板及びシュル構造解析のためのアダプティブハイブリッド/混合有限要素法に関する研究

[目次]

  • CONTENTS
  • Notations / p1
  • Outline of Thesis / p4
  • Chapter1 Introduction / p6
  • Chapter2 Variational Principles and Theories of Plate and Shell Bending / p15
  • 2.1 Introduction / p15
  • 2.2 Variational Principles / p15
  • 2.3 Theories of Plate and Shell Bending / p17
  • 2.4 Variational Formulation of HMFEM for Plate and Shell Bending / p21
  • Chapter3 Hybrid/mixed Finite Element Method with Six-node Quadrilateral Plate Bending Element / p23
  • 3.1 Introduction / p23
  • 3.2 Quadrilateral Hybrid/mixed Plate Bending Element with Six-node / p23
  • 3.3 The Verification and the Proof of Solution Convergence / p24
  • 3.4 Numerical Studies / p26
  • 3.5 Conclusions / p32
  • Chapter4 Hybrid/mixed Finite Element Method with Five-node Quadrilateral Plate Bending Element / p33
  • 4.1 Introduction / p33
  • 4.2 Quadrilateral Hybrid/mixed Plate Bending Element with Five-node / p33
  • 4.3 Validation of Solution Convergence / p35
  • 4.4 Validation of the Element Performance / p37
  • 4.5 Numerical Studies / p38
  • 4.6 Comparison of Numerical Solution / p42
  • 4.7 Conclusions / p43
  • Chapter5 New Type Hybrid/mixed Shell Elements and Efficient Implementation / p45
  • 5.1 Introduction / p45
  • 5.2 A Few of New Shell Elements for Hybrid/mixed Finite Element Method / p45
  • 5.3 Test of Elements / p46
  • 5.4 Numerical Analyses / p48
  • 5.5 Folded-plate Structures / p53
  • 5.6 Conclusions / p55
  • Chapter6 A-posteriori Error Estimates and Analyses of Hybrid/mixed Finite Element Method / p56
  • 6.1 Introduction / p56
  • 6.2 A-posteriori Error Estimates for Two-dimension and Three-dimension Problems / p56
  • 6.3 A-posteriori Error Estimates of Plate and Shell Bending Problems / p64
  • 6.4 Conclusions / p66
  • Chapter7 Adaptive Hybrid/mixed Finite Element Method for Two-dimension,Plate and Shell Bending Problems / p68
  • 7.1 Introduction / p68
  • 7.2 Mesh Generation / p68
  • 7.3 h-version Hybrid/mixed Finite Element Method / p70
  • 7.4 p- and hp- version Hybrid/mixed Finite Element Methods / p76
  • 7.5 h-version Hybrid/mixed Finite Element Method for Plate and Shell Bending Problems / p78
  • 7.6 Conclusions / p79
  • Chapter8 Adaptive Hybrid/mixed Finite Element Method for Circular Plate Analysis / p80
  • 8.1 Introduction / p80
  • 8.2 Theoretical Formulation / p80
  • 8.3 Numerical Analyses / p82
  • 8.4 Adaptive Hybrid/mixed Finite Element Method for Circular Plate Structure / p87
  • 8.5 Conclusions / p88
  • Chapter9 Adaptive Hybrid/mixed Finite Element Method for Solid Problems / p90
  • 9.1 Introduction / p90
  • 9.2 Analysis of Thin to Thick Plate Bending Problem / p90
  • 9.3 Three-dimensional Structural Analysis / p95
  • 9.4 Conclusions / p97
  • Chapter10 Practical Applications of Adaptive Hybrid/mixed Finite Element Method for Structural Analysis / p98
  • 10.1 Introduction / p98
  • 10.2 Orthotropic Plate Bending Problem / p98
  • 10.3 Numerical Analysis of Timbered Bridge / p103
  • 10.4 Numerical Analysis of Adhesive-bonded Cylindrical Lap Joints / p105
  • 10.5 Dynamic Problem of Structure / p110
  • 10.6 Conclusions / p114
  • Chapter11 Conclusions / p116
  • Appendix / p118
  • References / p120
  • Acknowledgments / p125

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書名 板及びシュル構造解析のためのアダプティブハイブリッド/混合有限要素法に関する研究
著作者等 段 梅
書名ヨミ イタ オヨビ シュル コウゾウ カイセキ ノ タメ ノ アダプティブ ハイブリッド / コンゴウ ユウゲン ヨウソホウ ニ カンスル ケンキュウ
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