Mechanics of Aeronautical Solids, Materials and Structures

Christophe Bouvet

• Publisher: Wiley-ISTE
• Year: 2017
• Print ISBN:
  9781786301154
• eBook ISBN:
  9781119413714
• Edition: 1
• Topic: Physical Sciences
• Subtopic: Mechanics

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.

 

1
Stress

1.1. Notion of stress

1.1.1. External forces

There are three types of external forces:

• – concentrated forces: this is a force exerted on a point (in Newton units, noted as N). In practice, this force does not actually exist. It is just a model. If we were to apply a force to a point that has zero surface, the contact pressure would be infinite and the deformation of the solid would therefore induce a non-zero contact surface. Nevertheless, it can still be imagined for studying problems with a very concentrated contact type load between balls. The results will thus yield an infinite stress and will need to be interpreted accordingly;
• – surface forces, which will be noted as F_ext for the rest of this volume (in Pascal units, it is noted Pa). This type of force includes contact forces between two solids as well as the pressure of a fluid. Practically, any concentrated force can be seen as a surface force distributed onto a small contact surface;
• – volume forces, which will be noted as f_v for the rest of this book (in N/m³). Examples of volume forces are forces of gravity, electromagnetic forces, etc.

Incidentally, in this book you will notice that vectors are underlined once and matrices (or tensors of rank 2), which you will come across further on, are underlined twice.

1.1.2. Internal cohesive forces

We wish to study the cohesive forces of the solid S, at point M and which is in equilibrium under the action of external forces. The solid is cut into two parts E₁ and E₂ by a plane with a normal vector n passing through ...

Table of contents

• Cover
• Table of Contents
• Title
• Copyright
• Foreword
• Preface
• Introduction
• 1 Stress
• 2 Strain
• 3 Behavior Law
• 4 Resolution Methods
• 5 Work-energy Theorem: Principle of Finite Element Method
• 6 Sizing Criteria of an Aeronautical Structure
• 7 Plasticity
• 8 Physics of Aeronautical Structure Materials
• 9 Exercises
• 10 Solutions to Exercises
• Appendix: Analysis Formulas
• Bibliography
• Index
• End User License Agreement