LEADER 04056nam 2200589 450 001 9910136915003321 005 20230808192512.0 010 $a1-119-29218-2 010 $a1-119-29217-4 035 $a(CKB)3710000000635774 035 $a(EBL)4470884 035 $a(OCoLC)945979063 035 $a(MiAaPQ)EBC4470884 035 $a(Au-PeEL)EBL4470884 035 $a(CaPaEBR)ebr11203679 035 $a(CaONFJC)MIL910406 035 $a(EXLCZ)993710000000635774 100 $a20160430h20162016 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aMicromechanics of fracture and damage /$fLuc Dormieux, Djimedo Kondo 210 1$aLondon, England ;$aHoboken, New Jersey :$ciSTE :$cWiley,$d2016. 210 4$dİ2016 215 $a1 online resource (251 p.) 225 1 $aMechanical Engineering and Solid Mechanics Series 300 $aDescription based upon print version of record. 311 $a1-119-29216-6 311 $a1-84821-863-X 320 $aIncludes bibliographical references and index. 327 $a2.2. 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 ?ij; 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 Strains 327 $a4.1. 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 Micromechanics 327 $a8.1. 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 cracks 327 $a10.4. 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 stiffness 327 $a12.2. Hashin-Shtrikman's bound 410 0$aMechanical engineering and solid mechanics series. 606 $aMicromechanics 606 $aFracture mechanics 615 0$aMicromechanics. 615 0$aFracture mechanics. 676 $a620.1186 700 $aDormieux$b Luc$0619863 702 $aKondo$b Djime?do 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910136915003321 996 $aMicromechanics of fracture and damage$92279074 997 $aUNINA