Linking microstructure and properties through a predictive multiresolution continuum

Computer Methods in Applied Mechanics and Engineering

Volumn 197, Issue 41-42, 2008, Pages 3268-3290

  McVeigh, Cahal ^a   Liu, Wing Kam ^a  

^a Northwestern University   (United States)

Author keywords

Continuum; Failure; Gradient; Microstructure; Multiscale

Indexed keywords

ALLOYS; CONSTITUTIVE MODELS; CONTINUUM MECHANICS; DEFORMATION; DIFFERENCE EQUATIONS; FINITE ELEMENT METHOD; IRON; LIFE CYCLE; LITHOGRAPHY; MICROSTRUCTURE; MULTIRESOLUTION ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS; PROBABILITY; QUALITY ASSURANCE; RELIABILITY; RELIABILITY ANALYSIS;

(E ,2E) THEORY; (PL) PROPERTIES; ADIABATIC SHEAR BANDING (ASB); APPLIED (CO); CEMENTED CARBIDES; CHARACTERISTIC LENGTHS; CONSTITUTIVE BEHAVIORS; CONTINUUM THEORY; ELSEVIER (CO); EMBEDDED PARTICLES; ENGINEERING PROGRAMS; FINITE-ELEMENT APPROACH; GOVERNING EQUATIONS; INHOMOGENEOUS DEFORMATION; MATERIAL RESPONSE; MICRO STRESSES; MICROSTRESSES; MICROSTRUCTURE EVOLUTIONS; MICROSTRUCTURE MODELING; MODELING ERRORS; MULTI-RESOLUTION THEORY; MULTIPLE SCALES; MULTIRESOLUTION (MR); PARTIAL DIFFERENTIAL; PROBABILISTIC ANALYSES; STEEL ALLOYING; STRAIN GRADIENT THEORY (IGC:D6);

MORPHOLOGY;

EID: 48049091179     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2007.12.020     Document Type: Article

References (31)

1. McVeigh C., Vernerey F., Liu W.K., and Brinson L.C. Comput. Methods Appl. Mech. Engrg. 195 (2006) 5053
2. Hao S., Liu W.K., Moran B., Vernerey F., and Olson G.B. Comput. Methods Appl. Mech. Engrg. 193 (2004) 1865
3. Hao S., Moran B., Liu W.K., and Olson G.B. J. Comput. Aided Mater. Des. 10 (2003) 99
4. Vernerey F. Multi-scale mechanics of microstructured materials. Mechanical Engineering (2006), Northwestern University, Evanston
5. McVeigh C. Multiresolution analysis of heterogeneous materials. Mechanical Engineering (2007), Northwestern University, Evanston
6. W.K. Liu, C. McVeigh, Comput. Mech., accepted for publication, doi:10.1007/s00466-007-0176-8.
7. Knap J., and Ortiz M. J. Mech. Phys. Solids 49 (2001) 1899
8. Tang S., Hou T.Y., and Liu W.K. Int. J. Numer. Methods Engrg. 65 (2006) 1688
9. Wagner G.J., and Liu W.K. Int. J. Numer. Methods Engrg. 50 (2001) 507
10. Wagner G.J., and Liu W.K. J. Comput. Phys. 190 (2003) 249
11. Park H.S., Karpov E.G., Liu W.K., and Klein P.A. Philos. Mag. 85 (2005) 79
12. Kadowaki H., and Liu W.K. Comput. Methods Appl. Mech. Engrg. 193 (2004) 3267
13. Kadowaki H., and Liu W.K. Comput. Model. Engrg. Sci. 7 (2005) 269
14. Cosserat E., and Cosserat F. Theorie des corps deformables (1909), A Hermann et Fils, Paris
15. Karpov E.G., Wagner G.J., and Liu W.K. Int. J. Numer. Methods Engrg. 62 (2005)
16. Hill R. J. Mech. Phys. Solids 11 (1963) 357
17. Mindlin R.D. Arch. Ration. Mech. Anal. 16 (1964) 15
18. Vernerey F., Liu W.K., and Moran B. J. Mech. Phys. Solids (2007) 10.1016/j.jmps.2007.04.008
19. Bammann D.J., Chiesa M.L., Horstemeyer M.F., and Weingarten L.I. In: Weirzbicki N.J.A.T. (Ed). Structural Crashworthiness and Failure (1993), Elsevier Applied Science, Germany 1
20. Bammann D.J., Chiesa M.L., McDonald A., Kawahara W.A., Dike J.J., and Revelli V.D. American Society of Mechanical Engineers. Applied Mechanics Division 107 (1990) 7
21. Belytschko T., Liu W.K., and Moran B. Nonlinear Finite Elements for Continua and Structures (2000), John Wiley and Sons
22. McHugh P.E., and Connolly P.J. Comput. Mater. Sci. 27 (2003) 423
23. Spiegler R., and Fischmeister H.F. Acta. Metall. Mater. 40 (1992) 1653
24. Sigl L.S., and Exner H.E. Metall. Trans. 18A (1987) 1299
25. In: Kanninen M.F., Popelar C.H., and Series O.E. (Eds). Advanced Fracture Mechanics (1985), John Wiley and Sons, Oxford
26. Medyanik S.N., Liu W.K., and Li S. J. Mech. Phys. Solids 55 (2005) 1439
27. Wright T.W. The Physics and Mathematics of Adiabatic Shear Bands (2002), Cambridge University Press, Cambridge
28. Cowie J.G., Azrin M., and Olson G.B. Metall. Trans. A (Phys. Metall. Mater. Sci.) 20A (1989) 143
29. Connolly P., and McHugh P.E. Fatigue Fract. Engrg. Mater. Struct. 22 (1999) 77
30. McVeigh C., Vernerey F., Liu W.K., Moran B., and Olson G.B. J. Mech. Phys. Solids 55 (2006) 225
31. McClintock F.A. J. Appl. Mech. 35 (1968) 363