메뉴 건너뛰기




Volumn 193, Issue 12-14, 2004, Pages 1277-1303

A variational formulation and a double-grid method for meso-scale modeling of stressed grain growth in polycrystalline materials

Author keywords

Grain boundary migration; Grain growth; Meshfree method; Microstructure evolution; Reproducing kernel approximation

Indexed keywords

APPROXIMATION THEORY; GRAIN BOUNDARIES; GRAIN GROWTH; KINEMATICS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; STRAIN; SURFACE TENSION;

EID: 1842523042     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2003.12.020     Document Type: Article
Times cited : (26)

References (44)
  • 2
    • 0023981075 scopus 로고
    • Theories of normal grain growth in pure single phase systems
    • Atkinson H.V. Theories of normal grain growth in pure single phase systems Acta Metall. 36 1988 469-491
    • (1988) Acta Metall. , vol.36 , pp. 469-491
    • Atkinson, H.V.1
  • 5
    • 85072467946 scopus 로고    scopus 로고
    • Meshfree smooth surface contact algorithm for sheet metal forming
    • Detroit, March 6-9
    • J.S. Chen, H.P. Wang, Meshfree smooth surface contact algorithm for sheet metal forming, in: Proceeding of SAE 2000, Detroit, March 6-9, 2000
    • (2000) Proceeding of SAE 2000
    • Chen, J.S.1    Wang, H.P.2
  • 6
    • 0345529301 scopus 로고    scopus 로고
    • Reproducing kernel interpolation without finite element enrichment
    • Chen J.S. Han W. You Y. Meng X. Reproducing kernel interpolation without finite element enrichment Int. J. Numer. Methods Engrg. 56 2003 935-960
    • (2003) Int. J. Numer. Methods Engrg. , vol.56 , pp. 935-960
    • Chen, J.S.1    Han, W.2    You, Y.3    Meng, X.4
  • 7
    • 0022162285 scopus 로고
    • The grain size effect on the flow stress of polycrystals
    • Chiang C.R. The grain size effect on the flow stress of polycrystals Scripta Metall. 19 1985 1281-1283
    • (1985) Scripta Metall. , vol.19 , pp. 1281-1283
    • Chiang, C.R.1
  • 8
    • 0030412761 scopus 로고    scopus 로고
    • A variational approach to two dimensional grain growth - I: Theory
    • Cocks A.C.F. Gill S.P.A. A variational approach to two dimensional grain growth--I: theory Acta Mater. 44 1996 4765-4775
    • (1996) Acta Mater. , vol.44 , pp. 4765-4775
    • Cocks, A.C.F.1    Gill, S.P.A.2
  • 9
    • 77956657809 scopus 로고    scopus 로고
    • Modeling microstructure evolution in engineering materials
    • Cocks A.C.F. Gill S.P.A. Pan J. Modeling 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
  • 10
    • 0028464233 scopus 로고
    • The structure of constitutive laws for the sintering of fine grained materials
    • Cocks A.C.F. The structure of constitutive laws for the sintering of fine grained materials Acta Metall. Mater. 42 1994 2191-2210
    • (1994) Acta Metall. Mater. , vol.42 , pp. 2191-2210
    • Cocks, A.C.F.1
  • 11
    • 0030383252 scopus 로고    scopus 로고
    • Treatment of material discontinuity in the element-free Galerkin method
    • Codes L.W. Moran B. Treatment of material discontinuity in the element-free Galerkin method Comput. Methods Appl. Mech. Engrg. 139 1996 75-89
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.139 , pp. 75-89
    • Codes, L.W.1    Moran, B.2
  • 12
    • 12044255779 scopus 로고
    • Two-dimensional normal grain growth: Topological aspects
    • Fradkov V.E. Two-dimensional normal grain growth: topological aspects Adv. Phys. 43 1994 739-789
    • (1994) Adv. Phys. , vol.43 , pp. 739-789
    • Fradkov, V.E.1
  • 13
    • 0023825864 scopus 로고
    • A two-dimensional computer simulation of capillarity-driven grain growth: Preliminary results
    • Frost H.J. Thompson C.V. Howe C.L. Whang J. A two-dimensional computer simulation of capillarity-driven grain growth: preliminary results Scripta Metall. 22 1988 65-70
    • (1988) Scripta Metall. , vol.22 , pp. 65-70
    • Frost, H.J.1    Thompson, C.V.2    Howe, C.L.3    Whang, J.4
  • 15
    • 0023965266 scopus 로고
    • Effect of grain size on the steady-state creep rate of inconel-718
    • Han Y. Chaturvedi M.C. Cahoon J.R. Effect of grain size on the steady-state creep rate of inconel-718 Scripta Metall. 22 1988 255-260
    • (1988) Scripta Metall. , vol.22 , pp. 255-260
    • Han, Y.1    Chaturvedi, M.C.2    Cahoon, J.R.3
  • 16
    • 0036530847 scopus 로고    scopus 로고
    • Combined atomistic and mesoscale simulation of grain growth in nanocrystalline materials
    • Haslam A.J. Moldovan D. Phillpot S.R. Wolf D. Gleiter H. Combined atomistic and mesoscale simulation of grain growth in nanocrystalline materials Comput. Mater. Sci. 23 2002 15-32
    • (2002) Comput. Mater. Sci. , vol.23 , pp. 15-32
    • Haslam, A.J.1    Moldovan, D.2    Phillpot, S.R.3    Wolf, D.4    Gleiter, H.5
  • 17
    • 0037453214 scopus 로고    scopus 로고
    • Stress-enhanced grain growth in a nanocrystalline material by molecular-dynamics simulation
    • Haslam A.J. Moldovan D. Yamakov V. Wolf D. Phillpot S.R. Gleiter H. Stress-enhanced grain growth in a nanocrystalline material by molecular-dynamics simulation Acta Mater. 51 2003 2097-2112
    • (2003) Acta Mater. , vol.51 , pp. 2097-2112
    • Haslam, A.J.1    Moldovan, D.2    Yamakov, V.3    Wolf, D.4    Phillpot, S.R.5    Gleiter, H.6
  • 18
    • 0024731678 scopus 로고
    • Vertex models for two-dimensional grain growth
    • Kawasaki K. Nagai T. Nakashima K. Vertex models for two-dimensional grain growth Philos. Mag. B 60 1989 399-421
    • (1989) Philos. Mag. B , vol.60 , pp. 399-421
    • Kawasaki, K.1    Nagai, T.2    Nakashima, K.3
  • 22
    • 0026868981 scopus 로고
    • A diffusional creep law for powder compacts
    • McMeeking R.M. Kuhn L.T. A diffusional creep law for powder compacts Acta Metall. Mater. 40 1992 961-969
    • (1992) Acta Metall. Mater. , vol.40 , pp. 961-969
    • McMeeking, R.M.1    Kuhn, L.T.2
  • 23
    • 0037053492 scopus 로고    scopus 로고
    • Mesoscopic simulations of two-dimensional grain growth with anisotropic grain-boundary properties
    • Moldovan D. Wolf D. Phillpot S.R. Haslam A.J. Mesoscopic simulations of two-dimensional grain growth with anisotropic grain-boundary properties Philos. Mag. A 82 2002 1271-1297
    • (2002) Philos. Mag. A , vol.82 , pp. 1271-1297
    • Moldovan, D.1    Wolf, D.2    Phillpot, S.R.3    Haslam, A.J.4
  • 24
    • 0036682213 scopus 로고    scopus 로고
    • Role of grain rotation during grain growth in a columnar microstructure by mesoscale simulation
    • Moldovan D. Wolf D. Phillpot S.R. Haslam A.J. Role of grain rotation during grain growth in a columnar microstructure by mesoscale simulation Acta Mater. 50 2002 3397-3414
    • (2002) Acta Mater. , vol.50 , pp. 3397-3414
    • Moldovan, D.1    Wolf, D.2    Phillpot, S.R.3    Haslam, A.J.4
  • 25
    • 0016060166 scopus 로고
    • Dislocated cellular structures
    • Morral J.E. Ashby M.F. Dislocated cellular structures Acta Metall. 22 1974 567-575
    • (1974) Acta Metall. , vol.22 , pp. 567-575
    • Morral, J.E.1    Ashby, M.F.2
  • 26
    • 21544450961 scopus 로고
    • Theory of thermal grooving
    • Mullins W.W. Theory of thermal grooving J. Appl. Phys. 28 1957 333
    • (1957) J. Appl. Phys. , vol.28 , pp. 333
    • Mullins, W.W.1
  • 27
    • 36849136823 scopus 로고
    • Two dimensional motion of idealized grain boundaries
    • Mullins W.W. Two dimensional motion of idealized grain boundaries J. Appl. Phys. 27 1956 900
    • (1956) J. Appl. Phys. , vol.27 , pp. 900
    • Mullins, W.W.1
  • 28
    • 0019070179 scopus 로고
    • Plastic creep flow effects in the diffusive cavitation of grain boundaries
    • Needleman A. Rice J.R. 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
  • 29
    • 0018032419 scopus 로고
    • Computer simulation of normal grain growth
    • Novikov V.Yu. Computer simulation of normal grain growth Acta Metall. 26 1978 1739-1744
    • (1978) Acta Metall. , vol.26 , pp. 1739-1744
    • Novikov, V.Yu.1
  • 30
    • 0000344458 scopus 로고
    • A numerical analysis technique for the coupled surface and grain-boundary diffusion
    • Pan J. Cocks A.C.F. A numerical analysis technique for the coupled surface and grain-boundary diffusion Acta Metall. Mater. 43 1995 1395-1406
    • (1995) Acta Metall. Mater. , vol.43 , pp. 1395-1406
    • Pan, J.1    Cocks, A.C.F.2
  • 31
    • 0027559593 scopus 로고
    • Numerical simulation of superplastic deformation
    • Pan J. Cocks A.C.F. 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
  • 32
    • 0002239857 scopus 로고
    • Kinetics of the Q-state potts model in two dimensions
    • Sahni P.S. Grest G.S. Safran S.A. Kinetics of the Q-state potts model in two dimensions Phys. Rev. Lett. 50 1983 263-266
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 263-266
    • Sahni, P.S.1    Grest, G.S.2    Safran, S.A.3
  • 33
    • 0031274627 scopus 로고    scopus 로고
    • Molecular-dynamics method for the simulation of grain-boundary migration
    • Schönfelder B. Wolf D. Phillpot S.R. Furtkamp M. Molecular-dynamics method for the simulation of grain-boundary migration Interf. Sci. 5 1997 245-262
    • (1997) Interf. Sci. , vol.5 , pp. 245-262
    • Schönfelder, B.1    Wolf, D.2    Phillpot, S.R.3    Furtkamp, M.4
  • 34
    • 0013372219 scopus 로고
    • Grain shapes and other metallurgical applications of topology
    • Cleveland, Ohio: American Society for Metals
    • Smith C.S. Grain shapes and other metallurgical applications of topology, Metal Interfaces 1952 American Society for Metals Cleveland, Ohio pp. 65-108
    • (1952) Metal Interfaces
    • Smith, C.S.1
  • 35
    • 0022388503 scopus 로고
    • Computer simulation of grain growth in a bidimensional polycrystal
    • Soares A. Ferro A.C. Fortes M.A. Computer simulation of grain growth in a bidimensional polycrystal Scripta Metall. 19 1985 1491-1496
    • (1985) Scripta Metall. , vol.19 , pp. 1491-1496
    • Soares, A.1    Ferro, A.C.2    Fortes, M.A.3
  • 36
    • 0031378762 scopus 로고    scopus 로고
    • A finite element method for simulating interface motion - II: Large shape change due to surface diffusion
    • Sun B. Suo Z. A finite element method for simulating interface motion--II: Large shape change due to surface diffusion Acta Mater. 45 1997 953-4962
    • (1997) Acta Mater. , vol.45 , pp. 953-4962
    • Sun, B.1    Suo, Z.2
  • 37
    • 0001554905 scopus 로고
    • Diffusive void bifurcation in stressed solid
    • Suo Z. Wang W. 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, W.2
  • 38
    • 0026368036 scopus 로고
    • On diffusion-controlled evolution of closed solid-state thermodynamic systems at constant temperature and pressure
    • Svoboda J. Turek I. On diffusion-controlled evolution of closed solid-state thermodynamic systems at constant temperature and pressure Philos. Mag. B 64 1991 749-759
    • (1991) Philos. Mag. B , vol.64 , pp. 749-759
    • Svoboda, J.1    Turek, I.2
  • 39
    • 77956684343 scopus 로고    scopus 로고
    • Grain growth and evolution of other cellular structures
    • Thompson C.V. Grain growth and evolution of other cellular structures Solid State Phys. 55 2000 269-314
    • (2000) Solid State Phys. , vol.55 , pp. 269-314
    • Thompson, C.V.1
  • 41
    • 0032003055 scopus 로고    scopus 로고
    • Atomistic simulation of curvature driven grain boundary migration
    • Upmanyu M. Smith R.W. Srolvitz D.J. Atomistic simulation of curvature driven grain boundary migration Interf. Sci. 6 1998 41-58
    • (1998) Interf. Sci. , vol.6 , pp. 41-58
    • Upmanyu, M.1    Smith, R.W.2    Srolvitz, D.J.3
  • 43
    • 0037404310 scopus 로고    scopus 로고
    • Homogenization of magnetostrictive particle-filled elastomers using meshfree method with interface discontinuity
    • Wang D. Chen J.S. Sun L. Homogenization of magnetostrictive particle-filled elastomers using meshfree method with interface discontinuity Finite Element Anal. Des. 39 2003 765-782
    • (2003) Finite Element Anal. Des. , vol.39 , pp. 765-782
    • Wang, D.1    Chen, J.S.2    Sun, L.3
  • 44
    • 0032187762 scopus 로고    scopus 로고
    • A vertex dynamics simulation of grain growth in two dimensions
    • Weygand D. Brechet Y. A vertex dynamics simulation of grain growth in two dimensions Philos. Mag. B 78 1998 329-352
    • (1998) Philos. Mag. B , vol.78 , pp. 329-352
    • Weygand, D.1    Brechet, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.