Mechanics of aeronautical solids, materials and structures / Christophe Bouvet.

Format:

Book

Author/Creator:

Bouvet, Christophe, author.

Series:

Mechanical engineering and solid mechanics series.

Mechanical Engineering and Solid Mechanics Series

Language:

English

Subjects (All):

Aerospace engineering.

Mechanical engineering.

Physical Description:

1 online resource (309 pages) : illustrations (some color).

Edition:

1st ed.

Place of Publication:

London, England ; Hoboken, New Jersey : ISTE : Wiley, 2017.

Summary:

The objective of this work on the mechanics of aeronautical solids, materials and structures is to give an overview of the principles necessary for sizing of structures in the aeronautical field. It begins by introducing the classical notions of mechanics: stress, strain, behavior law, and sizing criteria, with an emphasis on the criteria specific to aeronautics, such as limit loads and ultimate loads. Methods of resolution are then presented, and in particular the finite element method. Plasticity is also covered in order to highlight its influence on the sizing of structures, and in particular its benefits for design criteria. Finally, the physics of the two main materials of aeronautical structures, namely aluminum and composite materials, is approached in order to clarify the sizing criteria stated in the previous chapters. Exercises, with detailed corrections, then make it possible for the reader to test their understanding of the different subjects.

Contents:

Cover

Title Page

Copyright

Contents

Foreword

Preface

Introduction

I.1. Outlining the problem

1. Stress

1.1. Notion of stress

1.1.1. External forces

1.1.2. Internal cohesive forces

1.1.3. Normal stress, shear stress

1.2. Properties of the stress vector

1.2.1. Boundary conditions

1.2.2. Torsor of internal forces

1.2.3. Reciprocal actions

1.2.4. Cauchy reciprocal theorem

1.3. Stress matrix

1.3.1. Notation

1.3.2. Invariants of the stress tensor

1.3.3. Relation between the stress matrix and the stress vector

1.3.4. Principal stresses and principal directions

1.4. Equilibrium equation

1.5. Mohr's circle

2. Strain

2.1. Notion of strain

2.1.1. Displacement vector

2.1.2. Unit strain

2.1.3. Angular distortion

2.2. Strain matrix

2.2.1. Definition of the strain matrix

2.2.2. Principal strains and principal directions

2.2.3. Volume expansion

2.2.4. Invariants of strain tensor

2.2.5. Compatibility condition

2.3. Strain measurement: strain gage

3. Behavior Law

3.1. A few definitions

3.2. Tension test

3.2.1. Brittle materials

3.2.2. Ductile materials

3.2.3. Particular cases

3.3. Shear test

3.3.1. Brittle materials

3.3.2. Ductile materials

3.4. General rule

3.4.1. Linear elasticity

3.5. Anisotropic materials: example of a composite

3.5.1. Elasticity

3.6. Thermoelasticity

4. Resolution Methods

4.1. Assessment

4.2. Displacement method

4.3. Stress method

4.4. Finite element method

5. Work-energy Theorem: Principle of Finite Element Method

5.1. Work-energy theorem

5.1.1. Hypotheses

5.1.2. Strain energy

5.1.3. Work of external forces

5.1.4. Strain energy

5.1.5. Energy minimization: Ritz method

5.2. Finite element method

5.2.1. General principle of finite element method.

5.2.2. Example of the three-node triangular element

5.3. Application: triangle with plate finite element using Catia

6. Sizing Criteria of an Aeronautical Structure

6.1. Introduction

6.2. Experimental determination of a sizing criterion

6.3. Normal stress or principal stress criterion: brittle material

6.4. Stress or maximum shear energy criterion: ductile material

6.4.1. Tresca criterion

6.4.2. Von Mises criterion

6.4.3. Rupture of a ductile material

6.5. Maximum shear criterion with friction: compression of brittle materials

6.6. Anisotropic criterion: example of the composite

7. Plasticity

7.1. Introduction

7.2. Plastic instability: necking, true stress and true strain

7.3. Plastic behavior law: Ramberg-Osgood law

7.4. Example of an elastic-plastic calculation: plate with open hole in tension

8. Physics of Aeronautical Structure Materials

8.1. Introduction

8.2. Aluminum 2024

8.3. Carbon/epoxy composite T300/914

8.4. Polymers

9. Exercises

9.1. Rosette analysis

9.2. Pure shear

9.3. Compression of an elastic solid

9.4. Gravity dam

9.5. Shear modulus

9.6. Modulus of a composite

9.7. Torsional cylinder

9.8. Plastic compression

9.9. Bi-material beam tension

9.10. Beam thermal expansion

9.11. Cube under shear stress

9.12. Spherical reservoir under pressure

9.13. Plastic bending

9.14. Disc under radial tension

9.15. Bending beam: resolution by the Ritz method

9.16. Stress concentration in open hole

9.17. Bending beam

10. Solutions to Exercises

10.1. Rosette analysis

10.2. Pure shear

10.3. Compression of an elastic solid

10.4. Gravity dam

10.5. Shear modulus

10.6. Modulus of a composite

10.7. Torsional cylinder

10.8. Plastic compression

10.9. Bi-material beam tension

10.10. Beam thermal expansion.

10.11. Cube under shear stress

10.12. Spherical reservoir under pressure

10.13. Plastic bending

10.14. Disc under radial tension

10.15. Bending beam: resolution by the Ritz method

10.16. Stress concentration in open hole

10.17. Bending beam

Appendix: Analysis Formulas

A.1. Analysis formulas in Cartesian coordinates

A.2. Analysis formulas in cylindrical coordinates

A.3. Analysis formulas in spherical coordinates

Bibliography

Index

Other titles from iSTE in Mechanical Engineering and Solid Mechanics

EULA.

Notes:

Includes bibliographical references and index.

Description based on print version record.

ISBN:

9781119413684

1119413680

9781119413400

1119413400

9781119413714

1119413710

OCLC:

978999919