Computational homogenization of material layers with micromorphic mesostructure

References

• Xu , X-P and Needleman , A . 1993 . Model. Simul. Mater. Sci. Eng. , 1 : 111
   Web of Science ®Google Scholar
• van den Bosch , MJ , Schreurs , PJG and Geers , MGD . 2006 . Eng. Fract. Mech. , 73
   Google Scholar
• Aifantis , EC . 1984 . J. Engng. Mater. Tech. , 106 : 326
   Web of Science ®Google Scholar
• Fleck , NA and Hutchinson , JW . 1993 . J. Mech. Phys. Solid. , 41 : 1825
   Web of Science ®Google Scholar
• Nemat-Nasser , A and Hori , M . 1999 . Micromechanics: Overall Properties of Heterogeneous Materials , 2nd revised , Amsterdam : North-Holland Elsevier .
   Google Scholar
• Hill , R . 1963 . J. Mech. Phys. Solid. , 11 : 357
   Web of Science ®Google Scholar
• Hill , R . 1972 . Proc. Roy. Soc. Lond. A , 326 : 131
   Web of Science ®Google Scholar
• Hirschberger , CB , Ricker , S , Steinmann , P and Sukumar , N . 2008 . Multiscale modelling of heterogeneous material layers. Accepted for publication
   Google Scholar
• Eringen , AC . 1964 . Proc. 11th Int. Congress of Appl. Mech , Edited by: Görtler , H . 131 – 138 . New York : Springer-Verlag .
   Google Scholar
• Eringen , AC . 1968 . “ Mechanics of micromorphic continua ” . In Mechanics of Generalized Continua , Edited by: Kröner , E . Berlin : Springer . . IUTAM Symposium, Freudenstadt/Stuttgart
   Google Scholar
• Eringen , AC . 1970 . Int. J. Eng. Sci. , 8 : 818
   Google Scholar
• Kirchner , N and Steinmann , P . 2005 . Phil. Mag. , 85 : 3875
   Google Scholar
• Hirschberger , CB , Kuhl , E and Steinmann , P . 2006 . “ Computational modelling of micromorphic continua – theory, numerics and visualisation challenges ” . In Visualization of Large and Unstructured Data Sets, Volume S-4 of GI-Edition Lecture Notes in Informatics (LNI) , Edited by: Hagen , H , Kerren , A and Dannenmann , P . 155 – 164 . (Gesellschaftfür Informatik) .
   Google Scholar
• Hirschberger , CB , Kuhl , E and Steinmann , P . 2007 . Comput. Methods Appl. Mech. Eng. , 196 : 4027
   Google Scholar
• Hirschberger , CB . 2008 . “ A Treatise on Micromorphic Continua ” . In Theory, Homogenization, Computation. PhD thesis , University of Kaiserslautern .
   Google Scholar
• Miehe , C , Schröder , J and Schotte , J . 1999 . Comput. Methods Appl. Mech. Eng. , 171 : 387
   Web of Science ®Google Scholar
• Feyel , F and Chaboche , J-L . 2000 . Comput. Methods Appl. Mech. Eng. , 183 : 309
   Web of Science ®Google Scholar
• Kouznetsova , VG , Brekelmans , WAM and Baaijens , FPT . 2001 . Comput. Mech. , 27 : 37
   Web of Science ®Google Scholar
• Miehe , C , Schröder , J and Bayreuther , C . 2002 . Comput. Mater. Sci. , 155 : 1
   Google Scholar
• Miehe , C and Koch , A . 2002 . Arch. Appl. Mech. , 72 : 300
   Web of Science ®Google Scholar
• Kouznetsova , VG , Geers , MGD and Brekelmans , WAM . 2002 . Int. J. Numer. Meth. Eng. , 54 : 1235
   Web of Science ®Google Scholar
• Kouznetsova , VG , Geers , MGD and Brekelmans , WAM . 2004 . Comput. Methods Appl. Mech. Eng. , 193 : 5525
   Web of Science ®Google Scholar
• Larsson , R and Zhang , Y . 2007 . J. Mech. Phys. Solid. , 55 : 819
   Web of Science ®Google Scholar
• Geers , MGD , Coenen , EWC and Kouznetsova , VG . 2007 . Model. Simul. Mater. Sci. Eng. , 15 : 393
   Google Scholar
• Beer , G . 1985 . Int. J. Numer. Meth. Eng. , 21 : 585
   Web of Science ®Google Scholar
• Schellekens , JCJ and de Borst , R . 1993 . Int. J. Solid Struct. , 30 : 1239
   Web of Science ®Google Scholar
• Utzinger , J , Bos , M Floeck , M . 2008 . Comput. Mater. Sci. , 41 : 287
   Google Scholar
• Utzinger , J , Menzel , A Steinmann , P . 2008 . Eur. J. Mech. Solid. , 27 : 532
   Web of Science ®Google Scholar
• Larsson , R , Runesson , K and Ottosen , NS . 1993 . Int. J. Numer. Meth. Eng. , 36 : 2087
   Google Scholar
• Miehe , C and Schröder , J . 1994 . Arch. Appl. Mech. , 64 : 267
   Web of Science ®Google Scholar
• Steinmann , P . 1996 . J. Mech. Phys. Solid. , 44 : 1691
   Google Scholar
• Larsson , R , Steinmann , P and Runesson , K . 1998 . Mech. Cohes.-Frict. Mater. , 4 : 171
   Google Scholar
• Steinmann , P and Betsch , P . 2000 . Int. J. Solid Struct. , 37 : 4061
   Google Scholar
• Mergheim , J , Kuhl , E and Steinmann , P . 2004 . Commun. Numer. Meth. Eng. , 20 : 511
   Web of Science ®Google Scholar
• Miehe , C . 2003 . Comput. Methods Appl. Mech. Eng. , 192 : 559
   Web of Science ®Google Scholar
• Costanzo , F , Gray , GL and Andia , PC . 2005 . Int. J. Numer. Meth. Eng. , 43 : 533
   Google Scholar
• Kouznetsova , VG . 2002 . “ Computational Homogenization for the Multiscale Analysis of Multi-phase Materials ” . In , PhD thesis , Eindhoven University of Technology .
   Google Scholar
• Meier , HA , Kuhl , E and Steinmann , P . 2008 . Int. J. Numer. Anal. Meth. Geomech. , 32 : 509
   Google Scholar
• Meier , HA , Steinmann , P and Kuhl , E . 2008 . Technische Mechanik , 28 : 32
   Google Scholar
• Ehlers , W , Ramm , E Diebels , S . 2003 . Int. J. Solid Struct. , 40 : 6681
   Web of Science ®Google Scholar
• Miehe , C and Dettmar , J . 2004 . Comput. Methods Appl. Mech. Eng. , 193 : 225
   Web of Science ®Google Scholar