Yong Li
Professor
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Personal Information:
  • Name (English):
    Yong Li
  • Name (Pinyin):
    liyong
  • Date of Employment:
    2010-01-18
  • School/Department:
    School of Qilu Transportation
  • Administrative Position:
    Deputy Head
  • Education Level:
    With Certificate of Graduation for Doctorate Study
  • Business Address:
    Room 216, Building #8, 17923 Jingshi Rd., Qianfoshan Campus, Shandong University, Jinan, Shandong Province, P.R.China
  • Gender:
    Male
  • Contact Information:
    +86-531-8839-9320
  • Degree:
    Doctoral Degree in Engineering
  • Status:
    Employed
  • Academic Titles:
  • Other Post:
    民盟盟员
  • Alma Mater:
    Shandong University
  • Supervisor of Doctorate Candidates
  • Supervisor of Master's Candidates
Discipline:
Geotechnical Engineering;
Honors and Titles:

2018    中国岩石力学与工程学会科技进步一等奖;
2016    山东大学青年教师讲课比赛三等奖;
2010    中国岩石力学与工程学会优秀博士论文提名奖;
Biography

Dr. Yong Li is a full professor in Geotechnical Engineering at Department of Urban Underground Space and Engineering at School of Qilu Transportation, Shandong University. He received his Ph.D. degree in Engineering Mechanics from Shandong University in 2009 and then worked as a faculty member at Shandong University. He used to be a visiting scholar in the University of Kansas from Oct. 2007 to Oct. 2018 and in the University of Minnesota at Twin Cities from Aug. 2017 to Aug. 2018. His research has focused on physical and numerical modelling in geotechnical engineering, surrounding rock mass stability and excavation optimization analysis, mechanical behaviors of jointed rock mass, crack propagation mechanism of brittle materials and hydraulic fracturing in fractured rock mass. He has published more 80 technical papers in journals and conference proceedings.


Education
  • 2006-12 — 2009-12
    山东大学
    工程力学
    Doctor
  • 2003-9 — 2006-6
    山东大学
    岩土工程
    Master's Degree in Engineering
  • 1999-9 — 2003-6
    山东大学
    土木工程
    Bachelor's Degree in Engineering
  • 1996-9 — 1999-6
    湖北省天门中学
Publication
Papers

1. 殷付通. Mechanical behaviors and failure mechanism of flawed sandstone containing infillings under freeze-thaw cycles and uniaxial compression .THEORETICAL AND APPLIED FRACTURE MECHANICS Journal.2023 (126)

2. 李勇. Experimental investigation on mechanical properties and failure mechanism of rock-like specimens containing an arc-shaped ice-filled flaw under uniaxial compression .Theoretical and Applied Fracture Mechanics.2022,119 (103368)

3. 李勇. Crack propagation mechanism of rock-like specimens containing non-parallel flaws subjected to internal hydraulic pressure and shear loading .Theoretical and Applied Fracture Mechanics.2022,119 (103350)

4. 李勇. Experimental and numerical investigations on crack propagation characteristics of rock-like specimens with preexisting flaws subjected to combined actions of internal hydraulic pressure and shear force .ARCHIVE OF APPLIED MECHANICS.2022,92 (1):221

5. 李勇. Crack propagation mechanism in rock-like specimens containing intermittent flaws under shear loading .THEORETICAL AND APPLIED FRACTURE MECHANICS Journal.2022,117 (1)

6. 汪志恒. Crack propagation process and acoustic emission characteristics of rock-like specimens with double parallel flaws under uniaxial compression .THEORETICAL AND APPLIED FRACTURE MECHANICS Journal.2021,114

7. 刘众众. A new test method and system for the circumferential deformation of cylindrical standard specimens in geotechnical mechanics and its application .Measurement: Journal of the International Measurement Confederation.2020,149

8. 李勇. The Microscopic Mechanism of Crack Evolution in Brittle Material Containing 3-D Embedded Flaw .Rock Mechanics and Rock Engineering.2020,53 (11):5239

9. 李勇. The crack coalescence mode and physical field evolutionary characteristics of a brittle material containing two 3-D parallel embedded flaws .THEORETICAL AND APPLIED FRACTURE MECHANICS Journal.2020,110 (6):1

10. 李勇. 水压作用含贯穿裂隙类岩石试件力学性能研究 .地下空间与工程学报.2020,16 (1):64

11. 李勇. Experimental observation and numerical investigation on propagation and coalescence process of multiple flaws in rock-like materials subjected to hydraulic pressure and far-field stress .Theoretical and Applied Fracture Mechanics.2020,108 (8):1

12. 魏超. Experimental observation and numerical investigation on propagation and coalescence process of multiple flaws in rock-like materials subjected to hydraulic pressure and far-field stress .THEORETICAL AND APPLIED FRACTURE MECHANICS Journal.2020,108

13. 李勇. Stability monitoring of surrounding rock mass on a forked tunnel using both strain gauges and FBG sensors .Measurement: Journal of the International Measurement Confederation.2020,153

14. 李勇. Stability monitoring of surrounding rock mass on a forked tunnel using both strain gauges and FBG sensors .Measurement: Journal of the International Measurement Confederation.2020,153 (3):1

15. 李勇. 单轴压缩下三维裂纹扩展机理试验与离散元分析 .长江科学院院报.2020,37 (10):96

16. 李勇. 水力耦合作用下裂纹扩展演化机理的试验和颗粒流分析 .工程科学与技术.2020,52 (3):21

17. 刘众众. A new test method and system for the circumferential deformation of cylindrical standard specimens in geotechnical mechanics and its application .Measurement.2020,149

18. Yong Li , zhuweishen , zhangqiangyong  and 李勇. 单轴压缩条件下平行双裂隙演化机理的颗粒流分析 .中南大学学报(自然科学版).2019

19. Yong Li , zhuweishen , zhangqiangyong , wangshugang  and 李勇. Experimental and DEM Analysis on Secondary Crack Types of Rock-Like Material Containing Multiple Flaws Under Uniaxial Compression .Applied Sciences.2019

20. Yong Li , zhuweishen , wangshugang  and 李勇. 岩石倾斜裂隙与水平裂隙扩展贯通试验及数值模拟研究 .《岩土力学》.2019

21. Yong Li , zhuweishen , lishucai , wangshugang  and 李勇. Numerical investigations on stability evaluation of a jointed rock slope during excavation using an optimized DDARF method .Geomechanics and Engineering.2018,59 (3):271

22. zhuweishen , Yong Li , lishucai , zhangqiangyong  and Wang Hanpeng. 静态电阻与光纤应变测试技术在岩土地质力学模型试验中的应用 .山东大学学报(工学版).2009,0 (0):500

23. Wang Hanpeng , liujian , lishucai , zhangqingsong  and Yong Li. An elasto-plastic damage constitutive model for jointed rock mass with an application .Geomechanics and Engineering: an International Journal.2016,11 (1):77

24. zhuweishen , Yong Li  and lishucai. Design and manufacture of a new large-scale three-dimensional geomechanics model test system .Advanced Materials research.2010,97-101 (0):2770

25. Yong Li , lishucai , Wang Hanpeng  and 李勇. A new mini-grating absolute displacement measuring system for static and dynamic geomechanical model tests .Measurement: Journal of the International Measurement Confederation.2017

26. Yong Li , zhuweishen , lishucai , liujian  and 李勇. An experimental investigation on mechanical property and anchorage effect of bolted jointed rock mass .Geosciences Journal.2017

27. Yong Li , zhuweishen , Xue Yiguo , jiangbei  and 李勇. Field monitoring of splitting failure for surrounding rock masses and applications of energy dissipation model .Geomechanics and Engineering.2017

28. Yong Li , Jia Chao  and 李勇. Jointed Surrounding Rock Mass Stability Analysis on an Underground Cavern in a Hydropower Station Based on the Extended Key Block Theory .Energies.2017

29. Yong Li , zhuweishen , lishucai , liujian  and 李勇. Experimental and numerical investigations on mechanical property and reinforcement effect of bolted jointed rock mass .Construction and building materials.2016

30. Yong Li , zhuweishen , Xue Yiguo , yusong  and 李勇. Splitting failure in side walls of a large-scale underground cavern group: a numerical modelling and a field study .Springerplus.2016

31. Yong Li , zhuweishen  and 王知深. 开挖顺序对高边墙地下洞室围岩稳定性影响研究 .价值工程.2018 (01)

32. Yong Li , zhuweishen  and 李勇. Impact of In Situ Stress Distribution Characteristics on Jointed Surrounding Rock Mass Stability of an Underground Cavern near a Hillslope Surface .Shock and vibration.2017

33. Yong Li , zhuweishen , lishucai , wangshugang  and 李勇. Numerical investigations on stability evaluation of a jointed rock slope during excavation using an optimized DDARF method .Geomechanics and Engineering.2018

34. wangjing , Yong Li , zhuweishen , Xue Yiguo , yusong , 王知深 高地应力地区围岩劈裂破坏现场监测和能量耗散模型及应用 .工程科学与技术.2018 (02)

35. Yong Li , zhuweishen , lishucai , wangshugang  and 李勇. Numerical investigations on stability evaluation of a jointed rock slope during excavation using an optimized DDARF method .Geomechanics and Engineering.2018,14 (3):271

36. lishucai , Wang Hanpeng  and Yong Li. A new mini-grating absolute displacement measuring system for static and dynamic geomechanical model tests .Measurement.2017, 105 :25

37. Yong Li , zhuweishen , Xue Yiguo , jiangbei  and 王知深. Field monitoring of splitting failure for surrounding rock masses and applications of energy dissipation model .Geomechanics and Engineering.2017, 12 (4):595

38. Jia Chao  and Yong Li. Jointed Surrounding Rock Mass Stability Analysis on an Underground Cavern in a Hydropower Station Based on the Extended Key Block Theory .Energies.2017, 10 (4)

39. Yong Li , zhuweishen  and 李邦翔. Impact of In Situ Stress Distribution Characteristics on Jointed Surrounding Rock Mass Stability of an Underground Cavern near a Hillslope Surface .Shock and vibration.2017, 0

40. Yong Li , zhuweishen , lishucai , liujian  and 李勇. An experimental investigation on mechanical property and anchorage effect of bolted jointed rock mass .Geosciences Journal.2017, 21 (2):253

41. Wang Qi , jiangbei , Yong Li , lishucai  and 王琦. Mechanical behaviors analysis on a square-steel-confined-concrete arch centering and its engineering application in a mining project .European Journal of Environmental and Civil Engineering.2017, 21 (4):389

42. Yong Li , zhuweishen , Xue Yiguo , yusong  and 李勇. Splitting failure in side walls of a large-scale underground cavern group: a numerical modelling and a field study .Springerplus.2016,5 (1528):1

43. Yong Li , zhuweishen , lishucai , liujian  and 李勇. Experimental and numerical investigations on the shear behavior of a jointed rock mass .Geosciences Journal.2016,20 (3):371

44. Yong Li , zhuweishen , lishucai  and 李勇. Identification of Nonlinear Rheological Parameters of Medium-strength Marble Rock .Material Sciences and Manufacturing Technology.2013,629 (1):423

45. Yong Li , zhuweishen , lishucai  and 李勇. Quasi-three-dimensional physical model tests on a cavern complex under high in-situ stresses .INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES.2011,48 (1):199

46. Yong Li , Jia Chao  and 李勇. Progressive Failure Research on Foundation Surface of Concrete Gravity Dam .Advanced Materials research.2012,163-167 :1038

47. Yong Li , zhuweishen , lishucai , liujian  and 李勇. Numerical investigations on slope stability using an elasto-brittle model considering fissure water pressure .Arabian Journal of Geosciences.2015,8 (12):10277

48. Yong Li , zhuweishen , lishucai , liujian  and 李勇. Numerical Study on Crack Propagation in Brittle Jointed Rock Mass Influenced by Fracture Water Pressure .Materials.2015,8 (6):3364

49. Yong Li , zhuweishen  and 李勇. Numerical analyses and elasto-plastic behavior study on surrounding rock mass of the underground caverns in a hydropower station during deep excavations .Geotechnical special publication.2010,2010 (2010):176

50. Yong Li , lishucai , zhangqiangyong , Wang Hanpeng  and zhuweishen. 静态电阻与光纤应变测试技术在岩土地质力学模型试验中的应用 .山东大学学报(工学版).2009,0 (0):500

51. Yong Li , zhuweishen , lishucai  and 李勇. A modified initial in-situ Stress Inversion Method based on FLAC3D with an engineering application .Open Geosciences.2015,7 (1):824

52. Yong Li , zhuweishen , lishucai , liujian  and 李勇. 节理岩体剪切试验的破坏研究 .《中国科技论文在线》.2015

53. Wang Qi , Yong Li , jiangbei , lishucai  and 王琦. Mechanical behaviors analysis on a square-steel-confined-concrete arch centering and its engineering application in a mining project .European Journal of Environmental and Civil Engineering.2015

54. liujian , lishucai , zhangqingsong , Yong Li  and Wang Hanpeng. An elasto-plastic damage constitutive model for jointed rock mass with an application .Geomechanics and Engineering: an International Journal.2016,11 (1):77

55. Wang Qi , lishucai , zhangbo , Yong Li  and 王琦. Model test study on surrounding rock deformation and failure mechanisms of deep roadways with thick top coal .Tunnelling and Underground Space Technology.2015

56. Yong Li , zhuweishen , lishucai , liujian  and 李勇. Experimental and numerical investigations on mechanical property and reinforcement effect of bolted jointed rock mass .Construction and building materials.2016,126 :843

57. Yong Li , zhuweishen , lishucai , liutong  and 李勇. A Creep Constitutive Model Considering Geometric Damage of Fractured Rock Mass and its Application .49th U.S. Rock Mechanics / Geomechanics Symposium.2015,1 (1):1

58. Yong Li , zhuweishen , lishucai  and 李勇. Experimental Investigation on Creep Deformation Behavior of Medium-Strength Marble Rock .Research Journal of Applied Sciences, Engineering and Technology.2014,7 (2):311

59. Yong Li , Wang Hanpeng  and 李勇. Inversion of initial In-situ stress field by the method of Multivariate analysis and engineering application .Applied mechanics and materials.2011,44-47 :1203

60. Yong Li , zhuweishen  and 李勇. DDARF Analysis on Shear Tests of Jointed Rock Mass .Applied mechanics and materials.2013,353-356 :507

61. lishucai , Yong Li  and zhuweishen. Design and manufacture of a new large-scale three-dimensional geomechanics model test system .Advanced Materials research.2010,97-101 (0):2770

62. Yong Li , zhuweishen  and 李勇. Development of large-scale geomechanical model test system under true triaxial loading and its applications .岩石力学与工程学报.2010,29 (1):1

63. Yong Li , lishucai , zhuweishen  and 李勇. Quasi-three-dimensional physical model tests on a cavern complex under high in-situ stresses .INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES.2011,48 (2):199

64. Yong Li  and 李勇. Study on the optimum support of large underground caverns using elasto-plastic damage FEM during excavations .45th US Rock Mechanics / Geomechanics Symposium.2011,1 (1):1

65. Yong Li , zhuweishen  and 李勇. A damage rheology model applied to analysis of splitting failure in underground caverns of Jinping I hydropower station .INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES.2014,71 (7):224

66. Yong Li , zhuweishen , lishucai , liujian  and 李勇. 关于裂隙水压影响下节理岩体的破坏研究 .《中国科技论文在线》.2015

67. zhuweishen , Xue Yiguo , jiangbei  and 李勇. Field monitoring of splitting failure for surrounding rock masses and applications of energy dissipation model .Geomechanics and Engineering.2017

68. zhuweishen , Xue Yiguo , yusong  and 李勇. Splitting failure in side walls of a large-scale underground cavern group: a numerical modelling and a field study .Springerplus.2016

69. zhuweishen  and 李勇. Impact of In Situ Stress Distribution Characteristics on Jointed Surrounding Rock Mass Stability of an Underground Cavern near a Hillslope Surface .Shock and vibration.2017

70. jiangbei , lishucai , Yong Li  and 王琦. Mechanical behaviors analysis on a square-steel-confined-concrete arch centering and its engineering application in a mining project .European Journal of Environmental and Civil Engineering.2015

71. lishucai , zhangbo , Yong Li  and 王琦. Model test study on surrounding rock deformation and failure mechanisms of deep roadways with thick top coal .Tunnelling and Underground Space Technology.2015

72. lishucai , Yong Li  and zhuweishen. Design and manufacture of a new large-scale three-dimensional geomechanics model test system .Advanced Materials research.2010,97-101 (0):2770

73. lishucai , zhangbo , Yong Li  and 王琦. Model test study on surrounding rock deformation and failure mechanisms of deep roadways with thick top coal .Tunnelling and Underground Space Technology.2015

74. jiangbei , lishucai , Yong Li  and 王琦. Mechanical behaviors analysis on a square-steel-confined-concrete arch centering and its engineering application in a mining project .European Journal of Environmental and Civil Engineering.2015

75. lishucai , zhangqingsong , liujian , Yong Li  and Wang Hanpeng. An elasto-plastic damage constitutive model for jointed rock mass with an application .Geomechanics and Engineering: an International Journal.2016,11 (1):77

76. lishucai , Yong Li  and zhuweishen. Design and manufacture of a new large-scale three-dimensional geomechanics model test system .Advanced Materials research.2010,97-101 (0):2770

77. Wang Hanpeng , Yong Li  and lishucai. A new mini-grating absolute displacement measuring system for static and dynamic geomechanical model tests .Measurement.2017, 105 :25

78. jiangbei , Yong Li , lishucai  and 王琦. Mechanical behaviors analysis on a square-steel-confined-concrete arch centering and its engineering application in a mining project .European Journal of Environmental and Civil Engineering.2017, 21 (4):389

79. Yong Li , lishucai , zhangqiangyong , Wang Hanpeng  and zhuweishen. 静态电阻与光纤应变测试技术在岩土地质力学模型试验中的应用 .山东大学学报(工学版).2009,0 (0):500

80. Yong Li , zhuweishen , Xue Yiguo , jiangbei  and 王知深. Field monitoring of splitting failure for surrounding rock masses and applications of energy dissipation model .Geomechanics and Engineering.2017, 12 (4):595

81. Yong Li , zhuweishen  and 王知深. 开挖顺序对高边墙地下洞室围岩稳定性影响研究 .价值工程.2018 (01)

82. Yong Li , zhuweishen , Xue Yiguo , yusong , wangjing  and 王知深. 高地应力地区围岩劈裂破坏现场监测和能量耗散模型及应用 .工程科学与技术.2018 (02)

83. Yong Li  and Jia Chao. Jointed Surrounding Rock Mass Stability Analysis on an Underground Cavern in a Hydropower Station Based on the Extended Key Block Theory .Energies.2017, 10 (4)

84. Yong Li , zhuweishen  and 李邦翔. Impact of In Situ Stress Distribution Characteristics on Jointed Surrounding Rock Mass Stability of an Underground Cavern near a Hillslope Surface .Shock and vibration.2017, 0

85. zhuweishen , lishucai , liujian  and 李勇. Experimental and numerical investigations on mechanical property and reinforcement effect of bolted jointed rock mass .Construction and building materials.2016,126 :843

86. zhuweishen , Xue Yiguo , yusong  and 李勇. Splitting failure in side walls of a large-scale underground cavern group: a numerical modelling and a field study .Springerplus.2016,5 (1528):1

87. zhuweishen , lishucai , liujian  and 李勇. 关于裂隙水压影响下节理岩体的破坏研究 .《中国科技论文在线》.2015

88. zhuweishen , lishucai , liujian  and 李勇. 节理岩体剪切试验的破坏研究 .《中国科技论文在线》.2015

89. zhuweishen , lishucai , liujian  and 李勇. Experimental and numerical investigations on the shear behavior of a jointed rock mass .Geosciences Journal.2016,20 (3):371

90. zhuweishen , lishucai  and 李勇. A modified initial in-situ Stress Inversion Method based on FLAC3D with an engineering application .Open Geosciences.2015,7 (1):824

91. zhuweishen , lishucai , liutong  and 李勇. A Creep Constitutive Model Considering Geometric Damage of Fractured Rock Mass and its Application .49th U.S. Rock Mechanics / Geomechanics Symposium.2015,1 (1):1

92. zhuweishen , lishucai , liujian  and 李勇. Numerical investigations on slope stability using an elasto-brittle model considering fissure water pressure .Arabian Journal of Geosciences.2015,8 (12):10277

93. Wang Hanpeng , zhuweishen , lishucai , liujian  and 李勇. Structural Stability Monitoring of a Physical Model Test on an Underground Cavern Group during Deep Excavations Using FBG Sensors .Sensors.2015,15 (9)

94. zhuweishen , lishucai , liujian  and 李勇. Numerical Study on Crack Propagation in Brittle Jointed Rock Mass Influenced by Fracture Water Pressure .Materials.2015,8 (6):3364

95. zhuweishen  and 李勇. A damage rheology model applied to analysis of splitting failure in underground caverns of Jinping I hydropower station .INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES.2014,71 (7):224

96. zhuweishen , lishucai  and 李勇. Experimental Investigation on Creep Deformation Behavior of Medium-Strength Marble Rock .Research Journal of Applied Sciences, Engineering and Technology.2014,7 (2):311

97. Wang Hanpeng  and 李勇. Inversion of initial In-situ stress field by the method of Multivariate analysis and engineering application .Applied mechanics and materials.2011,44-47 :1203

98. zhuweishen , lishucai  and 李勇. Quasi-three-dimensional physical model tests on a cavern complex under high in-situ stresses .INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES.2011,48 (1):199

99. Jia Chao  and 李勇. Progressive Failure Research on Foundation Surface of Concrete Gravity Dam .Advanced Materials research.2012,163-167 :1038

100. zhuweishen  and 李勇. DDARF Analysis on Shear Tests of Jointed Rock Mass .Applied mechanics and materials.2013,353-356 :507

101. zhuweishen , lishucai  and 李勇. Identification of Nonlinear Rheological Parameters of Medium-strength Marble Rock .Material Sciences and Manufacturing Technology.2013,629 (1):423

102. 李勇. Study on the optimum support of large underground caverns using elasto-plastic damage FEM during excavations .45th US Rock Mechanics / Geomechanics Symposium.2011,1 (1):1

103. zhuweishen  and 李勇. Numerical analyses and elasto-plastic behavior study on surrounding rock mass of the underground caverns in a hydropower station during deep excavations .Geotechnical special publication.2010,2010 (2010):176

104. zhuweishen  and 李勇. Development of large-scale geomechanical model test system under true triaxial loading and its applications .岩石力学与工程学报.2010,29 (1):1

105. zhuweishen , lishucai , wangshugang  and 李勇. Numerical investigations on stability evaluation of a jointed rock slope during excavation using an optimized DDARF method .Geomechanics and Engineering.2018

106. zhuweishen , lishucai , liujian  and 李勇. An experimental investigation on mechanical property and anchorage effect of bolted jointed rock mass .Geosciences Journal.2017

107. zhuweishen , lishucai , liujian  and 李勇. Experimental and numerical investigations on mechanical property and reinforcement effect of bolted jointed rock mass .Construction and building materials.2016

Patens
Research project

1. 隧道损伤加固机制及效果评价, 2023/12/01-2026/11/30

2. 硬岩隧道防水型单层衬砌设计方法、材料研发与施工关键技术, 2022/09/01-2025/02/28

3. 河北抚宁抽水蓄能电站通风洞、交通洞围岩 稳定计算及位移反分析, 2022/06/01-2024/12/31

4. 协调开采井巷变形破坏规律及失稳模式数值模拟研究, 2021/12/01-2025/11/30

5. 超高速列车低真空管网系统基础设施协同创新中心, 2020/01/01-2022/12/31

6. 考虑非达西流影响的水压致裂非连续变形分析研究, 2018/09/01-2020/09/01

7. 基于泡沫轻质材料刚度架越作用的桥台差异沉降控制研究, 2018/09/01-2023/12/31

8. 多裂隙岩体的破坏机理、强度特性及对地下工程稳定性的影响, 2011/01/01-2013/12/31

9. 渗流作用下裂隙岩体的流变效应分析研究, 2015/07/01-2017/07/31

10. 裂隙岩体双重介质非达西渗流与应力耦合流变效应研究, 2015/08/17-2018/12/31

11. 南水北调平原水库运行期健康诊断及防护技术研究与示范, 2015/04/01-2017/12/31

12. 跨越断层大跨越输电塔-线体系抗震分析及其控制, 2015/08/17-2019/12/31

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