6 Estimates in terms of volume fractions

Kapitel in diesem Buch

1. Frontmatter I
2. Preface V
3. Contents VII
4. 1 Introduction 1
5. 2 Basics 5
6. 3 Characterization of microstructure 13
7. 4 The initial and boundary value problem of homogenization 23
8. 5 Homogenization with the aid of structural mechanics 39
9. 6 Estimates in terms of volume fractions 51
10. 7 Basic solutions 59
11. 8 Reformulations of the homogenization problem: The eigenstrain problem, the polarization problem and influence tensors 67
12. 9 Improved estimates based on the Eshelby solution 71
13. 10 Percolation bounds 81
14. 11 Hashin–Shtrikman variational method 85
15. 12 Fourier and Green methods 99
16. 13 Orientation averages 141
17. Bibliography 183
18. Index 187