Micromechanics of Fracture and Damage (eBook)

Luc Dormieux, Djimedo Kondo (Autoren)

eBook Download: PDF

2016 | 1. Auflage
334 Seiten
John Wiley & Sons (Verlag)
978-1-119-29217-3 (ISBN)

Infos

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.

Autor

Luc Dormieux is Professor at Ecole Nationale des Ponts et Chaussées (Laboratoire NAVIER) in Marne-la-Vallée, France. Djimédo Kondo is Professor at Sorbonne University (UPMC, Institut D'Alembert) in Paris, France.

Inhalt

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

Produkt-Details

• Erscheint lt. Verlag: 31.3.2016
• Sprache: englisch
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: Bruchmechanik • Failure Fracture • Maschinenbau • mechanical engineering
• ISBN-10: 1-119-29217-4 / 1119292174
• ISBN-13: 978-1-119-29217-3 / 9781119292173