. doi: 10.11858/gywlxb.20190857
[10]	纪杰杰, 李洪涛, 吴发名, 等. 冲击荷载作用下岩石破碎分形特征 [J]. 振动与冲击, 2020, 39(13): 176–183, 214. doi: 10.13465/j.cnki.jvs.2020.13.026 JI J J, LI H T, WU F M, et al. Fractal characteristics of rock fragmentation under impact load [J]. Journal of Vibration and Shock, 2020, 39(13): 176–183, 214. doi: 10.13465/j.cnki.jvs.2020.13.026
[11]	蔡改贫, 宣律伟, 张雪涛, 等. 多尺度内聚颗粒模型破碎过程研究 [J]. 岩土力学, 2020, 41(6): 1809–1817. doi: 10.16285/j.rsm.2019.1218 CAI G P, XUAN L W, ZHANG X T, et al. Investigation into the crushing process in multi-scale cohesive particle model [J]. Rock and Soil Mechanics, 2020, 41(6): 1809–1817. doi: 10.16285/j.rsm.2019.1218