Liu Jianping's doctoral thesis.

Instructor: Beijing University of Posts and Telecommunications/Zhang Xinyi of Shandong University of Technology.

20 12

Plagiarism plagiarized from:

Study on Elastohydrodynamic Lubrication of Viscoplastic Fluid and Mechanism of Collapse and Failure of Lubricating Film

Doctor Zhang Yongbin's thesis

2000

Liu Jianping pieced together his doctoral thesis by plagiarism, mainly from Zhang Yongbin's doctoral thesis. She doesn't have her own job at all, and she makes up data at will and manipulates data artificially, which is particularly bad. Some materials are listed below:

1. Liu Jianping's Chinese abstract is actually the same as Zhang Yongbin's. She wrote Zhang Yongbin's specific work (the main contents listed in her abstract (2)-(7)) into the Chinese abstract, which is more explicit.

2. The second page of Liu Jianping's doctoral dissertation, "Research Status of Rheological Model 1.2. 1", plagiarized Zhang Yongbin's doctoral dissertation from pages 15 and 16.

3. Liu's third page, "Logarithmic Rheological Model of 1.2. 1", was copied from the dissertations of 16 and 17.

4. The Evans-Johnson model on page 5 of Liu was copied from another paper by Zhang Yongbin:

Yongbo Zhang, et al., Elastohydrodynamic lubrication model of molecular film: Part I-Analysis progress, International Fluid Mechanics Research, 2003, Vol.30, 542-557.

5. The section "Calculation of line contact film thickness 1.2. 1" on page 8 of Liu's paper is copied from page 1-3 of his paper.

6. The section "1.2.2 Calculation of membrane thickness" on page 9 of Dr. Liu's dissertation was plagiarized from pages 3-4.

7. Liu 1 1 Page "1.2.3 Current situation of theoretical and experimental research on film failure" is copied from the published dissertation page 9-1.

8. Liu 12 "10.3 the significance of this study" plagiarized the self-published dissertation 13- 14.

9. Liu 14-22 pages are probably copied from other people's works.

10. On page 22 of Liu's section "Analysis of physical conditions of lubricating film slip", a document of Zhang Yongbin, namely the document marked by Liu [125], was quoted at will, but this section was actually copied from pages 35-37 of the dissertation. Liu Biao's document [125] has nothing to do with "the physical conditions of lubricating film sliding".

1 1. Liu copied the paper from page 23, figure 2-2, page 36, figure 2-4.

12. Figure 2-3 on page 24 of Liu Zi's dissertation; Figure 2-2 on page 2 1.

13. Liu's pages 25-37 are probably copied from other people's works and copied according to Zhang's dissertation 18-27.

14. Liu copied the paper on pages 37-39 and 46-47.

15. Liu copied the paper from page 39, figure 2-page 47, figure 2-5.

16. Liu published his dissertation on page 40 of Calculation Results of 2.8 and page 48 of Calculation Results of 2.2.6.

17. Liu Di 4 1 Page "The Influence of Slip-Roll Ratio of 3. 1 on the Characteristics of Non-Newtonian Fluids", copied from the self-taught thesis page 49 "Some Typical Results of 3. 1". Among them, Liu deliberately tampered with several words: changing "limited to 2.0m/s" in Zhang Wenzhang to "less than 2.0m/s" and changing "slip-roll ratio" in Zhang Wenzhang from 0 ~ 2.06 to "slip-roll ratio S is 0 ~ 2.2"; However, these changes are simply ridiculous. "Less than 2.0m/s" means that Liu hasn't calculated the rolling speed, and I don't know what she calculated. She misinterpreted the meaning of "limited" in Zhang Wenzhang, but it was actually "equal", while the slip-roll ratio calculated by Liu was 2.2, which was impossible. In Zhang's paper, under the same working conditions, the slip-roll ratio can only reach 2.06.

18. Liu Di 4 1 Page 3- 1 Table 3- 1 Page self-copied dissertation.

19. On page 4 1-42, Liu plagiarized from his published dissertation on page 50-5 1 "Lubrication film slippage 3. 1"

20. Figure 3- 1 on page 42 of "Liu" is made at will, which has no meaning and can't convey any information, so people can't understand it.

2 1. Figure 3-2 on page 42 and Figure 3-2 on page 54 of Liu Zi's dissertation. Among them, Liu changed "S=0. 174" and "S=0.065" in Figure 3-2 to "S=0. 18" and "S=0.07" respectively.

22. Figure 3-3 on page 42 of Liu was generated by Figure 3-2 on page 54 of dr. zhang's paper.

23. Liu's section on pages 43-44, "Influence of slip-roll ratio 3. 1.2 on pressure distribution and thickness distribution of lubricating film", was copied from pages 52-54 of his own published dissertation. Among them, Liu also made artificial random changes to the data, such as changing "the slip-roll ratio is greater than 0. 174" in Zhang Wenzhang to "the slip-roll ratio is greater than 1.0" (this random change is absurd). In Zhang's paper, "When the slip-roll ratio is 1.95, 2.0 and 2.06, the minimum oil film thickness is 40nm, 2 1nm and 1nm respectively" is changed to "When S is 1.90,1. 438+0nm and 65 In Zhang's paper, the minimum film thickness is as low as 65,438+00 nm when S=2.06, while in Liu's paper, the minimum film thickness is 65,438+00 nm.

24. Liu's figure 3-4 on page 43 is fabricated at will, which is similar to the curve hc in figure 3-3 on page 54 of Zhang's dissertation, but Liu's figure 3-4 has no meaning and can't convey any information, which makes people incomprehensible.

25. Liu's Figure 3-5 on page 43 reproduces the hmin curve in Figure 3-3 on page 54.

26. Liu copied his dissertation from figure 3-6 on page 44 and figure 3-4 on page 54. Among them, Liu changed "S=0.065" in Figure 3-4 to "S=0.06".

27. On page 45, Liu copied the section "Friction coefficient 3. 1.3 and lubricant flow" from pages 54-55 of his published dissertation.

28. Liu copied his dissertation from Figure 3-7 on page 45, Figure 3-5 on page 55.

29. Liu copied his dissertation from page 45, Figure 3-8, and Figure 3-6 on page 55.

30. Liu's page 46 "Effect of 3.2 Load on the Characteristics of Non-Newtonian Fluid" was copied from his dissertation "Effect of 3.2 Load" on pages 56-57.

3 1. Liu copied the section "3.2. 1 load's influence on lubricating film sliding" on page 47-48 from the section "3.2.3. 1 load's influence on lubricating film sliding" on page 58-6 1 published dissertation.

32. Table 3-2 on page 47 of Liu's paper copied Table 3-2 on page 59. Among them, the values of Sc in Table 3-2 are "10.2, 0.05, 0.005, 0.003, 0.00 1, 5.0e-6, 2.4e-7,

33. Liu copied the paper from page 47, figure 3-9, page 60, figure 3-7.

34. Figure 3- 10 on page 47 of Liu belongs to artificial fabrication, which cannot convey any information and is incomprehensible.

35. On page 48 of Dr. Liu's thesis, the section "3.2.2 load's influence on the total flow of lubricating oil entering the lubricating area" is copied from the section "3.2.2 load's influence on the total flow of lubricating oil entering the lubricating area" on page 6 1-62 of his thesis.

36. Liu copied his dissertation from page 48, figure 3- 1 10, figure 62, figure 3- 10. Among them, Liu removed the curve of "Ph=0.35GPa" in Figure 3- 10.

37. Figure 3- 12 on page 48 of Liu Zi's dissertation Figure 3- 1 1 on page 63. Among them, Liu changed "1.57 GPA, 1.22 GPA, 0.7 1 GPA, 0.35 GPA" in Figure 3 to-1GPA, 65438 respectively.

38. The section on page 48-5 1 of Dr. Liu's thesis "3.2.3 Effect of load on pressure and thickness distribution of lubricating film" is copied from the section on page 62-65 of his thesis.

39. Figures 3- 13(a) and 3- 13(b) on page 49 of Dr. Liu's dissertation are copied from Figures 3- 12(a) and 3- 12(b) on page 63. Among them, "12 (a) and" 1.57 GPA, 1.22 GPA, 0.7 1 GPA and 0.35 GPA "in Liu's figure 3- 12(b) are respectively revised as follows.

40. Figures 3- 14(a) and 3- 14(b) on page 50 of Dr. Liu's thesis are copied from Figures 3- 13(a) and 3- 13(b) on page 64. Among them, "2.04 GPA,10.50 GPA,10.22 GPA, 0.7 1 GPA, 0.50 in Figure 3- 13(a) and Figure 3-/kloc-3 (b) of Liu. 1.25 GPA, 0.72 GPA, 0.55 GPA, 0.40 GPA ",Liu's behavior belongs to random forgery and tampering with data.

4 1. Figure 3- 15 on page 5 of Liu is copied from Figure 3- 14(a) and Figure 3- 14(b) on page 65 respectively.

42. On page 5 1, Liu copied the section "Influence of 3.2.3.4 load on friction coefficient" and the section "Influence of 3.2.4 load on traction characteristics" on page 66 of Zhang's paper. Among them, Liu Tu 3- 16 belongs to fabrication.

43. On page 5 1-54, "The influence of 3.3 lubricating oil shear strength on characteristics" plagiarized from the published dissertation 67-7 1 page "Further research on 3.3 lubricating oil shear strength on characteristics". Among them, Liu's formula (3- 10) claims to be put forward by himself, but in fact it is copied from himself (3- 10).

44. The section "The influence of 3.3.2 shear strength on the slip of lubricating film" on pages 54-56 of Liu's paper is copied from pages 72-75 of his paper.

45. Table 3-3 on page 55 of Dr. Liu's thesis is copied from Table 3-3 on page 72.

46. Figures 3- 17 and 3- 18 on page 55 of Dr. Liu's thesis are copied from Figures 3- 19 and 74 on page 75 respectively. Among them, Liu changed "S= 1.90" in Figure 3- 19 to "S= 1.80", and Liu's behavior belongs to random forgery and tampering with data.

47. Liu's section on "3.3.3 Influence of Shear Strength on Pressure and Film Thickness Distribution of Lubricating Film" on pages 56-57 was copied from the section on "3.3.5 Oil Film Pressure and Film Thickness Distribution" on pages 75-78 of his published dissertation.

48. Figure 3- 19, page 56. Figure 3-2 1 (1), page 76.

49. Figure 3-20 on page 56, Figure 3-2 on page 761(b). Among them, Liu deleted the curve "S=0.60" in figure 3-2 1(b) of Zhang.

50. Liu copied figures 3-2 1 and 3-22 on page 57 from figures 3-22(a) and 3-22(b) on page 76 of his dissertation. Among them, "S = 1.80, S = 1.20, S = 0.60" in Zhangjiang Figure 3-22(b) were changed to "S = 1.9, S =1. Liu's behavior belongs to random forgery and tampering with data.

5 1. The section "3.3.4 Influence of low-pressure shear strength on membrane thickness" on page 57-58 of Liu's paper is copied from the section "3.3.6 Failure" on page 78-8/kloc-0.

52. Figures 3-23 and 3-24 on page 58 of Dr. Liu's thesis are reproduced from Figures 3-24(a) and 3-24(b) on page 79. Among them, the words "0.5MPa, 0.2MPa, 0. 1MPa" in Zhangjiang Figure 3-24(a) were changed to "0.8MPa, 0.3MPa, 0.2MPa" respectively. Liu's behavior belongs to random forgery and tampering with data.

53. Liu copied the paper 60-6 1 page, 82-83 pages, 90-9 1 page.

54. Liu copied his dissertation from table 4- 1 on page 665438 and table 3-4 on page 83.

55. The section on page 62 of Dr. Liu's thesis entitled "4.2.2 Critical Pressure Gradient Formula for Lubrication Film Slip" was copied from the section on page 83 entitled "3.4.3. 1 Stability of Isothermal Pure Rolling Elastohydrodynamic Lubrication Film".

56. Figure 4- 1 and Figure 4-2 on page 63 of Liu copied Figure 3-30(a) and Figure 3-30(b) on page 86 of his dissertation.

57. Figures 4-3 and 4-4 on page 63 of Dr. Liu's thesis are copied from Figures 3-3 1(a) and 3-3 1(b) on page 87 respectively.

58. Liu's paper on pages 62-64 was copied from pages 84-89.

59. Figures 4-5 and 4-6 on page 64 of Dr. Liu's thesis are copied from Figures 3-34 and 3-27 on page 89 respectively. Among them, the words "pH = 3. 16 GPA, pH = 2.008 GPA, pH = 1.20 GPA, pH = 0.7 1 GPA" in figure 3-27 of Zhangjiang are changed to "pH = 3.15". In Figure 3-34 of Zhang, "0.5MPa, 0.2MPa, 0. 1MPa" was changed to "0.8MPa, 0.3MPa, 0.2MPa" respectively. Liu's behavior belongs to random forgery and tampering with data.

60. The section "4.3. 1 Effect of load on film slip" on page 65 of Liu's paper is copied from the section "Interface slip of pure rolled film in 3.4.3.2" on page 84 of his paper.

6 1. Liu's "4.3.2 Effect of Load on Film Thickness" on pages 65-68 may be a copy of others' works.

62. Liu's paper "4.4. 1 Influence of rolling speed on pure rolled film slip" plagiarized 84 pages, 9 1 page and 92 pages.

63. Figure 4- 10 and Figure 4- 1 1 on page 69 of Dr. Liu's thesis copied Figure 3-28 on page 85 and Figure 3-35 on page 92 respectively. Among them, Liu changed "u=0.4m/s" in Figure 3-28 to "u=0. 1m/s" and changed "the maximum Hertzian pressure is 1.2GPa" to "the maximum Hertzian contact pressure is1.5gpa". Liu Jiangzhang's calculation condition in Figure 3-35 is changed from "the maximum Hertzian pressure is 0.7 1GPa" to "the maximum Hertzian contact pressure is 0.75GPa", and these behaviors of Liu belong to random forgery and tampering with data.

64. Liu's 69-7 1 page "4.4.2 Effect of rolling speed on the thickness of lubricating film" was copied from his 95-98 page paper.

65. Figures 4- 12 and 4- 13 on page 70 of Dr. Liu's thesis copy pages 95, 3-38(a) and 3-38(b) respectively. Among them, Liu changed Zhang's calculation condition "the maximum Hertzian pressure is 1.20GPa" to "the maximum Hertzian contact pressure is 1. 19GPa" and Zhang's calculation condition is "the maximum Hertzian pressure is 3. 16".

66. Figures 4- 14 and 4- 15 on page 765438 of Dr. Liu's thesis are copied from pages 97, 3-39 and 3-40 respectively. Among them, Liu revised Zhang's figure 3-39 calculation condition "lubricating oil temperature is 40 degrees Celsius" to "lubricating oil temperature is 50 degrees Celsius" and Zhang's figure 3-40 calculation condition "maximum Hertzian pressure is 0.50GPa" to "maximum Hertzian pressure is 0.55GPa". These behaviors of Liu belong to random forgery and tampering with data.

67. On page 69-70, Liu said that she regressed Formula (4-4), Formula (4-5) and Formula (4-6) by herself. In fact, these formulas are copied from the regression formula (3- 13) and formula (3-65438) on page 96 of her dissertation. In order to hide people's eyes and ears, she changed the variables CP, UB 1, K 1, N 1 and rth in Zhang formula into variables respectively.

68. Liu 7 1-73, "Comparison between 4.4.3 and classical test data", this section is a self-published dissertation, 98-1kloc-0/page, "Comparison between 3.5.4 and experiment".

69. Figures 4- 16(a), 4- 16(b) and 4- 16(c) on page 72 of Liu's dissertation were copied from page 99-100 and figure 3-4/kloc-respectively. Among them, Liu's numbers 3-4 1(a), 3-4 1(b) and 3-4 1(c) show that the rolling speed is 2 1.84m/s and the rolling speed is 34.54m/s.

70. Figures 4- 17(a) and 4- 17(b) on page 73 of Dr. Liu's dissertation are plagiarized papers, with figures 3-42 on page10.

On page 7 1.73-74, Liu's "Summary 4.5 in this chapter" is a self-copied dissertation "Summary 3.5.5" on page10.

72. On page 75, Liu copied the section "Slip characteristics of thin film under heavy load of 5.1."from the section "Slip of 3.6. 1 film" on page 102.

73. Liu copied his dissertation from page 75, figure 5- 1 page 102, figure 3-43.

74. Liu copied the section "3.6.4 Calculation Formula of Isothermal Contact Film Thickness under Heavy Load Based on Newton Fluid Model" on page 76-77 from "Formula 5. 1.2"105.

75. On page 76, Liu said that she had done a lot of calculations herself, and regressed more than 65,438+000 sets of data for the maximum Hertzian pressure range of 0.75 GPA to 5.0 GPA, and regressed the formulas (5-5) and (5-6) in the paper. Her formulas (5-5) and (5-6) are very similar to those (3- 19) and (3-20) obtained by regression on page 105 of dr. zhang's paper. This phenomenon is impossible, because the maximum Hertzian pressure range of Zhang regression formula is 0.7GPa~4.5GPa, which is based on 40 sets of data regression. There are obvious differences between Liu and Zhang in regression calculation, but the regression formulas given are so similar. It can only be said that Liu made up the sentence that "the maximum Hertzian pressure range is 0.75 GPA to 5.0 GPA, and returned to 100 sets of data", which actually copied Zhang's regression formula. In order to hide people's eyes and ears, she changed the coefficient "5.809" and index "0.554", "0.78 1" and "-0.263" in Zhang's formula (3- 19) to coefficient "6.02" and index "0.56" and "0" respectively. Change the coefficient "1 1.0" and indicators "0.464", "0.782" and "-0.285" in Zhang formula (3-20) to coefficient "1.7" and indicator "respectively.

76. Figures 5-3(a), 5-3(b), 5-3(c) and 5-3 (d) on page 76-77 of Dr. Liu's thesis are copied from Figures 3-45(a), 3-45(b) and 5 on page 105 respectively.

77. Liu's page 77-79 "Selection criteria of lubricating oil under heavy load (5.10.3)" is copied from the section "3.6.5 critical lubricating oil shear strength and its estimation under given conditions" on page 106- 109.

78. Figures 5-4(a), 5-4(b), 5-4(c) and 5-4(d) on page 78 of Liu plagiarized the paper on page 108, namely, Figures 3-46(a), 3-46(b) and 3.

79. On page 78-79, Liu copied dr. zhang's papers in figures 5-5(a), 5-5(b) and 5-5(c), and on page 108- 109, figures 3-47(a), 3-47(b) and.

80. Liu copied tables 5- 1 and 5-2 on page 79 from tables 3-6 and 3-7 on page 107 of his dissertation. Among them, Liu randomly added data to these two tables and changed the variable rit used by Zhang to rs.

8 1. On page 79-82, the section "5.2 Limitation of non-Newtonian rheological characteristics of lubricating oil on film thickness" plagiarized the section "3.7 Limitation of viscoplasticity of lubricating oil on film thickness" on page10-13.

82. Liu copied his dissertation from page 80, figure 5-6, page 1 12, figure 3-48. In Figure 3-48, the loads "w=300N/mm", "w= 1500N/mm" and "w=6000N/mm" are changed to "Ph=0.70GPa" and "Ph= 1.80GPa" respectively.

83. Figures 5-7 and 5-8 on page 82 of Liu's thesis were copied by himself. Figures 3-49 and 3-50 on page112-165438. Among them, Liu changed Zhang's figure 3-49 "the maximum Hertzian pressure is 3. 16GPa" to "the maximum Hertzian pressure is 3.0GPa" and Zhang's figure 3-50 "u = 2.0m/s", "u=0.4m/s" and "u = 0./kloc-0". These behaviors of Liu belong to random forgery and tampering with data.

84. "Transition between 5.2.2 Newtonian Film and Non-Newtonian Film" on page 82-84 of Liu is a dissertation published by himself, and "3.7.5 Lubrication mechanism of linear contact between viscoelastic fluid and viscoplastic fluid" on page1116. On page 83, Liu scribbled an absurd expression about C, rewritten some variables in Zhang's various formulas, and made some small changes to some data in Zhang's various formulas. These behaviors of Liu belong to random forgery and tampering with data.

85. Figures 5-9(a) and 5-9(b) on page 84 of Dr. Liu's thesis copy figures 3-52(a) and 3-52(b) on page 1 16 respectively. Liu changed "C=8.225e-8" in Zhang's figure 3-52(a) to "C=8.359e-8" and deleted the Chinese characters in Zhang's figure 3-52(a), making her figure 5-9(a) an absurd figure. In Figure 3-52(b), Liu changed "c = 1.32 1e-6", "c = 6.604e-7" and "c = 3.302e-7" to "c =1..

86. Liu's page 84-85 "Calculation of central film thickness at high rolling speed" is copied from page116-118 "Estimation of upper limit of central film thickness". Liu rewrote some variables in various formulas and changed some data in various formulas at will. These behaviors of Liu belong to deliberately forging and tampering with data.

87. Figure 5- 10 on page 85 and Figure 5- 1 1 published by Liu Zi copied Figure 3-53 on page 1 17 and Figure 8 on page 1 18 respectively. Among them, Liu revised "c = 8.75e-8", "c = 1.75e-7", "c = 3.5e-7" and "C=7.0e-7" in Figure 3-53 of Zhang to "c = 8.8e-8" and "c"

88. On page 85, "Comparison between 5.2.4 and experimental results" is Liu's plagiarism of his own dissertation, and on page118-19, "Comparison between 3.7.7 and experimental results".

89. Figures 5- 12(a) and 5- 12(b) on page 85 are copied from the dissertation on page 1 19 respectively.

90. On page 86-87, Liu copied the section "5.2.5 Transformation between Discontinuous Medium Fluid Lubrication Mechanism and Continuous Medium Fluid Lubrication Mechanism", which was his dissertation119-121"3.7.8". Among them, 86 pages (5-32) of Liu's formula coefficient "5.82e-2" is fabricated.

9 1. Figure 5- 13 Page 87 of Liu Zi's dissertation 12 1 Page Figure 3-56. In figure 3-56, "C = 4.37E-8", "C = 8.75E-8", "C = 1.75E-7" and "C=3.5e-7" are changed to "C = 4.40E-8" respectively.

92. The section "5.3 film thickness formula of non-Newtonian fluid" on page 87-94 of Liu was copied from the section "3.8 deviation from classical theory caused by viscoplasticity of lubricant: Part I-film thickness formula" on page 122- 134.

93. Table 5-3 and Table 5-4 on page 88 were copied from the self-taught thesis1page 24, Table 3- 1 1 and Table 3- 10 respectively. Among them, Liu revised the interfacial shear strength "1.0MPa" of three oils in Table 3- 10 to "3.2 MPa", "3.2 MPa" and "2.0MPa" respectively. Liu's behavior belongs to random forgery and tampering with data.

94. Tables 5-5 and 5-6 on page 89 are copied from Table 3- 12 and Table 3- 13 of the dissertation on page 125 respectively. Among them, Liu changed the parameter "r0.7" in table 3- 12 to parameter "q0.7", and fabricated and changed the data in table 3- 12 at will, and changed the parameter "r0.5" in table 3- 13 to parameter "q0.5". Liu's behavior belongs to random forgery and tampering with data.

95. Figure 5- 14 Page 89 of Dr. Liu's dissertation; Page 126 Figure 3-57.

96. Liu's 90-9 1 page is shown in Figure 5- 15(a), Figure 5- 15(b), Figure 5- 15(c) and Figure 5- 15(d).

97. On pages 92-93, figures 5- 16(a), 5- 16(b), 5- 16(c) and 5- 16(d) are copied from the dissertation.

98. On pages 93-94, Liu showed figures 5- 17(a), 5- 17(b), 5- 17(c), 5- 17(d) and 5-/.

99. Liu's "5.4 abstract of this chapter" on pages 94-95 was copied from his own dissertation "3.8.7 abstract" 132- 133.

100. page 96- 104 "chapter 6 experimental study on the influence of non-newtonian rheological characteristics of lubricating oil on characteristics" is copied from the chapter "experimental study on film thinning caused by viscoplasticity of lubricating oil" on page 155- 167.

10 1. Table 6- 1 on page 99 of Liu Zi's dissertation.

102. Figures 6-2 and 6-3 on page 100 of Dr. Liu's thesis copy Figures 4-5 and 4-6 on page 163 respectively.

103. Figures 6-4 and 6-5 on page10/of Dr. Liu's thesis are copied from page 167, figure 4-8 and figure 4-9 respectively.

104. Table 6-2 on page 103, Table 4-2 on page 17 1.

105. Figures 6-6 and 6-7 on page 103 of Dr. Liu's thesis are copied from page 172- 173, figure 4- 1 and figure 4- 12 respectively.

106. page Liu 104- 107 "experimental study on the influence of non-newtonian rheological characteristics of lubricating oil on film shape" is likely to copy other people's works.

107. Liu zai's "6.4 Abstract of this chapter" on page 107 plagiarized his dissertation 175- 176 "4.2.7 Abstract".

Many references in 108. Liu 109- 120 are the same as those in dr. zhang's paper.