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In order to study the energy evolution and fracture characteristics of sandwich composite rocks under impact loads, six sets of sandwich composite rock specimens were created using three materials: sandstone, marble, and granite. Dynamic fracture impact tests were then conducted using the Hopkinson pressure bar system to analyze crack propagation morphology, stress wave waveform characteristics, crack tip stress field, and energy loss relationship. The DLSM simulation results were also used to analyze the propagation law of stress waves and the evolution process of kinetic energy during dynamic fracture processes. The results showed a good fit between the dynamic fracture process captured by high-speed cameras and the crack propagation process simulated by DLSM. It was observed that the occurrence of cracks depends on the failure of weak bedding planes. Under the same impact conditions, the lower the strength of the weak bedding planes, the shorter and more advanced the crack propagation time, and the more energy is used for crack propagation. Additionally, under the same incident energy conditions, using a specimen with higher hardness as the impact end material results in a stronger reflection effect, greater reflection energy, weaker transmission effect, smaller transmission energy, and greater energy dissipation of the specimen. The bedding plane was found to have a significant hindering effect on the propagation of stress waves.
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为研究冲击荷载下夹层复合岩石能量演化及断裂特征,选用砂岩、大理岩和花岗岩3种材料制成6组不同的夹层复合岩石试件,利用霍普金森压杆系统进行动态断裂冲击试验,研究不同复合岩石试件的裂纹扩展形态、应力波波形特征、裂纹尖端应力场和能量损耗关系,同时结合DLSM模拟结果,分析动态断裂过程中的应力波传播规律以及动能演化过程。结果表明:高速相机拍摄的动态断裂过程与DLSM模拟裂纹扩展过程具有良好的拟合度;裂纹的产生情况取决于层理弱面的破坏情况,相同冲击条件下,仅层理弱面不同的试件,层理弱面强度越低,裂纹扩展的时间越短且越靠前,夹层材料硬度越小,用于裂纹扩展的能量越多;在相同入射能量条件下,硬度较大的试件作为冲击端材料时,试件的反射作用较强,反射能量较大,透射作用较弱,透射能量较小,试件的能量耗散较大;层理面对应力波传播具有明显的阻碍作用,产生的透射波在尖端积蓄能量直至切缝起裂,试件综合硬度增大后,透射波明显减弱,并且传播速度减缓。
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刘小庆(1987-),男,工程师,主要从事煤炭开采设计和矿井水保护,(E-mail)252204625@qq.com。
LIU Xiao-qing (1987-), male, engineer, mainly engaged in coal mining design and mine water protection, (E-mail) 252204625@qq.com.
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1, 2, 3, address=
1.Guoneng Shendong Coal Technology Research Institute, Yulin 719000, China
2.State Key Laboratory of Water Resources Protection and Utilization in Coal Mining, Beijing 102211, China
3.National Institute of Clean and Low Carbon Energy, Beijing 102211, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1241756513535062575, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, authorId=1241756513195323928, language=CN, stringName=刘小庆, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=
1, 2, 3, address=
1.国能神东煤炭技术研究院,榆林 719000
2.煤炭开采水资源保护与利用全国重点实验室,北京 102211
3.北京低碳清洁能源研究院,北京 102211, bio={"content":"
刘小庆(1987-),男,工程师,主要从事煤炭开采设计和矿井水保护,(E-mail)252204625@qq.com。
LIU Xiao-qing (1987-), male, engineer, mainly engaged in coal mining design and mine water protection, (E-mail) 252204625@qq.com.
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刘小庆(1987-),男,工程师,主要从事煤炭开采设计和矿井水保护,(E-mail)252204625@qq.com。
LIU Xiao-qing (1987-), male, engineer, mainly engaged in coal mining design and mine water protection, (E-mail) 252204625@qq.com.
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4.School of Mechanics and Civil Engineering, China University of Mining & Technology-Beijing, Beijing 100083, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1241756513866412616, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, authorId=1241756513639920185, language=CN, stringName=宋佳辉, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=
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4.School of Mechanics and Civil Engineering, China University of Mining & Technology-Beijing, Beijing 100083, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1241756515674157663, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, authorId=1241756515334419025, language=CN, stringName=张瑶瑶, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=
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4.中国矿业大学(北京) 力学与土木工程学院,北京 100083, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1241756513077883405, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, xref=4., ext=[AuthorCompanyExt(id=1241756513086272015, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, companyId=1241756513077883405, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=
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4.School of Mechanics and Civil Engineering, China University of Mining & Technology-Beijing, Beijing 100083, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1241756516798231224, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, authorId=1241756516567544485, language=CN, stringName=王雁冰, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=
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3.National Institute of Clean and Low Carbon Energy, Beijing 102211, China), AuthorCompanyExt(id=1241756512985608713, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, companyId=1241756512968831494, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=
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4.中国矿业大学(北京) 力学与土木工程学院,北京 100083)])], figs=[ArticleFig(id=1241756519922987887, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=EN, label=Fig. 1, caption=
Schematic diagram of the SHPB system, figureFileSmall=yS54YslfxYW5r/+s+6EN0Q==, figureFileBig=ndgKEjqOtB3hnfuz/mvSJA==, tableContent=null), ArticleFig(id=1241756520002679672, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=CN, label=图1, caption=
SHPB系统示意图, figureFileSmall=yS54YslfxYW5r/+s+6EN0Q==, figureFileBig=ndgKEjqOtB3hnfuz/mvSJA==, tableContent=null), ArticleFig(id=1241756520220783501, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=EN, label=Fig. 2, caption=
Schematic diagram of intercalated composite rock specimen (unit: mm), figureFileSmall=cfwQHXZ3/wkpfQxvCjSgnA==, figureFileBig=XGkJe9tPk9iMLN/2DrgRUA==, tableContent=null), ArticleFig(id=1241756520338224023, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=CN, label=图2, caption=
夹层复合岩石试件示意图(单位:mm), figureFileSmall=cfwQHXZ3/wkpfQxvCjSgnA==, figureFileBig=XGkJe9tPk9iMLN/2DrgRUA==, tableContent=null), ArticleFig(id=1241756520447275938, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=EN, label=Fig. 3, caption=
Crack growth diagram of sandwich composite specimen, figureFileSmall=PZsnfRuweCUwtKRPUxq3Xg==, figureFileBig=/V0A2Y0iLjr+6UkoyjWORQ==, tableContent=null), ArticleFig(id=1241756520585687980, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=CN, label=图3, caption=
夹层复合试件裂纹扩展图, figureFileSmall=PZsnfRuweCUwtKRPUxq3Xg==, figureFileBig=/V0A2Y0iLjr+6UkoyjWORQ==, tableContent=null), ArticleFig(id=1241756520686351282, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=EN, label=Fig. 4, caption=
The Stress intensity factor time-history curve of sandwich composite specimens, figureFileSmall=wG8FZTTDkKDVNOjEVStWmQ==, figureFileBig=1q/nb6NR7J6e4Nd5d6Im5g==, tableContent=null), ArticleFig(id=1241756520778625981, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=CN, label=图4, caption=
夹层复合试件的应力强度因子时程曲线, figureFileSmall=wG8FZTTDkKDVNOjEVStWmQ==, figureFileBig=1q/nb6NR7J6e4Nd5d6Im5g==, tableContent=null), ArticleFig(id=1241756520879289288, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=EN, label=Fig. 5, caption=
The reflection, transmission and dissipative energy ratios of sandwich composite specimens are related to the variety of specimens, figureFileSmall=4MAojYN6I7k5C95dGh8s/w==, figureFileBig=LyqGN3qRAFAdVAn6gj7ypQ==, tableContent=null), ArticleFig(id=1241756520984146896, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=CN, label=图5, caption=
夹层复合试件反射、透射和耗散能量比与试件种类的变化关系, figureFileSmall=4MAojYN6I7k5C95dGh8s/w==, figureFileBig=LyqGN3qRAFAdVAn6gj7ypQ==, tableContent=null), ArticleFig(id=1241756521156113368, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=EN, label=Fig. 6, caption=
Numerical simulation of dynamic crack growth process in the sandwich composite specimens, figureFileSmall=qy0hxWfLUkVQMH1Gk7BocA==, figureFileBig=CMgTXpnxEbOFbUXkcznVSQ==, tableContent=null), ArticleFig(id=1241756521252582368, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=CN, label=图6, caption=
夹层复合试件的动态裂纹扩展过程数值模拟, figureFileSmall=qy0hxWfLUkVQMH1Gk7BocA==, figureFileBig=CMgTXpnxEbOFbUXkcznVSQ==, tableContent=null), ArticleFig(id=1241756521386800104, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=EN, label=Fig. 7, caption=
Stress wave propagation nephogram of the sandwich specimen during elastic deformation, figureFileSmall=LycefSpABfLnk97Hbt6MOw==, figureFileBig=WrGEjwjrFk70TSJA87r+Lw==, tableContent=null), ArticleFig(id=1241756521521017843, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=CN, label=图7, caption=
夹层试件弹性变形阶段应力波传播云图, figureFileSmall=LycefSpABfLnk97Hbt6MOw==, figureFileBig=WrGEjwjrFk70TSJA87r+Lw==, tableContent=null), ArticleFig(id=1241756521634264057, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=EN, label=Fig. 8, caption=
Transmitted wave signal, figureFileSmall=J2/qs8Dynlll1ciP3e8W2w==, figureFileBig=/B6VYFGLycl8EBssO3vC4A==, tableContent=null), ArticleFig(id=1241756521768480771, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=CN, label=图8, caption=
透射波信号, figureFileSmall=J2/qs8Dynlll1ciP3e8W2w==, figureFileBig=/B6VYFGLycl8EBssO3vC4A==, tableContent=null), ArticleFig(id=1241756521864949769, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=EN, label=Fig. 9, caption=
Kinetic energy evolution curve of intercalated rocks, figureFileSmall=h9gtIYnjVW6gjgqO+PshGg==, figureFileBig=o5VRSHqMWdT5Cm59lgUupA==, tableContent=null), ArticleFig(id=1241756521953030160, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=CN, label=图9, caption=
夹层岩石动能演化曲线, figureFileSmall=h9gtIYnjVW6gjgqO+PshGg==, figureFileBig=o5VRSHqMWdT5Cm59lgUupA==, tableContent=null), ArticleFig(id=1241756522053693463, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=EN, label=Table 1, caption=
Sample grouping
, figureFileSmall=null, figureFileBig=null, tableContent=
| 编号 | 试件名称 | 夹层材料 | 试件材料 | 两端材料 |
|---|
| (a) | DSD | 砂岩 | 大理岩-砂岩-大理岩 | 大理岩 |
| (b) | DHD | 花岗岩 | 大理岩-花岗岩-大理岩 |
| (c) | SDS | 大理岩 | 砂岩-大理岩-砂岩 | 砂岩 |
| (d) | SHS | 花岗岩 | 砂岩-花岗岩-砂岩 |
| (e) | HDH | 大理岩 | 花岗岩-大理岩-花岗岩 | 花岗岩 |
| (f) | HSH | 砂岩 | 花岗岩-砂岩-花岗岩 |
), ArticleFig(id=1241756522141773853, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=CN, label=表1, caption=
试件分组情况
, figureFileSmall=null, figureFileBig=null, tableContent=
| 编号 | 试件名称 | 夹层材料 | 试件材料 | 两端材料 |
|---|
| (a) | DSD | 砂岩 | 大理岩-砂岩-大理岩 | 大理岩 |
| (b) | DHD | 花岗岩 | 大理岩-花岗岩-大理岩 |
| (c) | SDS | 大理岩 | 砂岩-大理岩-砂岩 | 砂岩 |
| (d) | SHS | 花岗岩 | 砂岩-花岗岩-砂岩 |
| (e) | HDH | 大理岩 | 花岗岩-大理岩-花岗岩 | 花岗岩 |
| (f) | HSH | 砂岩 | 花岗岩-砂岩-花岗岩 |
), ArticleFig(id=1241756522259214373, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=EN, label=Table 2, caption=
Physical and mechanical parameters of test materials
, figureFileSmall=null, figureFileBig=null, tableContent=
| 岩石材料 | 密度/(kg·m-3) | 泊松比 | 弹性模量/GPa |
|---|
| 大理岩 | 2500 | 0.30 | 3.0 |
| 砂岩 | 2600 | 0.24 | 4.6 |
| 花岗岩 | 3000 | 0.20 | 18.4 |
), ArticleFig(id=1241756522389237807, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=CN, label=表2, caption=
试验材料物理力学参数
, figureFileSmall=null, figureFileBig=null, tableContent=
| 岩石材料 | 密度/(kg·m-3) | 泊松比 | 弹性模量/GPa |
|---|
| 大理岩 | 2500 | 0.30 | 3.0 |
| 砂岩 | 2600 | 0.24 | 4.6 |
| 花岗岩 | 3000 | 0.20 | 18.4 |
), ArticleFig(id=1241756522460540979, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=EN, label=Table 3, caption=
Energy to energy ratio of sandwich composite specimen
, figureFileSmall=null, figureFileBig=null, tableContent=
| 试件种类 | 入射能EI/J | 反射能ER/J | 透射能ET/J | 耗散能量ED/J | 反射ER/EI | 透射波T/EI | 能量耗散比D/EI |
|---|
| SDS | 29.46 | 7.22 | 8.24 | 14.01 | 24.48% | 27.95% | 47.55% |
| DSD | 32.25 | 9.49 | 9.44 | 13.32 | 29.41% | 29.28% | 41.30% |
| SHS | 30.87 | 7.90 | 11.85 | 11.11 | 25.60% | 38.39% | 35.99% |
| HSH | 30.50 | 6.30 | 9.38 | 14.82 | 20.65% | 30.74% | 48.59% |
| DHD | 36.87 | 11.83 | 11.69 | 13.35 | 32.07% | 31.70% | 36.21% |
| HDH | 35.05 | 8.97 | 10.15 | 15.93 | 25.59% | 28.95% | 45.44% |
), ArticleFig(id=1241756522569592895, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241756507776282989, language=CN, label=表3, caption=
夹层复合试件的能量与能量比值
, figureFileSmall=null, figureFileBig=null, tableContent=
| 试件种类 | 入射能EI/J | 反射能ER/J | 透射能ET/J | 耗散能量ED/J | 反射ER/EI | 透射波T/EI | 能量耗散比D/EI |
|---|
| SDS | 29.46 | 7.22 | 8.24 | 14.01 | 24.48% | 27.95% | 47.55% |
| DSD | 32.25 | 9.49 | 9.44 | 13.32 | 29.41% | 29.28% | 41.30% |
| SHS | 30.87 | 7.90 | 11.85 | 11.11 | 25.60% | 38.39% | 35.99% |
| HSH | 30.50 | 6.30 | 9.38 | 14.82 | 20.65% | 30.74% | 48.59% |
| DHD | 36.87 | 11.83 | 11.69 | 13.35 | 32.07% | 31.70% | 36.21% |
| HDH | 35.05 | 8.97 | 10.15 | 15.93 | 25.59% | 28.95% | 45.44% |
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