Dormieux / Kondo | Micromechanics of Fracture and Damage | E-Book | sack.de
E-Book

E-Book, Englisch, 334 Seiten, E-Book

Dormieux / Kondo Micromechanics of Fracture and Damage


E-Book, Englisch, 334 Seiten, E-Book

ISBN: 978-1-119-29217-3
Verlag: John Wiley & Sons
Format: PDF
 Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

This book deals with the mechanics and physics of fractures at various scales. Based on advanced continuum mechanics of heterogeneous media, it develops a rigorous mathematical framework for single macrocrack problems as well as for the effective properties of microcracked materials. In both cases, two geometrical models of cracks are examined and discussed: the idealized representation of the crack as two parallel faces (the Griffith crack model), and the representation of a crack as a flat elliptic or ellipsoidal cavity (the Eshelby inhomogeneity problem).
The book is composed of two parts:
- The first part deals with solutions to 2D and 3D problems involving a single crack in linear elasticity. Elementary solutions of cracks problems in the different modes are fully worked. Various mathematical techniques are presented, including Neuber-Papkovitch displacement potentials, complex analysis with conformal mapping and Eshelby-based solutions.
- The second part is devoted to continuum micromechanics approaches of microcracked materials in relation to methods and results presented in the first part. Various estimates and bounds of the effective elastic properties are presented. They are considered for the formulation and application of continuum micromechanics-based damage models.
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Autoren/Hrsg.

Dormieux, Luc
Kondo, Djimedo

Weitere Infos & Material

Part I Elastic solutions to single crack problems
1 Fundamentals of plane elasticity
2 Fundamentals of elasticity in view of homogenization theory
3 Two-dimensional Griffith crack
4 The elliptic crack model in plane strains
5 Griffith crack in 3D
6 Ellipsoidal crack model: the Eshelby approach
7 Energy release rate and condition for crack propagation
Part II Homogenization of microcracked materials
8 Fundamentals of continuum micromechanics
9 Homogenization of materials containing Griffith cracks
10 Eshelby-based estimates of strain concentration and stiffness
11 Stress-based estimates of stress concentration and compliance
12 Bounds
13 Formulation of a micromechanics-based damage constitutive law and application to a hollow sphere subjected to traction

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