Boundary condition effects on multiscale analysis of damage localization

Philosophical Magazine

Volumn 88, Issue 16, 2008, Pages 2373-2397

  Inglis, Helen M ^a   Geubelle, Philippe H ^b   Matouš, Karel ^a,b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

Cohesive damage; Localization; Multiscale analysis; Periodic boundary conditions; Representative volume element

Indexed keywords

BOUNDARY VALUE PROBLEMS; DAMAGE DETECTION; MATRIX ALGEBRA; METALLIC MATRIX COMPOSITES; VOLUME MEASUREMENT;

BOUNDARY CONDITIONING; CELL BOUNDARIES; COHESIVE DAMAGE; DAMAGE LOCALIZATION; HETEROGENEOUS MATERIALS; KINEMATIC BOUNDARY CONDITIONS; LOCALIZATION; MATRIX INTERFACES; MICRO SCALES; MULTISCALE ANALYSIS; NUMERICA L RESULTS; PARTICULATE COMPOSITE MATERIAL; PERIODIC BOUNDARY CONDITIONS; PERIODIC LOADINGS; REPRESENTATIVE VOLUME ELEMENT; UNIT CELLS;

BOUNDARY CONDITIONS;

EID: 52949147138     PISSN: 14786435     EISSN: 14786443     Source Type: Journal    
DOI: 10.1080/14786430802345645     Document Type: Article

References (26)

1. T. Kanit, S. Forest, I. Galliet et al., Int. J. Solids Struct. 40 (2003) p.3647.
2. R. Pyrz, Mat. Sci. Eng. A Struct. 177 (1994) p.253.
3. J. Zeman and M. Šejnoha, J. Mech. Phys. Solids 49 (2001) p.69.
4. N.C. Kumar, K. Matouš and P. H. Geubelle, Comp. Mater. Sci. 42 (2008) p.352.
5. S. Swaminathan and S. Ghosh, J. Compos. Mater. 40 (2006) p.605.
6. J.M. Guedes and N. Kikuchi, Comput. Methods Appl. Mech. Engng. 83 (1990) p.143.
7. S. Ghosh, K. Lee and S. Moorthy, Int. J. Solids Struct. 32 (1995) p.27.
8. J. Fish, K. Shek, M. Pandheeradi et al., Comput. Methods Appl. Mech. Engrg. 148 (1997) p.53.
9. K. Matouš and P. Geubelle, Int. J. Numer. Meth. Engng. 65 (2006) p.190.
10. A. Bensoussan, J.L. Lions and G. Papanicolaou, Asymptotic Analysis for Periodic Structures, Amsterdam, North-Holland, 1978.
11. E. Sanchez-Palencia, Non-Homogeneous Media and Vibration Theory, Lecture Notes in Physics, Vol. 127, Springer-Verlag, Berlin, 1980.
12. J.L. Lions, Some Methode in the Mathematical Analysis of Systems and their Control, Gordon and Breach, New York, 1981.
13. O. van der Sluis, P.J.G. Schreurs, W.A.M. Brekelmans et al., Mech. Mater. 32 (2000) p.449.
14. S. Mesarovic and J. Padbidri, Phil. Mag. 85 (2005) p.65.
15. T.E. Lacy, D.L. McDowell and R. Talreja, Mech. Mater. 31 (1999) p.831.
16. I.M. Gitman, H. Askes and L.J. Sluys, Eng. Fract. Mech. 74 (2007) p.2518.
17. J.F.W. Bishop and R. Hill, Phil. Mag. 42 (1951) p.414.
18. C. Miehe, J. Schroder and M. Becker, Comput. Methods Appl. Mech. Engrg. 191 (2002) p.4971.
19. A.L. Gurson, J. Eng. Mater. T. ASME 99 (1977) p.2.
20. P.H. Geubelle and J.S. Baylor, Compos. Part B Eng. 29B (1998) p.589.
21. D.V. Kubair and P.H. Geubelle, Int. J. Solids Struct. 40 (2003) p.3853.
22. K. Matouš, H.M. Inglis, X. Gu et al., Compos. Sci. Technol. 67 (2007) p.1694.
23. G.M. Knott, T.L. Jackson and J. Buckmaster, AIAA J. 39 (2001) p.678.
24. D. Rypl and Z. Bittnar, Engng Mech. 9 (2002) p.49.
25. P.H. Geubelle, H.M. Inglis, J.D. Kramer et al. in Proceedings of the Multiscale and Functionally Graded Materials Conference, Hawaii, October 15-18, 2006.
26. R.M. Christensen, J. Mech. Phys. Solids 38 (1990) p.379.