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Volumn 196, Issue 2, 2004, Pages 724-750

Cubic spline elements for modelling microstructural evolution of materials controlled by solid-state diffusion and grain-boundary migration

Author keywords

Computer simulation; Cubic spline; Finite element; Grain boundary; Microstructural evolution; Model; Sintering; Solid state diffusion

Indexed keywords

DIFFUSION IN SOLIDS; FINITE ELEMENT METHOD; INTERPOLATION; MICROSTRUCTURAL EVOLUTION; SINTERING;

EID: 2442577064     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2003.11.012     Document Type: Article
Times cited : (29)

References (25)
  • 2
    • 0028409294 scopus 로고
    • Surface motion by surface diffusion
    • J.W. Cahn, J.E. Taylor, Surface motion by surface diffusion, Acta Metall. 42 (1994) 1045-1063.
    • (1994) Acta Metall. , vol.42 , pp. 1045-1063
    • Cahn, J.W.1    Taylor, J.E.2
  • 3
    • 0006070011 scopus 로고
    • A finite element description of grain-boundary diffusion controlled processes in ceramic materials
    • I.M. Allison, C. Ruiz (Eds.), Elsevier, North-Holland, Amsterdam
    • A.C.F. Cocks, A finite element description of grain-boundary diffusion controlled processes in ceramic materials, in: I.M. Allison, C. Ruiz (Eds.), Applied Solid Mechanics, vol. 3, Elsevier, North-Holland, Amsterdam, 1989, pp. 30-42.
    • (1989) Applied Solid Mechanics , vol.3 , pp. 30-42
    • Cocks, A.C.F.1
  • 4
    • 0030243029 scopus 로고    scopus 로고
    • Variational principles, numerical schemes and bounding theorems for deformation by Nabarro-Herring creep
    • A.C.F. Cocks, Variational principles, numerical schemes and bounding theorems for deformation by Nabarro-Herring creep, J. Mech. Phys. Solids 44 (1996) 1429.
    • (1996) J. Mech. Phys. Solids , vol.44 , pp. 1429
    • Cocks, A.C.F.1
  • 5
    • 0030412761 scopus 로고    scopus 로고
    • A variational approach to two dimensional grain-growth, I. Theory
    • A.C.F. Cocks, S.P.A. Gill, A variational approach to two dimensional grain-growth, I. Theory, Acta Metall. 44 (1996) 4765-4775.
    • (1996) Acta Metall. , vol.44 , pp. 4765-4775
    • Cocks, A.C.F.1    Gill, S.P.A.2
  • 6
    • 0027573313 scopus 로고
    • Void growth ahead of a dominant crack in a material which deforms by Coble creep
    • A.C.F. Cocks, J. Pan, Void growth ahead of a dominant crack in a material which deforms by Coble creep, Int. J. Fract. 60 (1993) 249-265.
    • (1993) Int. J. Fract. , vol.60 , pp. 249-265
    • Cocks, A.C.F.1    Pan, J.2
  • 7
    • 0025536657 scopus 로고
    • Cavity growth in ceramic materials under multiaxial stress states
    • A.C.F. Cocks, A.A. Searle, Cavity growth in ceramic materials under multiaxial stress states, Acta Metall. 38 (1989) 2493.
    • (1989) Acta Metall. , vol.38 , pp. 2493
    • Cocks, A.C.F.1    Searle, A.A.2
  • 8
    • 77956657809 scopus 로고    scopus 로고
    • Modelling microstructure evolution in engineering materials
    • A.C.F. Cocks, S.P.A. Gill, J. Pan, Modelling microstructure evolution in engineering materials, Adv. Appl. Mech. 36 (1999) 81-162.
    • (1999) Adv. Appl. Mech. , vol.36 , pp. 81-162
    • Cocks, A.C.F.1    Gill, S.P.A.2    Pan, J.3
  • 9
    • 0002431632 scopus 로고
    • Surface tension as a motivation for sintering
    • W.E. Kingston (Ed.), McGraw-Hill, New York
    • C. Herring, Surface tension as a motivation for sintering, in: W.E. Kingston (Ed.), The Physics of Powder Metallurgy, McGraw-Hill, New York, 1955.
    • (1955) The Physics of Powder Metallurgy
    • Herring, C.1
  • 11
    • 0007995977 scopus 로고    scopus 로고
    • A combined finite element and finite difference scheme for computer simulation of microstructure evolution and its application to pore-boundary separation during sintering
    • S. Kucherenko, J. Pan, J.A. Yeomans, A combined finite element and finite difference scheme for computer simulation of microstructure evolution and its application to pore-boundary separation during sintering, Comput. Mater. Sci. 18 (2000) 76-92.
    • (2000) Comput. Mater. Sci. , vol.18 , pp. 76-92
    • Kucherenko, S.1    Pan, J.2    Yeomans, J.A.3
  • 12
    • 21544450961 scopus 로고
    • Theory of thermal grooving
    • W.W. Mullins, Theory of thermal grooving, J. Appl. Phys. 28 (1957) 333-339.
    • (1957) J. Appl. Phys. , vol.28 , pp. 333-339
    • Mullins, W.W.1
  • 13
    • 0029360183 scopus 로고
    • Mass transport at interfaces in single component systems
    • W.W. Mullins, Mass transport at interfaces in single component systems, Met. Mat. Trans. A 26A (1995) 1917.
    • (1995) Met. Mat. Trans. A , vol.26 A , pp. 1917
    • Mullins, W.W.1
  • 14
    • 0019070179 scopus 로고
    • Plastic creep flow effects in the diffusive cavitation of grain boundaries
    • A. Needleman, J.R. Rice, Plastic creep flow effects in the diffusive cavitation of grain boundaries, Acta Metall. 28 (1980) 1315-1332.
    • (1980) Acta Metall. , vol.28 , pp. 1315-1332
    • Needleman, A.1    Rice, J.R.2
  • 15
    • 0037504321 scopus 로고    scopus 로고
    • Modelling sintering at different length scales
    • J. Pan, Modelling sintering at different length scales, Int. Mater. Rev. 48 (2) (2003) 1-17.
    • (2003) Int. Mater. Rev. , vol.48 , Issue.2 , pp. 1-17
    • Pan, J.1
  • 16
    • 0027559593 scopus 로고
    • Numerical simulation of superplastic deformation
    • J. Pan, A.C.F. Cocks, Numerical simulation of superplastic deformation, Comput. Mater. Sci. 1 (1993) 95-109.
    • (1993) Comput. Mater. Sci. , vol.1 , pp. 95-109
    • Pan, J.1    Cocks, A.C.F.2
  • 17
    • 0000344458 scopus 로고
    • A numerical technique for the analysis of coupled surface and grain-boundary diffusion
    • J. Pan, A.C.F. Cocks, A numerical technique for the analysis of coupled surface and grain-boundary diffusion, Acta Mater. 43 (1995) 1395-1406.
    • (1995) Acta Mater. , vol.43 , pp. 1395-1406
    • Pan, J.1    Cocks, A.C.F.2
  • 18
    • 0346102418 scopus 로고    scopus 로고
    • Finite element formulation of coupled grain-boundary and surface diffusion with grain-boundary migration
    • J. Pan, A.C.F. Cocks, S. Kucherenko, Finite element formulation of coupled grain-boundary and surface diffusion with grain-boundary migration, Proc. Roy. Soc., London A 453 (1997) 2161-2184.
    • (1997) Proc. Roy. Soc. London A , vol.453 , pp. 2161-2184
    • Pan, J.1    Cocks, A.C.F.2    Kucherenko, S.3
  • 19
    • 85189844221 scopus 로고    scopus 로고
    • Sintering kinetic of large pores
    • Mech. Mater. submitted. Also see PhD thesis 'A numerical study of microstructural evolution during solid state sintering' by H.N. Ch'ng, May 2003, University of Surrey
    • J. Pan, H.N. Ch'ng, A.C.F. Cocks, Sintering kinetic of large pores, Mech. Mater. (2003), submitted. Also see PhD thesis 'A numerical study of microstructural evolution during solid state sintering' by H.N. Ch'ng, May 2003, University of Surrey.
    • (2003)
    • Pan, J.1    Ch'ng, H.N.2    Cocks, A.C.F.3
  • 20
    • 0032132390 scopus 로고    scopus 로고
    • A model for the sintering of spherical particles of different sizes
    • J. Pan, H. Le, S. Kucherenko, J.A. Yeomans, A model for the sintering of spherical particles of different sizes, Acta Mater. 46 (1998) 4671-4690.
    • (1998) Acta Mater. , vol.46 , pp. 4671-4690
    • Pan, J.1    Le, H.2    Kucherenko, S.3    Yeomans, J.A.4
  • 21
    • 0031146427 scopus 로고    scopus 로고
    • A finite element method for simulating interface motion, part 1: Migration of phase and grain-boundaries
    • B. Sun, Z. Suo, W. Yang, A finite element method for simulating interface motion, part 1: migration of phase and grain-boundaries, Acta Mater. 45 (5) (1997) 1907-1915.
    • (1997) Acta Mater. , vol.45 , Issue.5 , pp. 1907-1915
    • Sun, B.1    Suo, Z.2    Yang, W.3
  • 22
    • 77956667863 scopus 로고    scopus 로고
    • Motions of microscopic surfaces in materials
    • Z. Suo, Motions of microscopic surfaces in materials, Adv. Appl. Mech. 33 (1997) 193-294.
    • (1997) Adv. Appl. Mech. , vol.33 , pp. 193-294
    • Suo, Z.1
  • 23
    • 0001554905 scopus 로고
    • Diffusive void bifurcation in stressed solid
    • Z. Suo, Z. Wang, Diffusive void bifurcation in stressed solid, J. Appl. Phys. 76 (1994) 3410-3421.
    • (1994) J. Appl. Phys. , vol.76 , pp. 3410-3421
    • Suo, Z.1    Wang, Z.2
  • 24
    • 0001468005 scopus 로고
    • The sintering of two particles by surface and grain-boundary diffusion - A two-dimensional study
    • W. Zhang, J.H. Schneibel, The sintering of two particles by surface and grain-boundary diffusion - a two-dimensional study, Acta Metall. 43 (1995) 4377.
    • (1995) Acta Metall. , vol.43 , pp. 4377
    • Zhang, W.1    Schneibel, J.H.2
  • 25
    • 0037058481 scopus 로고    scopus 로고
    • Coalescence of two particles with different sizes by surface diffusion
    • W. Zhang, P. Sachenko, J.H. Schneibel, I. Gladwell, Coalescence of two particles with different sizes by surface diffusion, Phil. Mag. A 82 (2002) 2995-3011.
    • (2002) Phil. Mag. A , vol.82 , pp. 2995-3011
    • Zhang, W.1    Sachenko, P.2    Schneibel, J.H.3    Gladwell, I.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.