메뉴 건너뛰기




Volumn 199, Issue 45-48, 2010, Pages 2865-2875

A level set approach to domain wall kinetics and domain patterning in elastic ferroelectrics

Author keywords

Elastic ferroelectrics; Level set method; Material forces

Indexed keywords

AS INTERFACES; DOMAIN FORMATION; DOMAIN PATTERNING; DOMAIN WALL MOTION; ELASTIC FERROELECTRICS; ENERGY DENSITY FUNCTIONS; INHOMOGENEITIES; LEVEL SET APPROACH; LEVEL SET METHOD; MATERIAL FORCES; MOVING INTERFACE; PHASE-FIELD MODELS; SINGULAR SURFACES; TETRAGONAL CRYSTALS; TRANSITION LAYERS; VARIATIONAL LEVEL SET;

EID: 78549262651     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2010.05.009     Document Type: Article
Times cited : (4)

References (29)
  • 1
    • 0035630371 scopus 로고    scopus 로고
    • Ferroelectric and ferroelastic piezoceramics - modeling of electromechanical hysteresis phenomena
    • Kamlah M. Ferroelectric and ferroelastic piezoceramics - modeling of electromechanical hysteresis phenomena. Continuum. Mech. Thermodyn. 2001, 13:219-268.
    • (2001) Continuum. Mech. Thermodyn. , vol.13 , pp. 219-268
    • Kamlah, M.1
  • 2
    • 34547676608 scopus 로고    scopus 로고
    • Domain evolution in ferroelectric materials: a continuum phase field model and finite element implementation
    • Schrade D., Mueller R., Xu B.X., Gross D. Domain evolution in ferroelectric materials: a continuum phase field model and finite element implementation. Comput. Methods Appl. Engrg. 2007, 196:4365-4374.
    • (2007) Comput. Methods Appl. Engrg. , vol.196 , pp. 4365-4374
    • Schrade, D.1    Mueller, R.2    Xu, B.X.3    Gross, D.4
  • 3
    • 64249161984 scopus 로고    scopus 로고
    • Micromechanical analysis of ferroelectric structures by a phase field method
    • Xu B.X., Schrade D., Mueller R., Gross D. Micromechanical analysis of ferroelectric structures by a phase field method. Comput. Mater. Sci. 2009, 45:832-836.
    • (2009) Comput. Mater. Sci. , vol.45 , pp. 832-836
    • Xu, B.X.1    Schrade, D.2    Mueller, R.3    Gross, D.4
  • 4
    • 0036036465 scopus 로고    scopus 로고
    • Phase field models for microstructure evolution
    • Chen L.Q. Phase field models for microstructure evolution. Annu. Rev. Mater. Res. 2002, 32:113 40.
    • (2002) Annu. Rev. Mater. Res. , vol.32
    • Chen, L.Q.1
  • 5
    • 9344227936 scopus 로고    scopus 로고
    • A computational model of ferroelectric domains. Part I: model formulation and domain switching
    • Zhang W., Bhattacharya K. A computational model of ferroelectric domains. Part I: model formulation and domain switching. Acta Mater. 2005, 53:185-198.
    • (2005) Acta Mater. , vol.53 , pp. 185-198
    • Zhang, W.1    Bhattacharya, K.2
  • 6
    • 78549242745 scopus 로고    scopus 로고
    • An alternative theory for elastic ferroelectrics with quadrupole polarization, submitted for publication.
    • A.I. Arvanitakis, V.K. Kalpakides, E.P. Hadjigeorgiou, An alternative theory for elastic ferroelectrics with quadrupole polarization, submitted for publication.
    • Arvanitakis, A.I.1    Kalpakides, V.K.2    Hadjigeorgiou, E.P.3
  • 7
    • 25144523948 scopus 로고    scopus 로고
    • Driving forces on domain walls in ferroelectric materials
    • Mueller R., Gross D., Lupascu D.C. Driving forces on domain walls in ferroelectric materials. Comput. Mater. Sci. 2006, 35:42-52.
    • (2006) Comput. Mater. Sci. , vol.35 , pp. 42-52
    • Mueller, R.1    Gross, D.2    Lupascu, D.C.3
  • 9
    • 0000296207 scopus 로고
    • On the driving traction acting on a surface of strain discontinuity in a continuum
    • Abeyaratne R., Knowles J.K. On the driving traction acting on a surface of strain discontinuity in a continuum. J. Mech. Phys. Solids 1990, 38:345-360.
    • (1990) J. Mech. Phys. Solids , vol.38 , pp. 345-360
    • Abeyaratne, R.1    Knowles, J.K.2
  • 11
    • 33846916460 scopus 로고    scopus 로고
    • The equilibrium of material forces in a 1D phase transition problem
    • G Balassas K., Kalpakides V.K. The equilibrium of material forces in a 1D phase transition problem. Comput. Methods Appl. Engrg. 2007, 196:2161-2172.
    • (2007) Comput. Methods Appl. Engrg. , vol.196 , pp. 2161-2172
    • Balassas, G.K.1    Kalpakides, V.K.2
  • 13
    • 8644238062 scopus 로고    scopus 로고
    • On the comparison of two approaches to compute material forces for inelastic materials. Application to single-slip crystal-plasticity
    • Menzel A., Denzer R., Steinmann P. On the comparison of two approaches to compute material forces for inelastic materials. Application to single-slip crystal-plasticity. Comput. Methods Appl. Mech. Engrg. 2004, 193:5411-5428.
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , pp. 5411-5428
    • Menzel, A.1    Denzer, R.2    Steinmann, P.3
  • 14
    • 69549119959 scopus 로고    scopus 로고
    • Goal-oriented r-adaptivity based on variational arguments in the physical and material spaces
    • Materna D., Barthold F.J. Goal-oriented r-adaptivity based on variational arguments in the physical and material spaces. Comput. Methods Appl. Mech. Engrg. 2009, 198:3335-3351.
    • (2009) Comput. Methods Appl. Mech. Engrg. , vol.198 , pp. 3335-3351
    • Materna, D.1    Barthold, F.J.2
  • 16
    • 85118286413 scopus 로고    scopus 로고
    • Level set evolution without re-initialization: a new variational formulation, in: Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2005 (CVPR05).
    • C. Li, C. Xu, C. Gui, M.D. Fox, Level set evolution without re-initialization: a new variational formulation, in: Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2005 (CVPR05).
    • Li, C.1    Xu, C.2    Gui, C.3    Fox, M.D.4
  • 17
    • 0000704953 scopus 로고    scopus 로고
    • A level-set approach to the computation of twinning and phase-transition dynamics
    • Hou T., Rosakis P., LeFloch P.G. A level-set approach to the computation of twinning and phase-transition dynamics. J. Comput. Phys. 1999, 150:302-331.
    • (1999) J. Comput. Phys. , vol.150 , pp. 302-331
    • Hou, T.1    Rosakis, P.2    LeFloch, P.G.3
  • 18
    • 0030212523 scopus 로고    scopus 로고
    • Nonequilibrium thermodynamics of ferroelectric domain evolution
    • Loge R.E., Suo Z. Nonequilibrium thermodynamics of ferroelectric domain evolution. Acta mater. 1996, 44:3429-3438.
    • (1996) Acta mater. , vol.44 , pp. 3429-3438
    • Loge, R.E.1    Suo, Z.2
  • 19
    • 44749084234 scopus 로고
    • Front propagating with curvature-dependent speed: algorithms based on Hamilton Jacobi formulations
    • Osher S., Sethian J.A. Front propagating with curvature-dependent speed: algorithms based on Hamilton Jacobi formulations. J. Comput. Phys. 1988, 79:22-49.
    • (1988) J. Comput. Phys. , vol.79 , pp. 22-49
    • Osher, S.1    Sethian, J.A.2
  • 20
    • 0030210970 scopus 로고    scopus 로고
    • A variational level set approach to multiphase motion
    • Zhao H.K., Chan T., Merriman B., Osher S. A variational level set approach to multiphase motion. J. Comput. Phys. 1996, 127:179-195.
    • (1996) J. Comput. Phys. , vol.127 , pp. 179-195
    • Zhao, H.K.1    Chan, T.2    Merriman, B.3    Osher, S.4
  • 22
    • 46749113068 scopus 로고    scopus 로고
    • Shape-topology optimization of stokes flow via variational level set method
    • Duan X.B., Ma Y.C., Zhang R. Shape-topology optimization of stokes flow via variational level set method. Appl. Math. Comput. 2008, 202:200-209.
    • (2008) Appl. Math. Comput. , vol.202 , pp. 200-209
    • Duan, X.B.1    Ma, Y.C.2    Zhang, R.3
  • 23
    • 53449094897 scopus 로고    scopus 로고
    • Shape-topology optimization for Navier-Stokes problem using variational level set method
    • Duan X.B., Ma Y.C., Zhang R. Shape-topology optimization for Navier-Stokes problem using variational level set method. J. Comput. Appl. Math. 2008, 222:487-499.
    • (2008) J. Comput. Appl. Math. , vol.222 , pp. 487-499
    • Duan, X.B.1    Ma, Y.C.2    Zhang, R.3
  • 24
    • 84862270668 scopus 로고    scopus 로고
    • Configurational forces in continuous theories of elastic ferroelectrics, in: IUTAM Symposium, Progress in the Theory and Numerics of Configurational Mechanics, Dordrecht
    • V.K. Kalpakides, A.I. Arvanitakis, Configurational forces in continuous theories of elastic ferroelectrics, in: IUTAM Symposium, Progress in the Theory and Numerics of Configurational Mechanics, vol. 17, Dordrecht, 2009, pp. 229-238.
    • (2009) , vol.17 , pp. 229-238
    • Kalpakides, V.K.1    Arvanitakis, A.I.2
  • 25
    • 0031166317 scopus 로고    scopus 로고
    • Driving force on phase-transition fronts in thermoelectroelastic crystals
    • Maugin G.A., Trimarco C. Driving force on phase-transition fronts in thermoelectroelastic crystals. Math. Mech. Solids 1997, 2:199-214.
    • (1997) Math. Mech. Solids , vol.2 , pp. 199-214
    • Maugin, G.A.1    Trimarco, C.2
  • 26
    • 0002914251 scopus 로고    scopus 로고
    • Configurational Forces as Basic Concepts of Continuum Physics
    • Springer, New York
    • Gurtin M.E. Configurational Forces as Basic Concepts of Continuum Physics. Applied Mathematical Sciences 2000, vol. 137. Springer, New York.
    • (2000) Applied Mathematical Sciences , vol.137
    • Gurtin, M.E.1
  • 27
    • 78549241025 scopus 로고    scopus 로고
    • A multiple level set method for modeling grain boundary evolution of polycrystalline materials, Tech. Rep., UCLA, 2006, CAM Report 06-69.
    • X. Zhang, J.-S. Chen, S. Osher, A multiple level set method for modeling grain boundary evolution of polycrystalline materials, Tech. Rep., UCLA, 2006, CAM Report 06-69.
    • Zhang, X.1    Chen, J.-S.2    Osher, S.3
  • 28
    • 42649086470 scopus 로고    scopus 로고
    • A variational formulation for a level set representation of multiphase flow and area preserving curvature flow
    • Esedoglu S., Smereka P. A variational formulation for a level set representation of multiphase flow and area preserving curvature flow. Commun. Math. Sci. 2008, 6:125-148.
    • (2008) Commun. Math. Sci. , vol.6 , pp. 125-148
    • Esedoglu, S.1    Smereka, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.