Buckling, Postbuckling, and Collapse Analysis with Abaqus| www.3ds.com | © Dassault Systèmes |Day 1•Lecture 1•Workshop 1•Lecture 2| www.3ds.com | © Dassault Systèmes |Basic Concepts and OverviewBuckling and Postbuckling Analyses of a Crane StructureFinite Element FormulationFinite Element Implementation in AbaqusEigenvalue Buckling AnalysisEigenvalue Buckling of a RingSubjected to External PressureElastic Buckling of Ring-Supported Cylindrical Shell under Hydrostatic Pressure•Lecture 3•Lecture 4•Workshop 2•Workshop 3Buckling, Postbuckling, and Collapse Analysis with AbaqusDay 2•Lecture 5Regular and Damped Static Solution Procedures for Postbuckling Analyses•Workshop 4•Workshop 5•Lecture 6•Workshop 5•Lecture 7•Workshop 5•Workshop 6•Lecture 8•Workshop 7•Workshop 8Nonlinear Buckling of Ring-Supported Cylindrical Shell under Hydrostatic PressureStatic Buckling Analysis of a Circular ArchModified Riks Static Solution Procedure for Postbuckling AnalysesStatic Buckling Analysis of a Circular Arch (continued)Dynamic Analysis Solution Proceduresfor Postbuckling AnalysesStatic Buckling Analysis of a Circular Arch (continued)Tube Crush Dynamic AnalysisPutting It All Together…Capstone Workshop: Lee’s Frame Buckling ProblemBuckling and Postbuckling Analyses of a Stiffened Panel| www.3ds.com | © Dassault Systèmes |Buckling, Postbuckling, and Collapse Analysis with AbaqusLegal NoticesThe Abaqus Software described in this documentation is available only under license from Dassault Systèmes and its subsidiary and may be used or reproduced only in accordance with the terms of such license.This documentation and the software described in this documentation are subject to change without prior notice.| www.3ds.com | © Dassault Systèmes |Dassault Systèmes and its subsidiaries shall not be responsible for the consequences of any errors or omissions that may appear in this documentation. No part of this documentation may be reproduced or distributed in any form without prior written permission of Dassault Systèmes or its subsidiary.© Dassault Systèmes, 2011.Printed in the United States of AmericaAbaqus, the 3DS logo, SIMULIA and CATIA are trademarks or registered trademarks of Dassault Systèmes or its subsidiaries in the US and/or other countries.Other company, product, and service names may be trademarks or service marks of their respective owners. For additional information concerning trademarks, copyrights, and licenses, see the Legal Notices in the Abaqus 6.11 Release Notes and the notices at: http://www.simulia.com/products/products_legal.html.Buckling, Postbuckling, and Collapse Analysis with AbaqusRevision StatusLecture 1Lecture 2Lecture 3Lecture 4Lecture 5| www.3ds.com | © Dassault Systèmes |5/115/115/115/115/115/115/115/115/115/115/115/115/115/115/115/11Updated for 6.11Updated for 6.11Updated for 6.11Updated for 6.11Updated for 6.11Updated for 6.11Updated for 6.11Updated for 6.11Updated for 6.11Updated for 6.11Updated for 6.11Updated for 6.11Updated for 6.11Updated for 6.11Updated for 6.11Updated for 6.11Lecture 6Lecture 7Lecture 8Workshop 1Workshop 2Workshop 3Workshop 4Workshop 5Workshop 6Workshop 7Workshop 8Buckling, Postbuckling, and Collapse Analysis with AbaqusBasic Concepts and OverviewLecture 1| www.3ds.com | © Dassault Systèmes |L1.2Overview•Introduction•Solution Techniques•Analysis Selection Guide| www.3ds.com | © Dassault Systèmes |•Example: Lee’s Frame Buckling Problem•Summary•WorkshopBuckling, Postbuckling, and Collapse Analysis with AbaqusFinite Element FormulationLecture 2| www.3ds.com | © Dassault Systèmes |L2.2Introduction•Basic Equations in Finite Element Analysis •Linearization •Nonlinear Problems in Mechanics| www.3ds.com | © Dassault Systèmes |•Geometrically Nonlinear Analysis•Stress and Strain Measures•Equilibrium and Virtual Work•SummaryBuckling, Postbuckling, and Collapse Analysis with AbaqusFE Implementation in AbaqusLecture 3| www.3ds.com | © Dassault Systèmes |L3.2Outline•Abaqus Definitions•General and Perturbation Procedures•Including Nonlinear Effects in an Abaqus Simulation•General Procedure Solution Techniques| www.3ds.com | © Dassault Systèmes |•Nonlinear Analysis Using Implicit Methods•Solution Control•Diagnostics•Riks Method•Automatic Time Incrementation•General Procedure Implicit Equation Solvers •Nonlinear Analysis Using Explicit Methods •Perturbation Procedure Solution Techniques •Introducing Imperfections for Postbuckling Simulations•SummaryBuckling, Postbuckling, and Collapse Analysis with AbaqusEigenvalue Buckling AnalysisLecture 4| www.3ds.com | © Dassault Systèmes |L4.2Overview•Introduction •Eigenvalue Problem Formulation •Abaqus Usage | www.3ds.com | © Dassault Systèmes |•Example: Buckling of a Thin Cylindrical Shell•Closely Spaced Eigenvalues•Symmetry in Buckling Analyses•Concluding Remarks•WorkshopsBuckling, Postbuckling, and Collapse Analysis with AbaqusRegular and Damped Static Solution Procedures for Postbuckling AnalysesLecture 5| www.3ds.com | © Dassault Systèmes |L5.2Overview•Motivation•Regular Static Procedure•Motivation for Damped Static Procedures| www.3ds.com | © Dassault Systèmes |•Automatic Stabilization•Dashpots•Postbuckling and Loss of Contact•Summary for Damped Static Procedures•Concluding Remarks•WorkshopsBuckling, Postbuckling, and Collapse Analysis with AbaqusModified Riks Static Solution Procedure for Postbuckling AnalysesLecture 6| www.3ds.com | © Dassault Systèmes |L6.2Overview•Introduction•Abaqus Implementation•Abaqus Usage| www.3ds.com | © Dassault Systèmes |•Snap-Through Problems•Postbuckling Problems•Postbuckling Examples •Usage Tips•Limitations•Concluding Remarks•WorkshopBuckling, Postbuckling, and Collapse Analysis with AbaqusDynamic Analysis Solution Procedures for Postbuckling AnalysesLecture 7| www.3ds.com | © Dassault Systèmes |L7.2Overview•What Makes a Problem Dynamic? •Equations for Dynamic Problems •Nonlinear Dynamics| www.3ds.com | © Dassault Systèmes |•Workshop•Analyzing Highly Nonlinear Quasi-Static Problems•Quasi-Static Simulations Using Explicit Dynamics •Example: Dynamic Tube Collapse•Concluding Remarks•WorkshopBuckling, Postbuckling, and Collapse Analysis with AbaqusPutting It All Together…Lecture 8| www.3ds.com | © Dassault Systèmes |L8.2Overview•Buckling Analysis Selection Guide Revisited •Weatherseal Example•References for Further Study| www.3ds.com | © Dassault Systèmes |•WorkshopsBuckling, Postbuckling, and Collapse Analysis with Abaqus