Obtaining a Converged Solution with Abaqus

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1 Obtaining a Converged Solution with Abaqus Day 1 Lecture 1 Workshop 1 Lecture 2 Lecture 3 Workshop 2 Lecture 4 Workshop 3 Lecture 5 Workshop 4 Introduction to Nonlinear FEA Nonlinear Spring Nonlinear FEA with Abaqus/Standard Solution of Unstable Problems Reinforced Plate Under Compressive Loads Why Abaqus Fails to Find a Converged Solution Crimp Forming Analysis Convergence Problems: Contact Simulations Contact: Beam Lift-Off

2 Day 2 Lecture 6 Workshop 5 Lecture 7 Lecture 8 Workshop 6 Workshop 7 Convergence Problems: Element Behavior Element Selection Convergence Problems: Constraints and Loading Convergence Problems: Materials Limit Load Analysis Ball Impact Legal Notices The 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. 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, Printed in the United States of America Abaqus, 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 6.9-EF Release Notes and the notices at:

3 Revision Status Lecture 1 10/09 Updated for 6.9-EF Lecture 2 10/09 Updated for 6.9-EF Lecture 3 10/09 Updated for 6.9-EF Lecture 4 10/09 Updated for 6.9-EF Lecture 5 10/09 Updated for 6.9-EF Lecture 6 10/09 Updated for 6.9-EF Lecture 7 10/09 Updated for 6.9-EF Lecture 8 10/09 Updated for 6.9-EF Workshop Answers 1 10/09 Updated for 6.9-EF Workshop Answers 4 10/09 Updated for 6.9-EF Workshop Answers 5 10/09 Updated for 6.9-EF Workshop Answers 6 10/09 Updated for 6.9-EF Workshop Answers 7 10/09 Updated for 6.9-EF Workshop 1 10/09 Updated for 6.9-EF Workshop 2 10/09 New for 6.9-EF Workshop 3 10/09 New for 6.9-EF Workshop 4 10/09 Updated for 6.9-EF Workshop 5 10/09 Updated for 6.9-EF Workshop 6 10/09 Updated for 6.9-EF Workshop 7 10/09 Updated for 6.9-EF

4 Introduction to Nonlinear FEA Lecture 1 L1.2 Why Use FEA to Solve Mechanics Problems? What is Convergence? When is a Problem Nonlinear? Properties of Linear Problems in Mechanics Properties of Nonlinear Problems in Mechanics Numerical Techniques for Solving Nonlinear Problems

5 Nonlinear FEA with Abaqus/Standard Lecture 2 L2.2 Equilibrium Revisited Nonlinear Solution Methods Abaqus/Standard Convergence Criteria: An Automatic Time Incrementation Contact Convergence

6 Solution of Unstable Problems Lecture 3 L3.2 Unstable Quasi-Static Problems Globally Unstable Problems Stabilization of Local Instabilities Symptoms of Local Instability Automated Viscous Damping Implicit Dynamics Examples Stabilization of Initial Rigid Body Motion

7 Why Abaqus Fails to Find a Converged Solution Lecture 4 L4.2 The Basic Problems Understanding the Warning Messages Helping Abaqus Find a Converged Solution

8 Convergence Problems: Contact Simulations Lecture 5 L5.2 Unstable Separation of Contacting Surfaces Chattering Between Contact Surfaces Contact with Quadratic Elements Poorly Defined Master Surfaces Friction

9 Convergence Problems: Element Behavior Lecture 6 L6.2 Hourglassing in Reduced-Integration Elements Checkerboarding Ill-Conditioning

10 Convergence Problems: Constraints and Loading Lecture 7 L7.2 General Remarks Overconstraints Detected in the Analysis Preprocessor Overconstraints Detected/Resolved During the Analysis Controlling the Overconstraint Checks Example: Four-bar Linkage Nonconservative Loads

11 Convergence Problems: Materials Lecture 8 L8.2 Large Strains and Linear Elasticity Unstable Material Behavior Example: Plate with a Hole Unsymmetric Material Stiffness Example: Concrete Slump Test

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