Intro
Preface
Contents
1 Introduction
1.1 Definition and Tasks of Lightweight Construction and Engineering
1.1.1 Introduction
1.1.2 What Is Lightweight Engineering?
1.2 Structural Analysis in Lightweight Engineering
1.3 Structural Optimization in Lightweight Engineering
1.4 Structural Elements in Lightweight Engineering
1.5 About the Functionality of an Aircraft Fuselage
1.5.1 Main Components of an Aircraft Fuselage
1.5.2 Loads and Classification into Structural Elements
1.6 Aim and Structure of This Book
1.7 Notes on Relevant Literature

1.8 A Few Notes on Nomenclature
References
Part I Fundamentals
2 Theory of Elasticity
2.1 Introduction
2.2 State of Stress
2.2.1 Stress Vector and Stress Tensor
2.2.2 Stress Transformation
2.2.3 Principal Stresses, Invariants, Mohr's Circles
2.2.4 Decomposition of the Stress Tensor
2.2.5 Equilibrium Conditions
2.3 Deformations and Strains
2.3.1 Introduction
2.3.2 Green-Lagrange Strain Tensor
2.3.3 Von-Kármán Strains
2.3.4 Infinitesimal Strain Tensor
2.3.5 Compatibility Conditions
2.3.6 Volume Strain

2.3.7 Decomposition of the Infinitesimal Strain Tensor
2.4 Constitutive Equations
2.4.1 Introduction
2.4.2 Hooke's Generalized Law
2.4.3 Strain Energy
2.4.4 Complementary Strain Energy
2.5 Boundary Value Problems
2.6 Material Symmetries
2.6.1 Full Anisotropy
2.6.2 Monotropy
2.6.3 Orthogonal Anisotropy/Orthotropy
2.6.4 Transverse Isotropy
2.6.5 Isotropy
2.6.6 Engineering Constants
2.6.7 Value Ranges for the Material Parameters
2.6.8 Alternative Representation of Isotropic Materials
2.7 Transformation Rules
2.8 Hygrothermal Problems

2.9 Cylindrical Coordinates
References
3 Plane Problems
3.1 Introduction
3.2 Surface Structures
3.2.1 Plane Surface Structures: Disks and Plates
3.2.2 Curved Surface Structures: Shells
3.3 Plane State of Strain
3.4 Plane State of Stress
3.5 Stress Transformation
3.5.1 Introduction
3.5.2 Principal Stresses
3.5.3 Mohr's Circle
3.6 Strain Transformation
3.7 Formulation for Orthotropic Materials
3.7.1 Plane State of Stress
3.7.2 Plane State of Strain
3.8 Formulation for Polar Coordinates
Bibliography
4 Strength Criteria for Isotropic Materials

4.1 Introduction
4.2 Principal Stress Hypothesis
4.3 Principal Strain Hypothesis
4.4 Beltrami Strain Energy Hypothesis
4.5 Von Mises Strain Energy Hypothesis
4.6 Tresca Yield Criterion
4.7 Coulomb-Mohr Hypothesis
4.8 Drucker-Prager Hypothesis
4.9 Cuntze's Failure Mode Concept
Bibliography
Part II Thin-Walled Beam Structures
5 Beams Under Normal Forces and Bending Moments
5.1 Introduction
5.2 Basic Equations for an Arbitrary Reference System
5.3 First Cross-Sectional Normalization: Center of Gravity S