# Green's functions for the problem of thin plates with some applications薄板問題のグリーン関数と応用

## 書誌事項

タイトル

Green's functions for the problem of thin plates with some applications

タイトル別名

ワン, シェンフン

2000-03-23

## 目次

1. Contents / p1 (0005.jp2)
2. Chapter1 Introduction / p1 (0006.jp2)
3. 1.1 General / p1 (0006.jp2)
4. 1.2 Review of previous work / p2 (0007.jp2)
5. 1.3 Objective and contents of this thesis / p6 (0009.jp2)
6. Chapter2 Rational Mapping Functions and Basic Formula for the Bending of Thin Plates / p9 (0010.jp2)
7. 2.1 Introduction / p9 (0010.jp2)
8. 2.2 Rational mapping functions / p9 (0010.jp2)
9. 2.3 Basic equations of thin plate problem / p12 (0012.jp2)
10. 2.4 Complex stress function representations / p13 (0012.jp2)
11. 2.5 Principle of analytical continuation / p16 (0014.jp2)
12. 2.6 The Hilbert problem / p16 (0014.jp2)
13. 2.7 Stress singularities in thin plates / p18 (0015.jp2)
14. Chapter3 Green's Functions of Thin Plate Bending Problem under Fixed Boundary / p21 (0016.jp2)
15. 3.1 Introduction / p21 (0016.jp2)
16. 3.2 Mapping function / p22 (0017.jp2)
17. 3.3 Fundamental expressions / p24 (0018.jp2)
18. 3.4 Derivation of Green's functions / p25 (0018.jp2)
19. 3.5 Numerical examples / p36 (0024.jp2)
20. 3.6 Concluding remarks / p38 (0025.jp2)
21. Chapter4 Bending of a Thin Plate Containing a Rigid Inclusion and a Crack / p40 (0026.jp2)
22. 4.1 Introduction / p40 (0026.jp2)
23. 4.2 Statement of the problem / p41 (0026.jp2)
24. 4.3 Rational mapping function / p42 (0027.jp2)
25. 4.4 Complex potentials / p43 (0027.jp2)
26. 4.5 Solution of problem b / p44 (0028.jp2)
27. 4.6 Solution of problem e / p46 (0029.jp2)
28. 4.7 Integral equation for problem c / p48 (0030.jp2)
29. 4.8 Stress intensity factors / p50 (0031.jp2)
30. 4.9 Numerical results and discussion / p50 (0031.jp2)
31. Chapter5 Stress Intensity Solutions for the Bending of Thin Plate with a Hole Edge Crack and a Line Crack / p53 (0032.jp2)
32. 5.1 Introduction / p53 (0032.jp2)
33. 5.2 Analysis of the problem / p54 (0033.jp2)
34. 5.3 Solution of problem I / p55 (0033.jp2)
35. 5.4 Solution of problem II / p56 (0034.jp2)
36. 5.5 Stress intensity factors at crack tips and numerical results / p59 (0035.jp2)
37. 5.6 Concluding remarks / p61 (0036.jp2)
38. Chapter6 Green's Function for the Mixed Boundary Value Problem of Thin Plate / p62 (0037.jp2)
39. 6.1 Introduction / p62 (0037.jp2)
40. 6.2 Rational mapping function and complex potentials / p63 (0037.jp2)
41. 6.3 Green's function of point dislocation for the mixed boundary value problem / p65 (0038.jp2)
42. 6.4 Interaction between partially bonded inclusion and crack / p69 (0040.jp2)
43. 6.5 Stress intensity factors of crack tips and stress intensities of debonding tips / p73 (0042.jp2)
44. 6.6 Numerical examples and discussion / p75 (0043.jp2)
45. 6.7 Concluding remarks / p77 (0044.jp2)
46. Chapter7 Green's Function of a Point Dislocation for the Bending of a Composite Infinite Plate with an Elliptical Hole at Interface / p78 (0045.jp2)
47. 7.1 Introduction / p78 (0045.jp2)
48. 7.2 Analysis of the problem / p79 (0045.jp2)
49. 7.3 Formulation of problem A / p82 (0047.jp2)
50. 7.4 Formulation of the original problem / p84 (0048.jp2)
51. 7.5 Solution of the problem / p86 (0049.jp2)
52. 7.6 Stress distribution / p90 (0051.jp2)
53. 7.7 Stress intensity of debonding / p92 (0052.jp2)
54. 7.8 Concluding remarks / p93 (0052.jp2)
55. Chapter8 Summary and Conclusions / p95 (0053.jp2)
56. References / p99 (0055.jp2)
57. Appendix / p104 (0058.jp2)
58. First-order derivative of integral in Eqs.(6.18),(7.35),(7.46), and (7.47) / p104 (0058.jp2)
0アクセス

## 各種コード

• NII論文ID(NAID)
500000187889
• NII著者ID(NRID)
• 8000000188172
• DOI(NDL)
• NDL書誌ID
• 000000352203
• データ提供元
• NDL ONLINE
• NDLデジタルコレクション

ページトップへ