用CSTBD试样确定砂岩的动态起裂和扩展韧度

杨井瑞; 张财贵; 周妍; 王启智

doi:10.11883/1001-1455(2014)03-0264-08

用CSTBD试样确定砂岩的动态起裂和扩展韧度

doi: 10.11883/1001-1455(2014)03-0264-08

四川大学土木工程及应用力学系，四川成都 610065

基金项目: 国家自然科学基金项目(51179115)

详细信息

作者简介:
杨井瑞(1989—), 男, 硕士研究生

中图分类号: O348.3;TU435
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出版历程
- 收稿日期: 2012-11-22
- 刊出日期: 2014-05-25

Determination of dynamic initiation toughness and propagation toughness of sandstone using CSTBD specimens

Department of Civil Engineering and Applied Mechanics, Sichuan University, Chengdu 610065, Sichuan, China

Funds: Supported by the National Natural Science Foundation of China (51179115)

More Information

Corresponding author: Wang Qi-zhi, qzwang2004@163.com

摘要

摘要: 利用大直径霍普金森压杆径向冲击中心直裂纹巴西圆盘(CSTBD)砂岩试样，完成Ⅰ型动态断裂实验。利用实验-数值方法确定了不同动态加载率下砂岩的动态起裂韧度；结合实验-数值法以及普适函数确定了不同裂纹扩展速度下砂岩的动态扩展韧度。为验证普适函数法和实验-数值法的有效性，将实验所得结果与其他学者的研究成果进行了对比分析，得到了相同的规律。所确定的岩石动态起裂韧度和动态扩展韧度分别随动态加载率的提高和裂纹扩展速度的提高而增加。
- 固体力学 /
- 动态起裂韧度 /
- 动态扩展韧度 /
- 实验-数值法 /
- 普适函数 /
- 中心直裂纹巴西圆盘
Abstract: The CSTBD (cracked straight-through Brazilian disc) specimens of sandstone were diametrically impacted by the split Hopkinson pressure bar of large diameter in the mode-Ⅰ (opening mode) rock dynamic fracture test.The experimental-numerical method was employed to obtain the dynamic initiation toughness under different dynamic loading rates; and based on some theoretical analysis and reasonable simplification, the experimental-numerical method and universal function were employed to obtain the dynamic propagation toughness with different crack velocities.In order to verify the validity of the universal function and the experimental-numerical method, comparisons with well-established references of concern were made, and our results present the same law of phenomena as those derived from other researchers.Increases in the dynamic initiation toughness and the dynamic propagation toughness were observed with increasing dynamic loading rate and crack tip speed, respectively.
- solid mechanics /
- dynamic initiation toughness /
- dynamic propagation toughness /
- experimental-numerical method /
- universal function /
- cracked straight-through Brazilian disc (CSTBD)

HTML全文

图 1 CSTBD试样

Figure 1. CSTBD specimen

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图 2 SHPB加载装置示意图

Figure 2. Schematic diagram of SHPB loading device

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图 3 CSTBD-1-3试样叠加后的加载波形

Figure 3. Superposed loading wave of CSTBD-1-3

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图 4 CSTBD-1-3试样t_f、t_p和t_f-p的确定

Figure 4. Determination for t_f, t_p and t_f-p of CSTBD-1-3

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图 5 CSTBD的有限元1/2模型

Figure 5. Half finite element models of CSTBD

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图 6 裂尖坐标和1/4节点奇异单元

Figure 6. Crack tip coordinate system and singular element with quarter points

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图 7 实验-数值法所得CSTBD-1-3的计算结果

Figure 7. Results of CSTBD-1-3 by experimental-numerical method

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图 8 实验-数值法所得动态起裂韧度与动态加载率

Figure 8. Dynamic initiation toughness and dynamic loading rate obtained by experimental-numerical method

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图 9 实验-数值法所得扩展断裂韧度和扩展速度

Figure 9. Crack growth toughness and crack speed obtained by experimental-numerical method

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表 1 CSTBD试样的实验数据

Table 1. Experimental data of the CSTBD specimens

试样	t_f/μs	t_p/μs	t′_f/μs	t_f-p/μs	v_a/(m·s^-1)	k(v_a)
CSTBD-1-3	143.7	170.9	171.5	27.2	367.6	0.799
CSTBD-1-4	134.0	158.5	168.2	24.5	408.1	0.775
CSTBD-2-1	129.4	154.1	149.1	24.7	404.9	0.777
CSTBD-2-2	127.6	152.1	153.4	24.5	408.1	0.775
CSTBD-2-3	132.2	160.8	162.4	28.6	349.7	0.810
CSTBD-3-1	131.3	160.6	169.1	29.3	341.3	0.815
CSTBD-3-2	125.1	150.0	164.5	24.9	401.6	0.779
CSTBD-3-3	122.7	148.8	166.1	26.1	383.1	0.790

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表 2 CSTBD试样的计算结果

Table 2. Results of the CSTBD specimens

试样	K_Ⅰ⁰/ (MPa·m^1/2)	K_ⅠC^d/ (MPa·m^1/2)	K_ⅠC^D/ (MPa·m^1/2)	K_ⅠC^D^[9]/ (MPa·m^1/2)	e/ %	$\dot{K}_{\mathrm{I}} / $ (GPa·m^1/2·s^-1)
CSTBD-1-3	17.192	13.736	12.766	12.763	0.02	88.84
CSTBD-1-4	16.094	12.473	10.318	10.117	1.99	77.00
CSTBD-2-1	21.619	16.798	16.301	16.745	-2.65	125.97
CSTBD-2-2	23.250	18.019	17.812	17.326	2.81	139.59
CSTBD-2-3	17.926	14.520	14.244	14.391	-1.02	107.75
CSTBD-3-1	19.005	15.489	17.060	17.098	-0.22	129.93
CSTBD-3-2	19.175	14.937	14.372	14.345	0.19	114.88
CSTBD-3-3	18.553	14.657	13.151	12.958	1.49	107.18
e=(K_ⅠC^D－K_ⅠC^D^[9])/K_ⅠC^D^[9]。

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