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Volumn 21, Issue 2, 2009, Pages 109-123

Dislocation dynamics: From microscopic models to macroscopic crystal plasticity

Author keywords

Discrete to continuum approach; Frenkel Kontorova model; Hamilton Jacobi equations; Non local equations; Particle systems; Periodic homogenization; Phase field model

Indexed keywords

DISCRETE TO CONTINUUM APPROACH; FRENKEL-KONTOROVA MODEL; HAMILTON-JACOBI EQUATIONS; NON LOCAL EQUATIONS; PARTICLE SYSTEMS; PERIODIC HOMOGENIZATION; PHASE FIELD MODEL;

EID: 68149150040     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-009-0103-7     Document Type: Article
Times cited : (27)

References (24)
  • 3
    • 24944480311 scopus 로고    scopus 로고
    • On the boundary ergodic problem for fully nonlinear equations in bounded domains with general nonlinear Neumann boundary conditions
    • DOI 10.1016/j.anihpc.2004.09.001, PII S0294144905000090
    • G. Barles F. Da Lio 2005 On the boundary ergodic problem for fully nonlinear equations in bounded domains with general nonlinear neumann boundary conditions Annales de l'Institut Henri Poincaré Analyse non linéaire 22 5 521 541 (Pubitemid 41328781)
    • (2005) Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis , vol.22 , Issue.5 , pp. 521-541
    • Barles, G.1    Da Lio, F.2
  • 4
    • 43049183444 scopus 로고    scopus 로고
    • Second-order elliptic integro-differential equations: Viscosity solutions' theory revisited
    • G. Barles C. Imbert 2008 Second-order elliptic integro-differential equations: viscosity solutions' theory revisited Annales de l'IHP 25 3 567 585
    • (2008) Annales de l'Ihp , vol.25 , Issue.3 , pp. 567-585
    • Barles, G.1    Imbert, C.2
  • 6
    • 30544441113 scopus 로고    scopus 로고
    • Layer solutions in a half-space for boundary reactions
    • X. Cabré J. Solà-Morales 2005 Layer solutions in a half-space for boundary reactions Comm. Pure Appl. Math. 58 12 1678 1732
    • (2005) Comm. Pure Appl. Math. , vol.58 , Issue.12 , pp. 1678-1732
    • Cabré, X.1    Solà-Morales, J.2
  • 7
    • 18844480723 scopus 로고    scopus 로고
    • Edge dislocations in crystal structures considered as travelling waves of discrete models
    • 1-4 91(2), 029901-1 (2003)
    • Carpio, A., Bonilla, L.L.: Edge dislocations in crystal structures considered as travelling waves of discrete models, Phys. Rev. Lett. 90(13), 135502, 1-4 (2003); 91(2), 029901-1 (2003)
    • (2003) Phys. Rev. Lett. , vol.90 , Issue.13 , pp. 135502
    • Carpio, A.1    Bonilla, L.L.2
  • 9
    • 33646424094 scopus 로고    scopus 로고
    • Pinning and de-pinning phenomena in front propagation in heterogeneous media
    • N. Dirr N.K. Yip 2006 Pinning and de-pinning phenomena in front propagation in heterogeneous media Interfaces Free Boundaries 8 79 109
    • (2006) Interfaces Free Boundaries , vol.8 , pp. 79-109
    • Dirr, N.1    Yip, N.K.2
  • 10
    • 33747469213 scopus 로고    scopus 로고
    • Fractal first-order partial differential equations
    • DOI 10.1007/s00205-006-0429-2
    • J. Droniou C. Imbert 2006 Fractal first order partial dfferential equations Arch. Rat. Mech. Anal. 182 299 331 (Pubitemid 44259471)
    • (2006) Archive for Rational Mechanics and Analysis , vol.182 , Issue.2 , pp. 299-331
    • Droniou, J.1    Imbert, C.2
  • 12
    • 68149099391 scopus 로고    scopus 로고
    • Fino, A., Ibrahim, H., Monneau, R.: work in progress
    • Fino, A., Ibrahim, H., Monneau, R.: work in progress
  • 13
    • 63049095153 scopus 로고    scopus 로고
    • Homogenization of the dislocation dynamics and of some particle systems with two-body interactions
    • N. Forcadel C. Imbert R. Monneau 2009 Homogenization of the dislocation dynamics and of some particle systems with two-body interactions Discret. Continuous Dyn. Syst. A 23 3 785 826
    • (2009) Discret. Continuous Dyn. Syst. A , vol.23 , Issue.3 , pp. 785-826
    • Forcadel, N.1    Imbert, C.2    Monneau, R.3
  • 14
    • 55949110481 scopus 로고    scopus 로고
    • Homogenization of fully overdamped Frenkel-Kontorova models
    • N. Forcadel C. Imbert R. Monneau 2009 Homogenization of fully overdamped Frenkel-Kontorova models J. Differ. Equ. 246 3 1057 1097
    • (2009) J. Differ. Equ. , vol.246 , Issue.3 , pp. 1057-1097
    • Forcadel, N.1    Imbert, C.2    Monneau, R.3
  • 16
    • 84864155319 scopus 로고    scopus 로고
    • González, M., Monneau, R.: work in progress
    • González, M., Monneau, R.: work in progress
  • 17
    • 33750575794 scopus 로고    scopus 로고
    • Analysis of lattices with non-linear interphases
    • DOI 10.1007/s10409-006-0008-7
    • S. Haq A.B. Movchan G.J. Rodin 2006 Analysis of lattices with non-linear interphases Acta Mech. Sin. 22 323 330 (Pubitemid 44678190)
    • (2006) Acta Mechanica Sinica/Lixue Xuebao , vol.22 , Issue.4 , pp. 323-330
    • Haq, S.1    Movchan, A.B.2    Rodin, G.J.3
  • 20
    • 40249111521 scopus 로고    scopus 로고
    • Homogenization of first order equations with (u/ε)-periodic Hamiltonians. II. Application to dislocations dynamics
    • C. Imbert R. Monneau E. Rouy 2008 Homogenization of first order equations with (u/ε)-periodic Hamiltonians. II. Application to dislocations dynamics Comm. Partial Differ. Equ. 33 479 516
    • (2008) Comm. Partial Differ. Equ. , vol.33 , pp. 479-516
    • Imbert, C.1    Monneau, R.2    Rouy, E.3
  • 21
    • 0037847474 scopus 로고    scopus 로고
    • Mobility of lattice defects: Discrete and continuum approaches
    • O. Kresse L. Truskinovsky 2003 Mobility of lattice defects: discrete and continuum approaches J. Mech. Phys. Solids 51 1305 1332
    • (2003) J. Mech. Phys. Solids , vol.51 , pp. 1305-1332
    • Kresse, O.1    Truskinovsky, L.2
  • 22
    • 2442600284 scopus 로고    scopus 로고
    • Lattice friction for crystalline defects: From dislocations to cracks
    • O. Kresse L. Truskinovsky 2004 Lattice friction for crystalline defects: from dislocations to cracks J. Mech. Phys. Solids 52 2521 2543
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 2521-2543
    • Kresse, O.1    Truskinovsky, L.2
  • 23
    • 33847063876 scopus 로고    scopus 로고
    • Prototypical lattice model of a moving defect: The role of environmental viscosity
    • O. Kresse L. Truskinovsky 2007 Prototypical lattice model of a moving defect: the role of environmental viscosity Izvestiya, Phys. Solid Earth 43 1 63 66
    • (2007) Izvestiya, Phys. Solid Earth , vol.43 , Issue.1 , pp. 63-66
    • Kresse, O.1    Truskinovsky, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.