A Simplified Approach to the Classical Laminate Theory of Composite Materials : Application of Bar and Beam Elements.

Format:

Book

Author/Creator:

Öchsner, Andreas.

Series:

Advanced Structured Materials Series

Advanced Structured Materials Series ; v.192

Language:

English

Subjects (All):

Composite materials.

Structural analysis (Engineering).

Physical Description:

1 online resource (132 pages)

Edition:

1st ed.

Place of Publication:

Cham : Springer, 2023.

Summary:

This book provides a systematic introduction to the classical laminate theory of composite materials, focusing on a simplified approach to understand complex engineering concepts. It explores the interaction between materials and their structure at different scales, offering insights into the mechanical, thermal, chemical, electrical, and magnetic properties of composite materials. The book aims to bridge the knowledge gap in engineering programs by simplifying the classical laminate theory using isotropic elements like bar and beam elements. It covers stress analysis and failure analysis using criteria such as maximum stress, maximum strain, Tsai–Hill, and Tsai–Wu criteria. The intended audience includes engineering students and professionals seeking to enhance their understanding of advanced structured materials. Generated by AI.

Contents:

Intro

Preface

Contents

Symbols and Abbreviations

Latin Symbols (Capital Letters)

Latin Symbols (Small Letters)

Latin Numbers

Greek Symbols

Mathematical Symbols

Indices, Superscripted

Indices, Subscripted

Abbreviations

1 Introduction

References

2 Bar Elements

2.1 Introduction

2.2 Kinematics

2.3 Constitutive Equation

2.4 Equilibrium

2.5 Differential Equation

3 Euler-Bernoulli Beam Elements

3.1 Introduction

3.2 Kinematics

3.3 Constitutive Equation

3.4 Equilibrium

3.5 Differential Equation

4 Combination of Bar and Beam Elements

4.1 Introduction

4.2 Kinematics

4.3 Constitutive Equation

4.4 Equilibrium

4.5 Differential Equations

4.6 Failure Criteria

4.6.1 Maximum Stress Criterion

4.6.2 Maximum Strain Criterion

4.6.3 Tsai-Hill Criterion

4.6.4 Tsai-Wu Criterion

5 Classical Laminate Theory for One-Dimensional Elements

5.1 Introduction

5.2 Generalized Stress-Strain Relationship

5.3 Failure Analysis

6 Example Problems

6.1 Introduction

6.2 Problem 1: Stresses and Strains in a Symmetric Laminate

6.3 Problem 2: Stresses and Strains in an Asymmetric Laminate

6.4 Problem 3: Failure Criteria

6.5 Problem 4: Ply-By-Ply Failure Loads

7 Outlook to the Two-Dimensional Case

7.1 Introduction

7.2 Failure Analysis

Appendix A Mathematics

A.1 Greek Alphabet

A.2 Frequently Used Constants

A.3 Special Products

A.4 Trigonometric Functions

A.5 Derivatives

A.6 Taylor's Series Expansion

A.7 Matrix Operations

A.8 Solution of Linear Systems of Equations

A.9 Elementary Geometry

A.10 Analytical Geometry

Appendix B Mechanics

B.1 Centroids

B.2 Second Moment of Area

B.3 Parallel-Axis Theorem.

Appendix C Units and Conversion

C.1 SI Base Units

C.2 Coherent SI Derived Units

C.3 Consistent Units

C.4 Conversion of Important English Units to the Metric System

Index.

Notes:

Description based on publisher supplied metadata and other sources.

Part of the metadata in this record was created by AI, based on the text of the resource.

ISBN:

9783031381928

3031381920

OCLC:

1399170724