Multiresolution analysis for material design

Computer Methods in Applied Mechanics and Engineering

Volumn 195, Issue 37-40, 2006, Pages 5053-5076

  McVeigh, Cahal ^a   Vernerey, Franck ^a   Liu, Wing Kam ^a   Cate Brinson, L ^a  

^a Northwestern University   (United States)

Author keywords

Alloy; Constitutive law; Material design; Multiresolution; Multiscale

Indexed keywords

COMPOSITE MICROMECHANICS; FINITE ELEMENT METHOD; GRANULAR MATERIALS; MATHEMATICAL MODELS; OPTIMIZATION; POLYCRYSTALLINE MATERIALS; POROUS MATERIALS;

CONSTITUTIVE LAW; MATERIAL DESIGN; MULTIRESOLUTION ANALYSIS;

METALLOGRAPHIC MICROSTRUCTURE;

COMPOSITE MICROMECHANICS; FINITE ELEMENT METHOD; GRANULAR MATERIALS; MATHEMATICAL MODELS; METALLOGRAPHIC MICROSTRUCTURE; OPTIMIZATION; POLYCRYSTALLINE MATERIALS; POROUS MATERIALS;

EID: 33744922966     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.07.027     Document Type: Article

References (54)

1. Borrego A., Fernandez R., del Carmen Cristina M., Ibanez J., and Gonzalez-Doncel G. Influence of extrusion temperature on the microstructure and the texture of 6061Al-15 vol.% SiCw PM composites. Compos. Sci. Technol. 62 (2002) 731-742
2. P.T. Wang, W.H. Van Geertruyden, W.Z. Misiolek, Proceedings from Materials Solutions Conference 2003: 1st International Symposium on Metallurgical Modeling for Aluminum Alloys, 2003, pp. 199-208.
3. Brand A.J., Kalz S., and Kopp R. Microstructural simulation in hot rolling of aluminium alloys. Computat. Mater. Sci. 7 (1996) 242-246
4. Karhausen K.F., and Roters F. Development and application of constitutive equations for multiple-stand hot rolling of Al-alloys. J. Mater. Process. Technol. 123 (2002) 155-166
5. Sellars C.M., and Zhu Q. Microstructural modeling of aluminium alloys during thermomechanical processing. Mater. Sci. Engrg. A280 (2000) 1-7
6. Sutton M.A., Yang B., Reynolds A.P., and Taylor R. Microstructural studies of friction welds in 2024-T3 aluminum. Mater. Sci. Engrg. A 323 (2002) 160-166
7. Belytschko T., Liu W.K., and Moran B. Nonlinear Finite Elements for Continua and Structures (2000), John Wiley, Chichester, New York
8. Li S., and Liu W.K. Meshfree Particle Methods (2004), Springer, Berlin
9. Bammann D.J., Chiesa M.L., and Johnson G.C. Modeling large deformation and failure in manufacturing processes. Proc. 19th ICTAM (1996) 359-378
10. Horstemeyer M.F., Ramaswamy S., and Negrete M. Using a micromechanical finite element parametric study to motivate a phenomenological macroscale model for void/crack nucleation in aluminum with a hard second phase. Mech. Mater. 35 (2003) 675-687
11. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth: Part I-Yield criteria and flow rules for porous ductile material. J. Engrg. Mater. Technol. 99 (1997) 2-15
12. Hao S., Liu W.K., and Chang C.T. Computer implementation of damage models by finite element and meshfree methods. Computat. Methods Appl. Mech. Engrg. 187 (2000) 401-440
13. Hao S., Liu W.K., Moran B., Vernerey F., and Olson G.B. Multi-scale constitutive model and computational framework for the design of ultra-high strength, high toughness steels. Comput. Methods Appl. Mech. Engrg. 193 17-20 (2004) 1865-1908
14. Bazant Z.P. Nonlocal integral formulations of plasticity and damage: Survey of progress. J. Engrg. Mech. 128 11 (2002) 1119-1149
15. F. Vernerey, W.K. Liu, B. Moran, Northwestern University, Illinois, in preparation.
16. Fleck N.A., Muller G.M., Ashby M.F., and Hutchinson J.W. Strain gradient plasticity: theory and experiment. Acta Metall. Mater. 42 2 (1994) 475-487
17. Stolken J.S., and Evans A.G. Microbend test method for measuring the plasticity length scale. Acta Mater. 46 14 (1998) 5109-5115
18. Nix W.D., and Mehl Medalist R.F. Mechanical properties of thin films. Metall. Trans. A (Phys. Metall. Mater. Sci.) 20(A) 11 (1989) 2217-2245
19. Fleck N.A., and Hutchinson J.W. Strain gradient plasticity. Adv. Appl. Mech. 33 (1997) 296-358
20. Gao H., Huang Y., Nix W.D., and Hutchinson J.W. Mechanism-based strain gradient plasticity theory. J. Mech. Phys. Solids 47 (1999) 1239-1263
21. Chen S.H., and Wang T.C. A new hardening law for strain gradient plasticity. Acta Mater. 48 (2000) 3997-4005
22. Knowlton T.M., Carson J.W., Klinzing G.E., and Yang W.-C. The importance of storage, transfer, and collection. Chem. Engrg. Progr. 90 4 (1994) 44-54
23. Kadowaki H., and Liu W.K. Bridging Multiscale method for localization problems. Comput. Methods Appl. Mech. Engrg. 193 (2004) 3267-3302
24. Bazant Z.P., Belytschko T.B., and Chang T. Continuum theory for strain softening. J. Engrg. Mech. 110 12 (1984) 1666-1692
25. Green G., and Knot J.F. Initiation and propagation of ductile fracture in low strength steels. J. Engrg. Mater. Technol. 98 (1976) 37-46
26. Horstemeyer M.F., Matalanis M.M., Sieber A.M., and Botos M.L. Micromechanical finite element calculations of temperature and void configuration effects on void growth and coalescence. Int. J. Plast. 16 (2000) 979-1015
27. Edelson B.I., and Baldwin Jr. W.M. Effect of second phases on mechanical properties of alloys. ASM Trans. 55 1 (1962) 230-250
28. SRI Consulting Business Intelligence, Next-Generation Technologies: Self-Repairing Structural Materials, 2004. Available from: .
29. B.S. Files, Design of a biomimetic self-healing superalloy composite, Materials Science and Engineering, Evanston, Northwestern University, 1997.
30. C. Forbell, M. Barney, C. Scharff, W. Lai, Tin Based Self-Healing Alloy, Student Design Team, Northwestern University, 1997.
31. Shimamoto A., and Nam J. Effect of crack closure by shrinkage of embedded shape-memory TiNi fiber epoxy composite under mixed-mode loading. Int. J. Mater. Product Technol. 1 (2001) 263-268
32. X. Gao, D. Burton, L.C. Brinson, Finite element simulation of a self-healing shape memory alloy composite, Mech. Mater., in press.
33. Hamada K., and Kawano F. Shape recovery of shape memory alloy fiber embedded resin matrix smart composite after crack repair. Dental Mater. J. 22 2 (2003) 160-167
34. Tanaka K.S., Kobayashi S., and Sato Y. Thermomechanics of transformation pseudoelasticity and shape memory effect in alloys. Int. J. Plast. 2 1 (1986) 59-72
35. Liang C., and Rogers C.A. One-dimensional thermomechanical constitutive relations for shape memory materials. J. Intell. Mater. Syst. Struct. 1 2 (1990) 207-234
36. Brinson L.C. One-dimensional constitutive behavior of shape memory alloys: thermomechanical derivation with non-constant material functions. J. Intell. Mater. Syst. Struct. 4 2 (1993) 229-242
37. Brinson L.C., and Huang M.S. Simplifications and comparisons of shape memory alloy constitutive models. J. Intell. Mater. Syst. Struct. 7 1 (1996) 108-114
38. Bekker A., and Brinson L.C. Phase diagram based description of the hysteresis behavior of shape memory alloys. Acta Mater. 46 10 (1998) 3649-3665
39. Jiang H., and Valdez J. Strength and toughness of cement reinforced with bone-shaped steel wires. Compos. Sci. Technol. 60 9 (2000) 1753-1761
40. Zhu Y.T.T., and Beyerlein I.J. Bone-shaped short fiber composites-an overview. Mater. Sci. Engrg. A-Struct. Mater. Prop. Microstruct. Process. 326 2 (2002) 208-227
41. Zhu Y.T.T., and Beyerlein I.J. Issues on the design of bone-shaped short fiber composites. J. Adv. Mater. 35 2 (2003) 51-60
42. Zhu Y.T.T., Beyerlein I.J., Valdez J.A., and Lowe T.C. Fracture toughness of a composite reinforced with bone-shaped short fibers. Mater. Sci. Engrg. A 317 1-2 (2001) 93-100
43. Liu W.K., Karpov E.G., Zhang S., and Park H.S. An introduction to computational nanomechanics and materials. Comput. Methods Appl. Mech. Engrg. 193 17-20 (2004) 1529-1578
44. E. Cosserat, F. Cosserat, Theorie des Corps Deformable, A Hermann et Fils, Paris, 1909.
45. Kadowaki H., and Liu W.K. A multiscale approach for the micropolar continuum model. Comput. Model. Engrg. Sci. 7 3 (2005) 269-282
46. Park H.S., and Liu W.K. An introduction and tutorial on multiple-scale analysis in solids. Comput. Methods Appl. Mech. Engrg. 93 7-20 (2004) 1733-1772
47. Liu W.K., Uras R.A., and Chen Y. Enrichment of the finite element method with the reproducing kernel particle method. J. Appl. Mech. ASME 64 (1997) 861-870
48. Wagner G.J., and Liu W.K. Coupling of atomistic and continuum simulations using a bridging scale decomposition. J. Computat. Phys. 190 (2003) 249-274
49. Courtney T.H. Mechanical Behavior of Solids (2000), McGraw Hill, Boston
50. Hao S., Moran B., Liu W.K., and Olson G.B. A hierarchical multi-physics constitutive model for steels design. J. Comput.-Aided Mater. Des. 10 (2003) 99-142
51. Fisher F.T., and Brinson L.C. Viscoelastic behavior of polymer matrix composites with interphase effects: theoretical models and finite element analysis. Compos. Sci. Technol. 61 (2001) 731-748
52. Christensen R.M. A critical evaluation for a class of micromechanics models. J. Mech. Phys. Solids 38 3 (1990) 379-404
53. C. McVeigh, W.K. Liu, Prediction of central bursting during axisymmetric cold extrusion of a metal alloy containing particles, Int. J. Solids Struct., in press.
54. Muhlhaus H.B., and Vardoulakis I. The thickness of shear bands in granular materials. Geotechnique 37 3 (1987) 271-283