Homogenization of multicoated inclusion-reinforced linear elastic composites with eigenstrains: Application to thermoelastic behavior

References

• Hashin , Z . 1962 . ASME J. Appl. Mech. , 29 : 143
   Google Scholar
• Christensen , RM and Lo , KH . 1979 . J. Mech. Phys. Solids , 27 : 315
   Web of Science ®Google Scholar
• Hervé , E and Zaoui , A . 1993 . Internat. J. Eng. Sci. , 31 : 1
   Web of Science ®Google Scholar
• Jasiuk , I and Kouider , MW . 1993 . Mech. Mater. , 15 : 53
   Web of Science ®Google Scholar
• Huang , JS and Gibson , LJ . 1993 . J. Mech. Phys. Solids , 41 : 55
   Web of Science ®Google Scholar
• Cherkaoui , M , Sabar , H and Berveiller , M . 1994 . J. Eng. Mat. Technol. , 116 : 274
   Web of Science ®Google Scholar
• Bornert , M . 1996 . Comput. Mater. Sci. , 5 : 17
   Google Scholar
• Bornert , M , Stolz , C and Zaoui , A . 1996 . J. Mech. Phys. Solids , 44 : 307
   Web of Science ®Google Scholar
• Ramesh , G , Sotelino , ED and Chen , WF . 1996 . Cement Concr. Res. , 26 : 611
   Web of Science ®Google Scholar
• Zaoui , A . 1997 . “ Structural morphology and constitutive behavior of microheterogeneous materials ” . In Continuum Micromechanics, CISM Courses and Lectures, No. 377 , Edited by: Suquet , P . 197 New York : Springer-Verlag .
   Google Scholar
• Bardella , L and Genna , F . 2001 . Internat. J. Solids Struct. , 38 : 7235
   Web of Science ®Google Scholar
• Hashin , Z and Monteiro , PJM . 2002 . Cement Concr. Res. , 32 : 1291
   Web of Science ®Google Scholar
• Heukamp , FH , Lemarchand , E and Ulm , FJ . 2005 . Internat. J. Solids Struct. , 42 : 287
   Google Scholar
• Pensée , V and He , Q-C . 2007 . Internat. J. Solids Struct. , 44 : 2225
   Google Scholar
• Barhdadi , EH , Lipinski , P and Cherkaoui , M . 2007 . J. Eng. Mater. Tech. , 129 : 313
   Google Scholar
• Eshelby , JD . 1957 . Proc. Roy. Soc. London A , 241 : 376
   Web of Science ®Google Scholar
• Kröner , E . 1958 . Kontinuumstheorie der Versetzungen und Eigenspannungen , Berlin : Springer-Verlag .
   Google Scholar
• Mura , T . 1987 . Micromechanics of Defects in Solids , Dordrecht : Kluwer Academic .
   Google Scholar
• Zaoui , A . 2002 . J. Eng. Mech. , 128 : 808
   Web of Science ®Google Scholar
• Fen-Chong , T , Hervé , E and Zaoui , A . 1999 . Eur. J. Mech. A Solids , 18 : 201
   Google Scholar
• Lipinski , P , Barhdadi , EH and Cherkaoui , M . 2006 . Phil. Mag. , 86 : 1305
   Google Scholar
• Laws , N . 1975 . J. Elast. , 5 : 227
   Web of Science ®Google Scholar
• Walpole , LJ . 1978 . Math. Proc. Camb. Phil. Soc. , 83 : 495
   Web of Science ®Google Scholar
• Hill , R . 1983 . J. Mech. Phys. Solids , 31 : 347
   Web of Science ®Google Scholar
• Herve , E . 2002 . Internat. J. Solids Struct. , 39 : 1041
   Web of Science ®Google Scholar
• Levin , VM . 1967 . Mekhanica Tverdogo Tela , 2 : 88 [in Russian; English translation: Mech. Solids 11 (1967) p. 58]
   Google Scholar
• Rosen , BW and Hashin , Z . 1970 . Internat. J. Eng. Sci. , 8 : 157
   Web of Science ®Google Scholar
• Nemat-Nasser , S and Hori , M . 1993 . Micromechanics: Overall Properties of Heterogeneous Materials , Amsterdam : North-Holland .
   Google Scholar
• Li , JY . 2000 . Internat. J. Solids Struct. , 37 : 5579
   Web of Science ®Google Scholar
• Willis , JR . 1981 . Adv. Appl. Mech. , 21 : 1
   Web of Science ®Google Scholar
• Gibiansky , LV and Torquato , S . 1997 . J. Mech. Phys. Solids , 45 : 1223
   Google Scholar
• Stolz , C . 1999 . Extracta Mathemat. , 14 : 205
   Google Scholar
• Stolz , C . 1999 . Comptes Rendus Academie des Sciences Paris IIB , 327 : 185
   Google Scholar
• Dederichs , PH and Zeller , R . 1973 . Z. Phys. , 259 : 103
   Google Scholar
• Kröner , E and Koch , H . 1976 . SM Arch. , 1 : 183
   Google Scholar
• Berveiller , M , Fassi-Fehri , O and Hihi , A . 1987 . Internat. J. Eng. Sci. , 25 : 691
   Web of Science ®Google Scholar
• Kröner , E . 1989 . “ Modified Green functions in the theory of heterogeneous and/or anisotropic linearly elastic media ” . In The Toshio Mura Anniversary Volume: Micromechanics and Inhomogeneity , Edited by: Weng , GJ , Taya , M and Abe , H . 197 New York : Springer-Verlag .
   Google Scholar
• Benveniste , Y and Dvorak , GJ . 1989 . “ On a correspondence between mechanical and thermal effects in two-phase composites ” . In The Toshio Mura Anniversary Volume: Micromechanics and Inhomogeneity , Edited by: Weng , GJ , Taya , M and Abe , H . 65 New York : Springer-Verlag .
   Google Scholar
• Benveniste , Y , Dvorak , GJ and Chen , T . 1989 . Mech. Mater. , 7 : 305
   Web of Science ®Google Scholar
• Benveniste , Y , Dvorak , GJ and Chen , T . 1991 . J. Mech. Phys. Solids , 39 : 927
   Web of Science ®Google Scholar
• Dvorak , GJ . 1990 . Proc. Roy. Soc. London A , 431 : 89
   Google Scholar
• Dvorak , GJ and Benveniste , Y . 1992 . Proc. Roy. Soc. London A , 437 : 291
   Web of Science ®Google Scholar
• Dvorak , GJ and Bahei-El-Din , A . 1997 . “ Inelastic composite materials: transformation field analysis and experiments ” . In Continuum Micromechanics, CISM Course and Lecture Notes 377 , Edited by: Suquet , P . 1 Berlin : Springer-Verlag .
   Google Scholar
• Walpole , LJ . 1981 . Adv. Appl. Mech. , 21 : 169
   Web of Science ®Google Scholar
• Hervé , E and Zaoui , A . 1995 . Internat. J. Eng. Sci. , 33 : 1419
   Web of Science ®Google Scholar
• Hervé , E and Zaoui , A . 1990 . Eur. J. Mech. A Solids , 9 : 505
   Web of Science ®Google Scholar
• PonteCastañeda , P and Suquet , P . 1998 . Adv. Appl. Mech. , 34 : 171
   Google Scholar
• Press , WH , Teukolsky , SA , Vetterling , WT and Flannery , BP . 2002 . Numerical Recipes in C++: The Art of Scientific Computing , 2nd , Cambridge : Cambridge University Press .
   Google Scholar
• Hashin , Z . 2002 . J. Mech. Phys. Solids , 50 : 2509
   Web of Science ®Google Scholar
• Duan , HL and Karihaloo , BL . 2007 . J. Mech. Phys. Solids , 55 : 1036
   Google Scholar
• Chen , T , Dvorak , GJ and Yu , CC . 2007 . Internat. J. Solids Struct. , 44 : 941
   Google Scholar
• Cherkaoui , M and Capolungo , L . 2009 . Atomistic and Continuum Modeling of Nanocrystalline Materials, Springer Series in Materials Science , Vol. 112 , New York : Springer-Verlag .
   Google Scholar