Finite elements for engineers with Ansys applications / Mohamed Gadala, University of British Columbia, Vancouver.

Format:

Book

Author/Creator:

Gadala, Mohamed, author.

Language:

English

Subjects (All):

Engineering mathematics.

Finite element method.

Physical Description:

xv, 613 pages : illustrations ; 26 cm

Place of Publication:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2021.

Summary:

"The finite element method (FEM) is indispensable in modeling and simulation in various engineering and physical systems, including structural analysis, stress, strain, fluid mechanics, heat transfer, dynamics, eigenproblems, design optimization, sound propagation, electromagnetics, and coupled field problems. Incorporating theory, development of method, and the use of FEM in the commercial sector, this textbook integrates basic theory with real-life, design-oriented problems using ANSYS, the most commonly used computational software in the field"-- Provided by publisher.

Contents:

Machine generated contents note: 1. Finite Element Concepts

Chapter Roadmap

1.1. General Solution of Continuum Problems

1.2. What is the Finite Element Method?

1.3. Basic Concepts and Definitions

1.4. Element Types and Degrees of Freedom (DOFs)

1.4.1. Truss Elements

1.4.2. Beam Elements

1.4.3. Two-Dimensional Elements

1.4.4. Three-Dimensional Shell Elements

1.4.5. Three-Dimensional Solid Elements

1.5. General Procedures for Finite Element Analysis

1.5.1. Basic Procedures in Finite Element Analysis

1.5.2. Phases of Finite Element Analysis in Commercial Programs

1.6. Brief History of the Development of the FE Method

1.6.1. Ancient Roots of the FE Method

1.6.2. History of the Development of the FE Method

1.6.3. History of the Development of Computers and FE Software Programs

Early Software Development

The Law-of-the-Land (Moore's)

The Pre-Personal-Computer Era

The Personal-Computer Era

64 Bits and Parallelization

1.6.4. Future Outlook and What's Next?

1.7. Finite Element Applications

1.7.1. Various Types of Application

Problems

2. Detailed Procedures

2.1. Element Characteristic Equations for Simple Elements

2.1.1. Simple Truss Element - One DOF per node

2.1.2. One-Dimensional Heat Transfer Element

2.1.3. Pipe Flow Element

2.1.4. Direct Current Flow Element

2.1.5. Torsional Element

2.2. Simple Beam Element

2.3. Assembling of Global Equations

2.4. Application of Boundary Conditions

2.4.1. Rigid Body Motion

2.4.2. Applying Boundary Conditions

2.4.3. Application Example: Beam Element with a Hinge

2.5. Coordinate Transformations and More Element Equations

2.5.1. Coordinate Transformation

2.5.2. General Two-Dimensional Truss Element

2.5.3. General Two-Dimensional Beam Element

2.5.4. Three-Dimensional Truss Element

2.5.5. Three-Dimensional Beam Element

3. Modeling Aspects

3.1. The Modeling Process

3.2. Geometric Modeling

Key Points

Line or Line Segment

Area or Patch

Volume or Hyperpatch

Boolean Operations

Theory of Parametric Cubic Geometry

3.3. Discrete Element Types in FE Programs

3.3.1. Concentrated Mass-Inertia Elements

3.3.2. Spring and Damper Elements

3.4. Problem Classification and Element Choice

3.4.1. Truss and Beam Problems

3.4.2. Two-Dimensional Problems

2D Plane Stress Problems

2D Plane Strain Problems

2D Axisymmetric Problems

3.4.3. Shell Problems

3.4.4. Three-Dimensional Solid Problems

3.5. Synopsis of Problem Classification and Element Choice

3.6. Symmetry Considerations

3.6.1. Planar Symmetry

3.6.2. Axial Symmetry

3.6.3. Cyclic Symmetry

3.6.4. Symmetric Structure with Non-Symmetric Loading

3.7. Boundary Conditions

3.7.1. Eliminating Rigid Body Motion

3.7.2. Modeling Supports

3.8. Mesh Intensity and Transition

3.9. Modeling with Different Element Types

3.10. Lumped Load Vectors

3.10.1. Lumped Load Methods

3.10.2. Node-by-Node Lumping

3.10.3. Element-by-Element Lumping

3.11. Model Checking

3.11.1. Checks Initiated by the Program

3.11.2. Checks Performed by the User

3.12. General Modeling Hints

4. Linear Static Analysis Using Ansys/Workbench

4.1. Introduction to the Ansys Program

4.1.1. Operation Modes in Ansys

4.1.2. Starting up Ansys

4.1.3. Windows in Ansys

4.1.4. Ansys Structure and Files

4.2. Ansys Project 1: Analysis of a 2D Support Bracket

4.2.1. Problem Description

4.2.2. Create the Model Geometry

4.2.3. Generate the FE Model

4.2.4. Solution Operation

4.2.5. Displaying the Results and Exiting Ansys

4.2.6. Batch Type Solution

4.2.7. Mesh Sensitivity Analysis

4.3. Introduction to Workbench

4.3.1. Layout of Program Menus

4.3.2. Overview of the Geometry and the DesignModeler Capabilities

4.4. Workbench Project 1: 2D Cantilever Bracket

4.4.1. Create the Model Geometry

4.4.2. Generate the FE Model

4.4.3. Solution, Results and Mesh Refinement

4.5. Workbench Project 2: 3D T-Junction Analysis

4.5.1. Problem Description

4.5.2. Creating the Geometry

4.5.3. T-Junction FE Model and Solution

5. Finite Element Formulations

5.1. Overview

5.2. Strong and Weak Forms of the Problem

5.3. FE Virtual Work Formulations

5.4. Principle of Minimum Potential Energy and the Rayleigh-Ritz Method

5.5. Linear Elastic FE Analysis Using Virtual Work Principle

5.6. Heat Conduction Analysis Using Virtual Work Principle

5.7. Method of Weighted Residuals (MWRs)

5.7.1. Overview of MWRs

5.7.2. Various Weighted Residual Methods

Point and Subdomain Collocation Methods

Continuous Least Squares Method

Least Squares Collocation Method

Galerkin Methods

5.8. Galerkin Formulation of 2D Linear Elasticity Problems

5.9. Formulation of Heat Conduction Analysis

5.9.1. Heat Conduction Analysis Using Variational Principles

5.9.2. 3D Heat Conduction Analysis Using the Galerkin Formulation

Project Type Problems

6. Linear Static Analysis

6.1. Linear Elastic Analysis Formulation

6.1.1. Problem Formulation by the Virtual Work and Galerkin Principles

6.1.2. Specialization to Two-Dimensional Problems

6.2. Application to General Three-Dimensional Solid Elements

6.3. Development of Simple Beam Element

6.4. Development of Two-Dimensional Elements

6.4.1. Plane Stress or Strain Triangular Element with Three Nodes

6.4.2. Plane Stress or Strain Rectangular Element with Four Nodes

6.4.3. Axisymmetric Triangular Ring Element with Three Nodes

6.5. Development of Three-Dimensional Solid Elements

6.5.1. Tetrahedron Element with Four Nodes

6.6. Thermal Stresses

6.6.1. Constitutive Equations with Thermal Effect

6.6.2. Element Equations with Thermal Effect

6.7. Isoparametric Elements

6.7.1. General Concepts and the Need for Isoparametric Elements

6.7.2. Development of 1D Truss Element

6.7.3. Development of 2D Quadrilateral Element with Four to Nine Nodes

6.7.4. Development of 2D Triangular Element with Three to Six Nodes

6.7.5. Development of 3D Hexahedral or Cubical Element with Eight to 20 Nodes

6.7.6. Development of 3D Tetrahedral Elements

6.8. Application of Multi-Point Linear Constraint Equations (MPCs)

6.8.1. Types of Constraint

6.8.2. Method of Substitution

6.8.3. Lagrange Multiplier Method

6.8.4. Penalty Method

Multiple Choice Questions

7. Conduction Heat Transfer Analysis

7.1. General Background

7.1.1. Basic Modes of Heat Transfer

Conduction

Convection

Radiation

7.1.2. The One-Dimensional Heat Conduction Equation

7.1.3. Boundary Conditions

7.1.4. Sources of Nonlinearity

7.2. FE Formulation of the Heat Conduction Problem

7.3. Solution of the Transient Heat Transfer Equations

7.3.1. General Considerations

7.3.2. Direction Integration Method

Linearization of the General Equation

The oc-Method

General Solution Steps

Stability and Accuracy Considerations

Accuracy of the oc-Method

7.4. Element Equations for Heat Transfer Analysis

7.4.1. One-Dimensional Elements

7.4.2. Two-Dimensional Elements

Three-Node Plane Triangular Elements

Three-Node Axisymmetric Elements

Isoparametric Elements

7.5. Ansys/Workbench Project: Square Plate with Prescribed Temperature Boundary Conditions

Problem Statement

Approach and Assumptions

Solution Steps

Project Type Problems.

Notes:

Includes bibliographical references and index.

Other Format:

Online version: Gadala, Mohamed, Finite elements for engineers with ANSYS applications

ISBN:

9781107194083

1107194083

OCLC:

1113924832

Publisher Number:

99987477366