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Volumn 55, Issue 1, 2004, Pages 159-182

Microstructure evolution model in micromagnetics

Author keywords

Ferromagnetism; Hysteresis; Maximum dissipation principle; Rate independent dissipation; Uni axial magnets; Variational inequalities

Indexed keywords


EID: 1142288646     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-003-0110-7     Document Type: Article
Times cited : (25)

References (37)
  • 1
    • 0031169042 scopus 로고    scopus 로고
    • Magnetic vector hysteresis model with dry friction-like pinning
    • A. Bergqvist: Magnetic vector hysteresis model with dry friction-like pinning. Physica B 233 (1997), 342-347.
    • (1997) Physica B , vol.233 , pp. 342-347
    • Bergqvist, A.1
  • 6
    • 0039657059 scopus 로고    scopus 로고
    • Bounds on the micromagnetic energy of a uniaxial ferromagnet
    • R. Choksi, R.V. Kohn: Bounds on the micromagnetic energy of a uniaxial ferromagnet. Comm. Pure Appl. Math. 55 (1998), 259-289.
    • (1998) Comm. Pure Appl. Math. , vol.55 , pp. 259-289
    • Choksi, R.1    Kohn, R.V.2
  • 7
    • 0001630191 scopus 로고
    • On a class of doubly nonlinear evolution equations
    • P. Colli, A. Visintin: On a class of doubly nonlinear evolution equations. Comm. P.D.E. 15 (1990), 737-756.
    • (1990) Comm. P.D.E. , vol.15 , pp. 737-756
    • Colli, P.1    Visintin, A.2
  • 8
    • 34249770495 scopus 로고
    • Energy minimizers for large ferromagnetic bodies
    • A. DeSimone: Energy minimizers for large ferromagnetic bodies. Arch. Rat. Mech. Anal. 125 (1993), 99-143.
    • (1993) Arch. Rat. Mech. Anal. , vol.125 , pp. 99-143
    • DeSimone, A.1
  • 10
    • 0010921082 scopus 로고
    • Weak convergence in nonlinear elliptic and parabolic equations
    • Yu.A. Dubinskiǐ: Weak convergence in nonlinear elliptic and parabolic equations. (In Russian) Mat. Sbornik 67 (109) (1965), 609-642.
    • (1965) Mat. Sbornik , vol.67 , Issue.109 , pp. 609-642
    • Dubinskiǐ, Yu.A.1
  • 12
    • 0003164859 scopus 로고
    • A variational principle of maximum plastic work in classical plasticity
    • R. Hill: A variational principle of maximum plastic work in classical plasticity. Q. J. Mech. Appl. Math. 1 (1948), 18-28.
    • (1948) Q. J. Mech. Appl. Math. , vol.1 , pp. 18-28
    • Hill, R.1
  • 15
    • 0001845975 scopus 로고
    • Internal variables and fine scale oscillations in micromagnetics
    • R.D. James, S. Müller: Internal variables and fine scale oscillations in micromagnetics, Continuum Mech. Thermodyn. 6 (1994), 291-336.
    • (1994) Continuum Mech. Thermodyn. , vol.6 , pp. 291-336
    • James, R.D.1    Müller, S.2
  • 16
    • 0026911839 scopus 로고
    • A self consistent generalized model for the calculation of minor loop excursions in the theory of hysteresis
    • D. Jiles: A self consistent generalized model for the calculation of minor loop excursions in the theory of hysteresis. IEEE Trans. Mag. 28 (1992), 2603.
    • (1992) IEEE Trans. Mag. , vol.28 , pp. 2603
    • Jiles, D.1
  • 18
    • 0000899137 scopus 로고    scopus 로고
    • Modelling of hysteresis in two-phase system
    • M.S. Kuczma, A. Mielke, E. Stein: Modelling of hysteresis in two-phase system. Arch. Mech. 51 (1999), 693-715.
    • (1999) Arch. Mech. , vol.51 , pp. 693-715
    • Kuczma, M.S.1    Mielke, A.2    Stein, E.3
  • 19
    • 0000060534 scopus 로고
    • On the theory of the dispersion of magnetic permeability of ferromagnetic bodies
    • L.D. Landau, E.M. Lifshitz: On the theory of the dispersion of magnetic permeability of ferromagnetic bodies. Physik Z. Sowjetunion 8 (1935), 153-169.
    • (1935) Physik Z. Sowjetunion , vol.8 , pp. 153-169
    • Landau, L.D.1    Lifshitz, E.M.2
  • 23
    • 0036012128 scopus 로고    scopus 로고
    • A variational formulation of rate-independent phase transformations using an extremum principle
    • A. Mielke, F. Theil, V.I. Levitas: A variational formulation of rate-independent phase transformations using an extremum principle. Arch. Rat. Mech. Anal. 162 (2002), 137-177.
    • (2002) Arch. Rat. Mech. Anal. , vol.162 , pp. 137-177
    • Mielke, A.1    Theil, F.2    Levitas, V.I.3
  • 24
    • 34249763463 scopus 로고
    • Relaxation in ferromagnetism: The rigid case
    • P. Pedregal: Relaxation in ferromagnetism: the rigid case, J. Nonlinear Sci. 4 (1994), 105-125.
    • (1994) J. Nonlinear Sci. , vol.4 , pp. 105-125
    • Pedregal, P.1
  • 27
    • 0001844463 scopus 로고
    • A nonlocal model for the exchange energy in ferromagnetic materials
    • R.C. Rogers: A nonlocal model for the exchange energy in ferromagnetic materials. J. Int. Eq. Appl. 3 (1991), 85-127.
    • (1991) J. Int. Eq. Appl. , vol.3 , pp. 85-127
    • Rogers, R.C.1
  • 28
    • 84988146326 scopus 로고
    • Evolution of a microstructure: A convexified model
    • T. Roubíček: Evolution of a microstructure: a convexified model. Math. Methods in the Applied Sciences 16 (1993), 625-642.
    • (1993) Math. Methods in the Applied Sciences , vol.16 , pp. 625-642
    • Roubíček, T.1
  • 30
    • 0002980591 scopus 로고    scopus 로고
    • Dissipative evolution of microstructure in shape memory alloys
    • (H.-J.Bungartz, R.H.W.Hoppe, C.Zenger, eds.) Springer, Berlin
    • T. Roubíček: Dissipative evolution of microstructure in shape memory alloys. In: Lectures on Applied Mathematics (H.-J.Bungartz, R.H.W.Hoppe, C.Zenger, eds.) Springer, Berlin, 2000, pp.45-63.
    • (2000) Lectures on Applied Mathematics , pp. 45-63
    • Roubíček, T.1
  • 31
    • 33644534051 scopus 로고    scopus 로고
    • Optimization of fine structure in micromagnetism
    • Chiba. (N.Kenmochi, ed.) Gakuto Int. Series in Math. Sci. Appl.
    • T. Roubíček: Optimization of fine structure in micromagnetism. In: Free Boundary Problems II, Chiba, 1999. (N.Kenmochi, ed.) Gakuto Int. Series in Math. Sci. Appl. 14, 2000, pp.398-408.
    • (1999) Free Boundary Problems II , vol.14 , pp. 398-408
    • Roubíček, T.1
  • 32
    • 0003271269 scopus 로고    scopus 로고
    • Evolution model for martensitic phase transformation in shape-memory alloys
    • T. Roubíček: Evolution model for martensitic phase transformation in shape-memory alloys. Interfaces and Free Boundaries 4 (2002), 111-136.
    • (2002) Interfaces and Free Boundaries , vol.4 , pp. 111-136
    • Roubíček, T.1
  • 34
    • 0000653587 scopus 로고
    • Beyond Young measure
    • L. Tartar: Beyond Young measure. Meccanica 30 (1995), 505-526.
    • (1995) Meccanica , vol.30 , pp. 505-526
    • Tartar, L.1
  • 35
    • 0031162436 scopus 로고    scopus 로고
    • Modified Landau-Lifshitz equation for ferromagnetism
    • A. Visintin: Modified Landau-Lifshitz equation for ferromagnetism. Physica B 233 (1997), 365-369.
    • (1997) Physica B , vol.233 , pp. 365-369
    • Visintin, A.1
  • 36
    • 12444302442 scopus 로고    scopus 로고
    • On some models of ferromagnetism
    • (N.Kenmochi, ed.) Gakuto Int. Series in Math. Sci. Appl.
    • A. Visintin: On some models of ferromagnetism. In: Free Boundary Problems I Chiba, 1999. (N.Kenmochi, ed.) Gakuto Int. Series in Math. Sci. Appl. 13, 2000, pp.411-428.
    • (1999) Free Boundary Problems I Chiba , vol.13 , pp. 411-428
    • Visintin, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.