Kapitel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
7 Basic solutions
-
Rainer Glüge
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Kapitel in diesem Buch
- Frontmatter I
- Preface V
- Contents VII
- 1 Introduction 1
- 2 Basics 5
- 3 Characterization of microstructure 13
- 4 The initial and boundary value problem of homogenization 23
- 5 Homogenization with the aid of structural mechanics 39
- 6 Estimates in terms of volume fractions 51
- 7 Basic solutions 59
- 8 Reformulations of the homogenization problem: The eigenstrain problem, the polarization problem and influence tensors 67
- 9 Improved estimates based on the Eshelby solution 71
- 10 Percolation bounds 81
- 11 Hashin–Shtrikman variational method 85
- 12 Fourier and Green methods 99
- 13 Orientation averages 141
- Bibliography 183
- Index 187
Kapitel in diesem Buch
- Frontmatter I
- Preface V
- Contents VII
- 1 Introduction 1
- 2 Basics 5
- 3 Characterization of microstructure 13
- 4 The initial and boundary value problem of homogenization 23
- 5 Homogenization with the aid of structural mechanics 39
- 6 Estimates in terms of volume fractions 51
- 7 Basic solutions 59
- 8 Reformulations of the homogenization problem: The eigenstrain problem, the polarization problem and influence tensors 67
- 9 Improved estimates based on the Eshelby solution 71
- 10 Percolation bounds 81
- 11 Hashin–Shtrikman variational method 85
- 12 Fourier and Green methods 99
- 13 Orientation averages 141
- Bibliography 183
- Index 187
