Palazotto, Anthony N.

Nonlinear Analysis of Shell Structures. - 1st ed. - 1 online resource (267 pages) - AIAA Education Series . - AIAA Education Series .

Cover -- Title -- Copyright -- Preface -- Table of Contents -- Chapter 1. Introduction -- 1.1 Shell Theories -- 1.2 Finite Element Shell Applications -- 1.3 Solution Algorithms -- 1.4 Concluding Remarks -- References -- Chapter 2. Theoretical Considerations -- 2.1 General Relationships -- Strain Displacement in Curvilinear Coordinates -- Surface/Shell Geometric Definitions -- Virtual Work, Generalized Hooke's Law, and Potential Energy -- 2.2 Basic Assumptions and Approach -- 2.3 Kinematics -- 2.4 Shell Strain Displacement Relations -- 2.5 Shell Potential Energy -- 2.6 Concluding Remarks -- Appendix A: Strain Displacement for Arbitary Shell Geometry -- Appendix B: Von Karman Plate and Donnell Shell Strain Displacement Relations -- References -- Chapter 3. Finite Element Solution -- 3.1 Element-Independent Formulation -- 3.2 28- and 36-Degree-of-Freedom Curved Elements -- 3.3 Coupling Characteristics -- Appendix C: Finite Element Strain Definition Arrays -- References -- Chapter 4. Linear Plate Solutions -- 4.1 Linear Solution Algorithm -- 4.2 Flat Plate in Cylinderic Bending -- Isotropic Plate Strip -- Orthotropic Plate Strip -- Laminated Plate Strips -- 4.3 Rectangular Flat-Plate Bending -- Rectangular Isotropic Plates -- Rectangular Orthotropic Plates -- Rectangular Laminated Plates -- 4.4 Shear Locking -- 4.5 Patch Test -- 4.6 Concluding Remarks -- References -- Chapter 5. Geometrically Nonlinear Plate Solutions -- 5.1 Newton-Raphson Nonlinear Solution Algorithm -- 5.2 Isotropic Plate Bending -- 5.3 Laminated Plate Bending -- 5.4 Plate Parameter Study -- 5.5 Concluding Remarks -- References -- Chapter 6. Linear Cylindrical Shell Solutions -- 6.1 Cylindrical Shell in Cylindrical Bending -- Isotropic Cylindrical Shell Strip -- Laminated Cylindrical Shell Strip -- 6.2 Isotropic Cylindrical Shells -- Clamped Shallow Shell -- Barrell Vault. Pinched Cylinder -- 6.3 Cylindrical Pressure Vessels -- Thin Isotropic Pressure Vessel -- Thick Isotropic, Orthotropic, and Laminated Pressure Vessels -- Countershear Point -- Thick-Disk Comparison -- 6.4 Concluding Remarks -- References -- Chapter 7. Geometrically Nonlinear Cylindrical Shell Solutions -- 7.1 Isotropic Cylindrical Shells -- 7.2 Isotropic Deep Arches -- 7.3 Modified Riks-Wempner Constant Arc Length Algorithm -- 7.4 Laminated Cylindrical Deep Panels -- 7.5 Laminated Shell with a Cutout -- 7.6 Concluding Remarks -- References -- Chapter 8. Bifurcation Solutions -- 8.1 Bifurcation Algorithm -- 8.2 Euler Column Buckling -- 8.3 Isotropic Flat-Plate Bifurcation -- 8.4 Laminated Flat-Plate Bifurcation -- 8.5 Cylindrical Shell Bifurcation -- 8.6 Concluding Remarks -- References -- Subject Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Y.

9781600860911


Shells (Engineering).
Nonlinear theories.
Composite construction.


Electronic books.

TA660.S5 -- P345 1992eb

624.1/7762