A micro-continuum model for the creep behavior of complex nanocrystalline materials

International Journal of Engineering Science

Volumn 49, Issue 1, 2011, Pages 155-174

  Barai, Pallab ^a   Weng, George J ^b  

^a OAK RIDGE NATIONAL LABORATORY   (United States)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

Creep; Grain size effects; Micromechanics; Nanocrystalline materials; Nanoparticles and nano pores

Indexed keywords

AVERAGE GRAIN SIZE; COMPLEX STRUCTURE; CONTINUUM MODEL; CREEP BEHAVIORS; CREEP CHARACTERISTICS; CREEP RESPONSE; EFFECT OF TEMPERATURE; EXPERIMENTAL DATA; GRAIN INTERIORS; GRAIN SIZE; GRAIN-SIZE EFFECTS; MATRIX; NANOCRYSTALLINE SYSTEMS; NANOCRYSTALLINES; THREE-PHASE COMPOSITES;

CONTINUUM MECHANICS; CREEP; GRAIN BOUNDARIES; GRAIN SIZE AND SHAPE; MATERIALS; MICROMECHANICS; NANOPARTICLES; NANOPORES; STRENGTHENING (METAL);

NANOCRYSTALLINE MATERIALS;

EID: 78649636754     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2010.09.019     Document Type: Article

References (43)

1. P. Barai, and G.J. Weng The competition of grain size and porosity in the viscoplastic response of nanocrystalline solids Int. J. Plasticity 24 2008 1380 1410
2. P. Barai, and G.J. Weng Mechanics of creep resistance in nanocrystalline solids Acta Mech. 195 2008 248 327
3. P. Barai, and G.J. Weng Mechanics of very fine-grained nanocrystalline materials with contributions from grain interior, gb zone, and grain-boundary sliding Int. J. Plasticity 25 2009 2410 2434
4. M. Bobeth, and G. Diener Field fluctuation in multicomponent mixtures J. Mech. Phys. Solids 34 1986 1 17
5. W.D. Callister Materials Science and Engineering: An Introduction 1999 John Wiley
6. L. Capolungo, M. Cherkaoui, and J. Qiu On the elastic-viscoplastic behavior of nanocrystalline materials Int. J. Plasticity 23 2007 561 591
7. J.E. Carsley, J. Ning, W.M. Milligan, S.A. Hackney, and E.C. Aifantis A simple mixture-based model for the grain size dependence of strength in nanophase metals Nanostruct. Mater. 5 1995 441 448
8. P.P. Castañeda The effective mechanical properties of nonlinear isotropic composites J. Mech. Phys. Solids 39 1991 45 71
9. R. Christensen, and K. Lo Solutions for effective shear properties in three phase sphere and cylinder models J. Mech. Phys. Solids 27 1979 315 330
10. 3-SiC nanocomposites J. Eur. Ceram. Soc. 19 13 1999 2475 2485
11. 4/SiC nanocomposite J. Eur. Ceram. Soc. 24 2004 3307 3315
12. Z. Hashin Viscoelastic behavior of the heterogeneous media J. Appl. Mech. 32 1965 630 636
13. G.K. Hu A method of plasticity for general aligned spheroidal void or fiber-reinforced composites Int. J. Plasticity 12 1996 439 449
14. B. Jiang, and G.J. Weng A composite model for the grain-size dependence of yield stress of nanograined materials Metall. Mater. Trans. 34A 2003 765 772
15. B. Jiang, and G.J. Weng A generalized self-consistent polycrystal model for the yield strength of nanocrystalline materials J. Mech. Phys. Solids 52 2004 1125 1149
16. B. Jiang, and G.J. Weng A theory of compressive yield strength of nano-grained ceramics Int. J. Plasticity 20 2004 2007 2026
17. A.S. Khan, and H. Zhang Mechanically alloyed nanocrystalline iron and copper mixyure: behavior and constitutive modeling over a wide range of strain rates Int. J. Plasticity 16 2000 1477 1492
18. H.S. Kim, Y. Estrin, and M.B. Bush Plastic deformation behavior of fine grained materials Acta Mater. 48 2000 493 504
19. W. Kreher, and W. Pompe Internal stress in heterogeneous solids 1989 Akademie Verlag Berlin
20. J. Lemaitre, and J.-L. Chaboche Mechanics of Solid Materials 1985 Cambridge University Press
21. J. Li, and G.J. Weng A homogenization theory for the overall creep of isotropic viscoplastic composite Acta Mech. 125 1997 141 153
22. J. Li, and G.J. Weng A secant-viscosity approach to the time-dependent creep of an elastic-viscoplastic composite J. Mech. Phys. Solids 45 1997 1069 1083
23. J. Li, and G.J. Weng Time-dependent creep of a dual-phase viscoplastic material with lamellar structure Int. J. Plasticity 14 1998 755 770
24. J. Li, and G.J. Weng A unified approach from elasticity to viscoelasticity to viscoplasticity of particle-reinforced solids Int. J. Plasticity 14 1998 193 208
25. J. Li, and G.J. Weng A secant-viscosity composite model for the strain-rate sensitivity of nanocrystalline materials Int. J. Plasticity 23 2007 2115 2133
26. M.A. Meyers, D.J. Benson, and H.H. Fu Grain size-yield stress relationship: analysis and computation Miner. Met. Mater. Soc. 1999 499 512
27. M.A. Meyers, A. Mishra, and D.J. Benson Mechanical properties of nanocrystalline materials Prog. Mater. Sci. 51 2006 427 556
28. K. Niihara New design concept of structural ceramic-ceramic nanocomposites J. Ceram. Soc. Jpn. 99 10 1991 974 982
29. K.A. Padmanabhan, P. Mondal, and H. Hahn Micro-indentation creep of porous nanocrystalline metallic and composite compacts J. Mater. Sci. 40 2005 6113 6120
30. Y. Qiu, and G.J. Weng A theory of plasticity for porous materials and particle-reinforced composites J. Appl. Mech. 59 1992 261 268
31. R. Rodriguez, R.W. Hayes, P.B. Berbon, and E.J. Lavernia Tensile and creep behavior of cryomilled inco 625 Acta Mater. 51 2003 911 929
32. J. Schiotz, F.D.D. Tolla, and K.W. Jacobsen Softening of nanocrystalline metals at very small grain sizes Nature 391 1998 561 563
33. R. Schwaiger, B. Moser, M. Dao, N. Chollacoop, and S. Suresh Some critical experiments on the strain-rate sensitivity of nanocrystalline nickel Acta Mater. 51 2003 5159 5172
34. P. Suquet Overall properties of nonlinear composites: a modified secant moduli theory and its link with ponte castaneda's nonlinear variational procedure CR Acad. Dec. Sci. 320 Ser. IIb 1995 563 571
35. G. Tandon, and G.J. Weng A theory of particle-reinforced plasticity J. Appl. Mech. 55 1988 126 135
36. A.F. Voter, F. Montalenti, and T.C. Germann Extending the time scale in atomistic simulation of materials Annu. Rev. Mater. Res. 32 2002 321 346
37. J. Wan, R. Duan, M. Gasch, and A. Mukherjee Highly creep-resistant silicon nitride/silicon carbide nano-nano composites J. Am. Ceram. Soc. 89 1 2006 274 280
38. N. Wang, Z. Wang, K.T. Aust, and U. Erb Effect of grain size on mechanical properties of nanocrystalline materials Acta Metall. Mater. 43 1995 519 528
39. Y.J. Wei, and L. Anand Grain-boundary sliding and separation in polycrystalline metals: application to nanocrystalline metals J. Mech. Phys. Solids 52 2004 2587 2616
40. Y.J. Wei, C. Su, and L. Anand A computational study of the mechanical behavior of nanocrystalline fcc metals Acta Mater. 54 2006 3177 3190
41. G.J. Weng Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions Int. J. Eng. Sci. 22 1984 845 856
42. W.M. Yin, and S.H. Whang Creep in boron-doped nanocrystalline nickel Scripta Mater. 44 2001 569 574
43. W.M. Yin, S.H. Whang, and R.A. Mirshams Effect of interstitials on tensile strength and creep in nanostructured Ni Acta Mater. 53 2005 383 392