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WissenschaftlicheArbeit.out
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\BOOKMARK [0][-]{chapter.1}{Introduction}{}% 1
\BOOKMARK [0][-]{chapter.2}{Shell finite elements}{}% 2
\BOOKMARK [1][-]{section.2.1}{Structural modelling with shells}{chapter.2}% 3
\BOOKMARK [1][-]{section.2.2}{Shell models}{chapter.2}% 4
\BOOKMARK [1][-]{section.2.3}{Locking in shell finite elements}{chapter.2}% 5
\BOOKMARK [1][-]{section.2.4}{Shell finite element technologies}{chapter.2}% 6
\BOOKMARK [1][-]{section.2.5}{Identification of Kratos shell element formulations}{chapter.2}% 7
\BOOKMARK [1][-]{section.2.6}{Chapter summary}{chapter.2}% 8
\BOOKMARK [0][-]{chapter.3}{Composite shells}{}% 9
\BOOKMARK [1][-]{section.3.1}{Composite material basics}{chapter.3}% 10
\BOOKMARK [1][-]{section.3.2}{Orthotropic shell laminates: internal virtual work}{chapter.3}% 11
\BOOKMARK [1][-]{section.3.3}{Laminate strain and stress recovery}{chapter.3}% 12
\BOOKMARK [1][-]{section.3.4}{Laminate Tsai-Wu failure criterion}{chapter.3}% 13
\BOOKMARK [1][-]{section.3.5}{Chapter summary}{chapter.3}% 14
\BOOKMARK [0][-]{chapter.4}{Non-linear analysis background}{}% 15
\BOOKMARK [1][-]{section.4.1}{Response diagrams}{chapter.4}% 16
\BOOKMARK [1][-]{section.4.2}{Critical points and stability criterion}{chapter.4}% 17
\BOOKMARK [1][-]{section.4.3}{Linear Prebuckling analysis}{chapter.4}% 18
\BOOKMARK [1][-]{section.4.4}{Non-linear analysis example: Mises Truss stability analysis}{chapter.4}% 19
\BOOKMARK [1][-]{section.4.5}{Co-rotational transformation approach}{chapter.4}% 20
\BOOKMARK [1][-]{section.4.6}{EICR formulation overview}{chapter.4}% 21
\BOOKMARK [1][-]{section.4.7}{Chapter summary}{chapter.4}% 22
\BOOKMARK [0][-]{chapter.5}{DSG linear triangle shell element}{}% 23
\BOOKMARK [1][-]{section.5.1}{Stiffness matrix formulation}{chapter.5}% 24
\BOOKMARK [1][-]{section.5.2}{Stiffness matrix implementation}{chapter.5}% 25
\BOOKMARK [1][-]{section.5.3}{Mass matrix formulation and implementation}{chapter.5}% 26
\BOOKMARK [1][-]{section.5.4}{Stress and strain recovery}{chapter.5}% 27
\BOOKMARK [1][-]{section.5.5}{Chapter summary}{chapter.5}% 28
\BOOKMARK [0][-]{chapter.6}{ANDES-DKQ linear quadrilateral shell element}{}% 29
\BOOKMARK [1][-]{section.6.1}{Stiffness matrix formulation}{chapter.6}% 30
\BOOKMARK [1][-]{section.6.2}{Stiffness matrix implementation}{chapter.6}% 31
\BOOKMARK [1][-]{section.6.3}{Mass matrix formulation and implementation}{chapter.6}% 32
\BOOKMARK [1][-]{section.6.4}{Stress and strain recovery}{chapter.6}% 33
\BOOKMARK [1][-]{section.6.5}{Chapter summary}{chapter.6}% 34
\BOOKMARK [0][-]{chapter.7}{Extension of isotropic shells to composite laminates}{}% 35
\BOOKMARK [1][-]{section.7.1}{Composite constitutive matrix formulation}{chapter.7}% 36
\BOOKMARK [1][-]{section.7.2}{Composite constitutive matrix implementation}{chapter.7}% 37
\BOOKMARK [1][-]{section.7.3}{Composite stress recovery}{chapter.7}% 38
\BOOKMARK [1][-]{section.7.4}{Tsai-Wu failure criterion}{chapter.7}% 39
\BOOKMARK [1][-]{section.7.5}{Chapter summary}{chapter.7}% 40
\BOOKMARK [0][-]{chapter.8}{Validation of the elements}{}% 41
\BOOKMARK [1][-]{section.8.1}{Linear static tests: shell obstacle course}{chapter.8}% 42
\BOOKMARK [1][-]{section.8.2}{Geometrically non-linear static tests}{chapter.8}% 43
\BOOKMARK [1][-]{section.8.3}{Geometrically linear and non-linear dynamic tests}{chapter.8}% 44
\BOOKMARK [1][-]{section.8.4}{Quantity recovery tests}{chapter.8}% 45
\BOOKMARK [1][-]{section.8.5}{Composite tests}{chapter.8}% 46
\BOOKMARK [1][-]{section.8.6}{Chapter summary}{chapter.8}% 47
\BOOKMARK [0][-]{chapter.9}{Applications and consequences of element formulations}{}% 48
\BOOKMARK [1][-]{section.9.1}{Euler buckling of CHS column}{chapter.9}% 49
\BOOKMARK [1][-]{section.9.2}{Shear wrinkling of plate}{chapter.9}% 50
\BOOKMARK [1][-]{section.9.3}{Structural modelling suggestions and chapter summary}{chapter.9}% 51
\BOOKMARK [0][-]{chapter.10}{Extension of DSG linear triangle element technology}{}% 52
\BOOKMARK [1][-]{section.10.1}{DSGc3 approach}{chapter.10}% 53
\BOOKMARK [1][-]{section.10.2}{Cell Smoothed DSG approach}{chapter.10}% 54
\BOOKMARK [1][-]{section.10.3}{Appraisal of alternative DSG technology approaches}{chapter.10}% 55
\BOOKMARK [1][-]{section.10.4}{Chapter summary}{chapter.10}% 56
\BOOKMARK [0][-]{chapter.11}{Conclusions and outlook}{}% 57
\BOOKMARK [1][-]{section.11.1}{Future opportunities}{chapter.11}% 58
\BOOKMARK [1][-]{section.11.2}{Concluding remarks}{chapter.11}% 59
\BOOKMARK [0][-]{Appendix.a.A}{Appendix Analytical stability analysis of Mises truss}{}% 60
\BOOKMARK [0][-]{Appendix.a.B}{Appendix DSG technology derivation}{}% 61
\BOOKMARK [0][-]{Appendix.a.C}{Appendix Basic-DKQ formulation}{}% 62
\BOOKMARK [0][-]{Appendix.a.D}{Appendix Basic-T3 formulation}{}% 63
\BOOKMARK [0][-]{Appendix.a.E}{Appendix Analytical membrane analysis of a dome}{}% 64
\BOOKMARK [0][-]{Appendix.a.F}{Appendix Derivation of Euler buckling load}{}% 65
\BOOKMARK [0][-]{Appendix.a.G}{Appendix DSG element class in Kratos}{}% 66
\BOOKMARK [1][-]{section.a.G.1}{ShellThickElement3D3N methods}{Appendix.a.G}% 67
\BOOKMARK [1][-]{section.a.G.2}{ShellThickElement3D3N member variables}{Appendix.a.G}% 68
\BOOKMARK [0][-]{Appendix.a.H}{Appendix ANDES-DKQ class in Kratos}{}% 69
\BOOKMARK [1][-]{section.a.H.1}{ShellThinElement3D4N methods}{Appendix.a.H}% 70
\BOOKMARK [1][-]{section.a.H.2}{ShellThinElement3D4N member variables}{Appendix.a.H}% 71