Solution strategies and adaptive algorithms in computational mechanics for nonlinear finite element analysis 非線形有限要素解析のための数値解法戦略と適応アルゴリズム

Access this Article

Search this Article

Author

    • Lee, Sang Hoon リー, サン ホン

Bibliographic Information

Title

Solution strategies and adaptive algorithms in computational mechanics for nonlinear finite element analysis

Other Title

非線形有限要素解析のための数値解法戦略と適応アルゴリズム

Author

Lee, Sang Hoon

Author(Another name)

リー, サン ホン

University

東京大学

Types of degree

博士 (工学)

Grant ID

乙第10502号

Degree year

1992-01-23

Note and Description

博士論文

Table of Contents

  1. CONTENTS / p4 (0005.jp2)
  2. Abstract / p1 (0003.jp2)
  3. Acknowledgements / p3 (0004.jp2)
  4. References / p8 (0007.jp2)
  5. 1.Introduction / 1-1 / (0012.jp2)
  6. 1.1 Evolution / 1-1 / (0012.jp2)
  7. 1.2 Nonlinear Characterization / 1-3 / (0013.jp2)
  8. 1.3 Program Architecture / 1-6 / (0015.jp2)
  9. 1.4 Overview of User Interface / 1-8 / (0016.jp2)
  10. 2.Basic Considerations for Nonlinear Analysis / 2-1 / (0018.jp2)
  11. 2.1 Discrete System for a Nonlinear Continuum Model / 2-1 / (0018.jp2)
  12. 2.2 Finite Element Formulation for Equilibrium Equations / 2-3 / (0019.jp2)
  13. 2.3 Coordinate Transformations / 2-6 / (0021.jp2)
  14. 2.4 Reduction of System Equations / 2-8 / (0022.jp2)
  15. 2.5 Geometric Nonlinearity / 2-10 / (0023.jp2)
  16. 2.6 Adaptability of the solution process / 2-15 / (0025.jp2)
  17. 3.Solution Strategies / 3-1 / (0026.jp2)
  18. 3.1 Solution Procedure / 3-1 / (0026.jp2)
  19. 3.2 Bisection Strategies / 3-5 / (0028.jp2)
  20. 3.3 Stiffness Update Strategies / 3-10 / (0031.jp2)
  21. 3.4 Line Search Method / 3-16 / (0034.jp2)
  22. 3.5 Quasi-Newton Method / 3-27 / (0039.jp2)
  23. 3.6 Convergence Criteria / 3-38 / (0045.jp2)
  24. 3.7 Arc-Length Methods / 3-46 / (0049.jp2)
  25. 4.Direct Time Integration / 4-1 / (0053.jp2)
  26. 4.1 Introduction / 4-1 / (0053.jp2)
  27. 4.2 Two-Point Integration Method / 4-3 / (0054.jp2)
  28. 4.3 Adaptive Time Stepping / 4-7 / (0056.jp2)
  29. 4.4 Expedient Iteration Strategies / 4-14 / (0060.jp2)
  30. 4.5 Verification Problems / 4-19 / (0062.jp2)
  31. 5.Material Nonlinearity / 5-1 / (0069.jp2)
  32. 5.1 Overview / 5-1 / (0069.jp2)
  33. 5.2 Plasticity / 5-6 / (0072.jp2)
  34. 5.3 Verification and Validation of Plasticity Model / 5-16 / (0077.jp2)
  35. 5.4 Creep and Viscoelasticity / 5-26 / (0082.jp2)
  36. 5.5 Verification and Validation of Creep Model / 5-36 / (0087.jp2)
  37. 6.Adaptive Gap Element / 6-1 / (0091.jp2)
  38. 6.1 Introduction / 6-1 / (0091.jp2)
  39. 6.2 Basic Considerations for GAP Element / 6-3 / (0092.jp2)
  40. 6.3 User Interface for GAP Element / 6-5 / (0093.jp2)
  41. 6.4 Theoretical Basis for Friction / 6-9 / (0095.jp2)
  42. 6.5 Stiffness Update and Bisection Strategies / 6-11 / (0096.jp2)
  43. 6.6 Adaptive Adjustment of Penalty Values / 6-14 / (0098.jp2)
  44. 6.7 Verification and Validation / 6-15 / (0098.jp2)
  45. 6.8 Simulation of a Surface Contact / 6-23 / (0102.jp2)
  46. 6.9 Concluding Remarks / 6-32 / (0107.jp2)
  47. 7.Static Analysis / 7-1 / (0107.jp2)
  48. 7.1 Elasto-Plastic-Creep Deformation / 7-1 / (0107.jp2)
  49. 7.2 Parametric Study on BFGS Updates and Line Search Method / 7-9 / (0111.jp2)
  50. 7.3 Geometric Stiffening of the Thin Shell / 7-28 / (0121.jp2)
  51. 8.Dynamic Analysis / 8-1 / (0125.jp2)
  52. 8.1 Stress Wave Propagation in an Elastic Rod / 8-1 / (0125.jp2)
  53. 8.2 Elliptic Cylinder Subject to an Internal Pressure / 8-8 / (0129.jp2)
  54. 8.3 Transient Response of an Impulsively Loaded Cylindrical Panel / 8-12 / (0131.jp2)
  55. 8.4 Dynamic Buckling of a Column Subject to a Follower Force / 8-17 / (0133.jp2)
  56. 8.5 Dynamic Bifurcation of Elastic-Plastic Beam / 8-23 / (0136.jp2)
  57. 9.Stability Analysis / 9-1 / (0138.jp2)
  58. 9.1 Nonlinear Buckling Analysis / 9-1 / (0138.jp2)
  59. 9.2 Pre-and Post-Buckling Analysis / 9-9 / (0142.jp2)
  60. 9.3 Methodology for Dynamic Stability Analysis / 9-22 / (0149.jp2)
  61. 10.Closing Remarks / 10-1 / (0150.jp2)
8access

Codes

  • NII Article ID (NAID)
    500000098146
  • NII Author ID (NRID)
    • 8000000098375
  • DOI(NDL)
  • NDLBibID
    • 000000262460
  • Source
    • NDL ONLINE
    • NDL Digital Collections

Export

Page Top