04056nam 2200589 450 991013691500332120230808192512.01-119-29218-21-119-29217-4(CKB)3710000000635774(EBL)4470884(OCoLC)945979063(MiAaPQ)EBC4470884(Au-PeEL)EBL4470884(CaPaEBR)ebr11203679(CaONFJC)MIL910406(EXLCZ)99371000000063577420160430h20162016 uy 0engur|n|---|||||rdacontentrdamediardacarrierMicromechanics of fracture and damage /Luc Dormieux, Djimedo KondoLondon, England ;Hoboken, New Jersey :iSTE :Wiley,2016.©20161 online resource (251 p.)Mechanical Engineering and Solid Mechanics SeriesDescription based upon print version of record.1-119-29216-6 1-84821-863-X Includes bibliographical references and index.2.2. Green's function in two-dimensional conditions2.3. Green's function in three-dimensional conditions; 2.4. Eshelby's problems in linear microelasticity; 2.5. Hill tensor for the elliptic inclusion; 2.6. Hill's tensor for the spheroidal inclusion; 2.7. Appendix; 2.8. Appendix: derivation of the χij; 3 Two-dimensional Griffith Crack; 3.1. Stress singularity at crack tip; 3.2. Solution to mode I problem; 3.3. Solution to mode II problem; 3.4. Appendix: Abel's integral equation; 3.5. Appendix: Neuber-Papkovitch displacement potentials; 4 The Elliptic Crack Model in Plane Strains4.1. The infinite plane with elliptic hole4.2. Infinite plane with elliptic hole: the anisotropic case; 4.3. Eshelby approach; 5 Griffith Crack in 3D; 5.1. Griffith circular (penny-shaped) crack in mode I; 5.2. Griffith circular (penny-shaped) crack under shear loading; 6 Ellipsoidal Crack Model: the Eshelby Approach; 6.1. Mode I; 6.2. Mode II; 7 Energy Release Rate and Conditions for Crack Propagation; 7.1. Driving force of crack propagation; 7.2. Stress intensity factor and energy release rate; PART 2: Homogenization of Microcracked Materials; 8 Fundamentals of Continuum Micromechanics8.1. Scale separation8.2. Inhomogeneity model for cracks; 8.3. General results on homogenization with Griffith cracks; 9 Homogenization of Materials Containing Griffith Cracks; 9.1. Dilute estimates in isotropic conditions; 9.2. A refined strain-based scheme; 9.3. Homogenization in plane strain conditions for anisotropic materials; 10 Eshelby-based Estimates of Strain Concentration and Stiffness; 10.1. Dilute estimate of the strain concentration tensor: general features; 10.2. The particular case of opened cracks; 10.3. Dilute estimates of the effective stiffness for opened cracks10.4. Dilute estimates of the effective stiffness for closed cracks10.5. Mori-Tanaka estimate of the effective stiffness; 11 Stress-based Estimates of Stress Concentration and Compliance; 11.1. Dilute estimate of the stress concentration tensor; 11.2. Dilute estimates of the effective compliance for opened cracks; 11.3. Dilute estimate of the effective compliance for closed cracks; 11.4. Mori-Tanaka estimates of effective compliance; 11.5. Appendix: algebra for transverse isotropy and applications; 12 Bounds; 12.1. The energy definition of the homogenized stiffness12.2. Hashin-Shtrikman's boundMechanical engineering and solid mechanics series.MicromechanicsFracture mechanicsMicromechanics.Fracture mechanics.620.1186Dormieux Luc619863Kondo DjimédoMiAaPQMiAaPQMiAaPQBOOK9910136915003321Micromechanics of fracture and damage2279074UNINA