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Volumn 1, Issue 1, 2012, Pages 311-329

A framework for the two-scale homogenization of electro-mechanically coupled boundary value problems

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EID: 84870506218     PISSN: 18698433     EISSN: 18698441     Source Type: Book Series    
DOI: None     Document Type: Article
Times cited : (9)

References (50)
  • 1
    • 0002631757 scopus 로고
    • Exact results in the micromechanics of fibrous piezoelectric composites exhibiting pyroelectricity
    • Benveniste, Y.: Exact results in the micromechanics of fibrous piezoelectric composites exhibiting pyroelectricity. Proceedings of the Royal Society London A 441, 59-81 (1911)
    • (1911) Proceedings of the Royal Society London A , vol.441 , pp. 59-81
    • Benveniste, Y.1
  • 2
    • 0027607028 scopus 로고
    • Universal relations in piezoelectric composites with eigenstress and polarization fields, part i: Binary media: Local fields and effective behavior
    • Benveniste, Y.: Universal relations in piezoelectric composites with eigenstress and polarization fields, part i: Binary media: Local fields and effective behavior. Journal of Applied Mechanics 60, 265-269 (1993)
    • (1993) Journal of Applied Mechanics , vol.60 , pp. 265-269
    • Benveniste, Y.1
  • 3
    • 0027609215 scopus 로고
    • Universal relations in piezoelectric composites with eigenstress and polarization fields, part ii: Multiphase media-effective behavior
    • Benveniste, Y.: Universal relations in piezoelectric composites with eigenstress and polarization fields, part ii: Multiphase media-effective behavior. Journal of Applied Mechanics 60, 270-275 (1993)
    • (1993) Journal of Applied Mechanics , vol.60 , pp. 270-275
    • Benveniste, Y.1
  • 4
    • 0030714721 scopus 로고    scopus 로고
    • Piezoelectric inhomogeneity problems in anti-plane shear and in-plane electric fields-how to obtain the coupled fields from the uncoupled dielectric solution
    • Benveniste, Y.: Piezoelectric inhomogeneity problems in anti-plane shear and in-plane electric fields-how to obtain the coupled fields from the uncoupled dielectric solution. Mechanics of Materials 25(1), 59-65 (1997)
    • (1997) Mechanics of Materials , vol.25 , Issue.1 , pp. 59-65
    • Benveniste, Y.1
  • 5
    • 0027696255 scopus 로고
    • Piezoelectric properties of multiphase fibrous composites: Some theoretical results
    • Chen, T.: Piezoelectric properties of multiphase fibrous composites: Some theoretical results. Journal of the Mechanics and Physics of Solids 41(11), 1781-1794 (1993)
    • (1993) Journal of the Mechanics and Physics of Solids , vol.41 , Issue.11 , pp. 1781-1794
    • Chen, T.1
  • 6
    • 0028544623 scopus 로고
    • Micromechanical estimates of the overall thermoelectroelastic moduli of multiphase fibrous composites
    • Chen, T.:Micromechanical estimates of the overall thermoelectroelastic moduli of multiphase fibrous composites. International Journal of Solids and Structures 31(22), 3099-3111 (1994)
    • (1994) International Journal of Solids and Structures , vol.31 , Issue.22 , pp. 3099-3111
    • Chen, T.1
  • 7
    • 0001652353 scopus 로고
    • An analysis of piezoelectric composite materials containing ellipsoidal inhomogeneities
    • Dunn, M.L., Taya, M.: An analysis of piezoelectric composite materials containing ellipsoidal inhomogeneities. Proceedings of the Royal Society London A 443, 265-287 (1918)
    • (1918) Proceedings of the Royal Society London A , vol.443 , pp. 265-287
    • Dunn, M.L.1    Taya, M.2
  • 8
    • 0011835263 scopus 로고
    • Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites
    • Dunn, M.L., Taya, M.: Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites. International Journal of Solids and Structures 30, 161-175 (1993)
    • (1993) International Journal of Solids and Structures , vol.30 , pp. 161-175
    • Dunn, M.L.1    Taya, M.2
  • 9
    • 0035243166 scopus 로고    scopus 로고
    • A model for predicting effective properties of piezocomposites with non-piezoelectric inclusions
    • Fang, D.N., Jiang, B., Hwang, K.C.: A model for predicting effective properties of piezocomposites with non-piezoelectric inclusions. Journal of Elasticity 62(2), 95-118 (2001)
    • (2001) Journal of Elasticity , vol.62 , Issue.2 , pp. 95-118
    • Fang, D.N.1    Jiang, B.2    Hwang, K.C.3
  • 11
    • 27744489677 scopus 로고
    • On some variational principles in anisotropic and nonhomogeneous elasticity
    • Hashin, Z., Shtrikman, S.: On some variational principles in anisotropic and nonhomogeneous elasticity. Journal of the Mechanics and Physics of Solids 10, 335-342 (1962)
    • (1962) Journal of the Mechanics and Physics of Solids , vol.10 , pp. 335-342
    • Hashin, Z.1    Shtrikman, S.2
  • 12
    • 6544226089 scopus 로고
    • Elastic properties of reinforced solids: Some theoretical principles
    • Hill, R.: Elastic properties of reinforced solids: Some theoretical principles. Journal of the Mechanics and Physics of Solids 11, 357-372 (1963)
    • (1963) Journal of the Mechanics and Physics of Solids , vol.11 , pp. 357-372
    • Hill, R.1
  • 13
    • 0001155575 scopus 로고
    • On constitutive macro-variables for heterogeneous solids at finite strain
    • Hill, R.: On constitutive macro-variables for heterogeneous solids at finite strain. Proceedings of the Royal Society London A 326(1565), 131-147 (1972)
    • (1972) Proceedings of the Royal Society London A , vol.326 , Issue.1565 , pp. 131-147
    • Hill, R.1
  • 14
    • 84971128424 scopus 로고
    • On the micro-to-macro transition in constitutive analyses of elastoplastic response at finite strain
    • Hill, R.: On the micro-to-macro transition in constitutive analyses of elastoplastic response at finite strain. Mathematical Proceedings of the Cambridge Philosophical Society 98, 579-590 (1985)
    • (1985) Mathematical Proceedings of the Cambridge Philosophical Society , vol.98 , pp. 579-590
    • Hill, R.1
  • 15
    • 0032166650 scopus 로고    scopus 로고
    • Universal bounds for effective piezoelectric moduli
    • Hori, M., Nemat-Nasser, S.: Universal bounds for effective piezoelectric moduli. Mechanics of Materials 30(1), 1-19 (1998)
    • (1998) Mechanics of Materials , vol.30 , Issue.1 , pp. 1-19
    • Hori, M.1    Nemat-Nasser, S.2
  • 17
    • 0002531324 scopus 로고
    • Bounds for effective elastic moduli of disordered materials
    • Kröner, E.: Bounds for effective elastic moduli of disordered materials. Journal of the Mechanics and Physics of Solids 25, 137-155 (1977)
    • (1977) Journal of the Mechanics and Physics of Solids , vol.25 , pp. 137-155
    • Kröner, E.1
  • 19
    • 0037405640 scopus 로고    scopus 로고
    • Effective electromechanical properties of transversely isotropic piezoelectric ceramics with microvoids
    • Li, Z., Wang, C., Chen, C.: Effective electromechanical properties of transversely isotropic piezoelectric ceramics with microvoids. Computational Materials Science 27(3), 381-392 (2003)
    • (2003) Computational Materials Science , vol.27 , Issue.3 , pp. 381-392
    • Li, Z.1    Wang, C.2    Chen, C.3
  • 22
    • 0032686773 scopus 로고    scopus 로고
    • Effective properties of composite materials with periodic microstructure: A computational approach
    • Michel, J.C., Moulinec, H., Suquet, P.: Effective properties of composite materials with periodic microstructure: a computational approach. Computer Methods in Applied Mechanics and Engineering 172(1-4), 109-143 (1999)
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.172 , Issue.1-4 , pp. 109-143
    • Michel, J.C.1    Moulinec, H.2    Suquet, P.3
  • 23
    • 0036631366 scopus 로고    scopus 로고
    • Computational micro-to-macro transitions of discretized microstructures undergoing small strains
    • Miehe, C., Koch, A.: Computational micro-to-macro transitions of discretized microstructures undergoing small strains. Archive of Applied Mechanics 72(4), 300-317 (2002)
    • (2002) Archive of Applied Mechanics , vol.72 , Issue.4 , pp. 300-317
    • Miehe, C.1    Koch, A.2
  • 24
    • 0000516443 scopus 로고    scopus 로고
    • Computational micro-macro transitions and overall moduli in the analysis of polycrystals at large strains
    • Miehe, C., Schotte, J., Schröder, J.: Computational micro-macro transitions and overall moduli in the analysis of polycrystals at large strains. Computational Materials Science 16(1-4), 372-382 (1999)
    • (1999) Computational Materials Science , vol.16 , Issue.1-4 , pp. 372-382
    • Miehe, C.1    Schotte, J.2    Schröder, J.3
  • 25
    • 0033116492 scopus 로고    scopus 로고
    • Computational homogenization analysis in finite plasticity simulation of texture development in polycrystalline materials
    • Miehe, C., Schröder, J., Schotte, J.: Computational homogenization analysis in finite plasticity simulation of texture development in polycrystalline materials. Computer Methods in Applied Mechanics and Engineering 171(3-4), 387-418 (1999)
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.171 , Issue.3-4 , pp. 387-418
    • Miehe, C.1    Schröder, J.2    Schotte, J.3
  • 26
    • 0003478204 scopus 로고
    • Micromechanics: Overall Properties of Heterogeneous Materials
    • North-Holland, London
    • Nemat-Nasser, S., Hori, M.:Micromechanics: Overall Properties of Heterogeneous Materials. North-Holland, London (1993)
    • (1993)
    • Nemat-Nasser, S.1    Hori, M.2
  • 28
    • 33745983256 scopus 로고    scopus 로고
    • Coordinate invariant modelling of the ferroelectric hysteresis within a thermodynamically consistent framework. A mesoscopic approach
    • In: Wang, Y., Hutter, K. (eds.), Shaker Verlag, Aachen
    • Romanowski, H., Schröder, J.: Coordinate invariant modelling of the ferroelectric hysteresis within a thermodynamically consistent framework. A mesoscopic approach. In: Wang, Y., Hutter, K. (eds.) Trends in Applications of Mathematics and Mechanics, pp. 419-428. Shaker Verlag, Aachen (2005)
    • (2005) Trends in Applications of Mathematics and Mechanics , pp. 419-428
    • Romanowski, H.1    Schröder, J.2
  • 29
    • 0003489725 scopus 로고
    • Non-Homogeneous Media and Vibration
    • Springer, Berlin
    • Sanchez-Palencia, E.: Non-Homogeneous Media and Vibration. Lecture Notes in Physics, vol. 172. Springer, Berlin (1980)
    • (1980) Lecture Notes in Physics , vol.172
    • Sanchez-Palencia, E.1
  • 31
    • 69249231107 scopus 로고    scopus 로고
    • Derivation of the localization and homogenization conditions for electromechanically coupled problems
    • Corrected Proof, (in press)
    • Schröder, J.: Derivation of the localization and homogenization conditions for electromechanically coupled problems. Computational Materials Science (Corrected Proof, 2009) (in press)
    • (2009) Computational Materials Science
    • Schröder, J.1
  • 32
    • 1942537808 scopus 로고    scopus 로고
    • Invariant formulation of the electromechanical enthalpy function of transversely isotropic piezoelectric materials
    • Schröder, J., Gross, D.: Invariant formulation of the electromechanical enthalpy function of transversely isotropic piezoelectric materials. Archive of Applied Mechanics 73, 533-552 (2004)
    • (2004) Archive of Applied Mechanics , vol.73 , pp. 533-552
    • Schröder, J.1    Gross, D.2
  • 35
    • 84857534338 scopus 로고    scopus 로고
    • A computational meso-macro transition procedure for electro-mechanical coupled ceramics
    • In: Schröder, J., Lupascu, D., Balzani, D. (eds.), Bad Honnef, Germany, May 7-10, Institut für Mechanik, Fakultät Ingenieurwissenschaften, Abteilung Bauwissenschaften, Universität Duisburg-Essen
    • Schröder, J., Romanowski, H., Kurzhöfer, I.: A computational meso-macro transition procedure for electro-mechanical coupled ceramics. In: Schröder, J., Lupascu, D., Balzani, D. (eds.) First Seminar on the Mechanics of Multifunctional Materials, Bad Honnef, Germany, May 7-10, Institut für Mechanik, Fakultät Ingenieurwissenschaften, Abteilung Bauwissenschaften, Universität Duisburg-Essen (2007)
    • (2007) First Seminar on the Mechanics of Multifunctional Materials
    • Schröder, J.1    Romanowski, H.2    Kurzhöfer, I.3
  • 38
    • 0032026085 scopus 로고    scopus 로고
    • Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling
    • Smit, R.J.M., Brekelmans, W.A.M., Meijer, H.E.H.: Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling. Computer Methods in Applied Mechanics and Engineering 155, 181-192 (1998)
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.155 , pp. 181-192
    • Smit, R.J.M.1    Brekelmans, W.A.M.2    Meijer, H.E.H.3
  • 41
    • 0035919604 scopus 로고    scopus 로고
    • A class of general algorithms formulti-scale analyses of heterogeneous media
    • Terada, K., Kikuchi, N.: A class of general algorithms formulti-scale analyses of heterogeneous media. Computer Methods in AppliedMechanics and Engineering 190(40-41), 5427-5464 (2001)
    • (2001) Computer Methods in AppliedMechanics and Engineering , vol.190 , Issue.40-41 , pp. 5427-5464
    • Terada, K.1    Kikuchi, N.2
  • 42
    • 0042125263 scopus 로고    scopus 로고
    • Two-scale kinematics and linearization for simultaneous two-scale analysis of periodic heterogeneous solids at finite strain
    • Terada, K., Saiki, I., Matsui, K., Yamakawa, Y.: Two-scale kinematics and linearization for simultaneous two-scale analysis of periodic heterogeneous solids at finite strain. Computer Methods in Applied Mechanics and Engineering 192(31-32), 3531-3563 (2003)
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , Issue.31-32 , pp. 3531-3563
    • Terada, K.1    Saiki, I.2    Matsui, K.3    Yamakawa, Y.4
  • 43
    • 42749084407 scopus 로고    scopus 로고
    • Optimization of crystal microstructure in piezoelectric ceramics by multiscale finite element analysis
    • Uetsuji, Y., Horio, M., Tsuchiya, K.: Optimization of crystal microstructure in piezoelectric ceramics by multiscale finite element analysis. Acta Materialia 56(9), 1991-2002 (2008)
    • (2008) Acta Materialia , vol.56 , Issue.9 , pp. 1991-2002
    • Uetsuji, Y.1    Horio, M.2    Tsuchiya, K.3
  • 44
    • 3142541026 scopus 로고    scopus 로고
    • Numerical investigation on ferroelectric properties of piezoelectric materials using a crystallographic homogenization method
    • Uetsuji, Y., Nakamura, Y., Ueda, S., Nakamachi, E.: Numerical investigation on ferroelectric properties of piezoelectric materials using a crystallographic homogenization method. Modelling and Simulation inMaterial Science and Engineering 12, S303-S317 (2004)
    • (2004) Modelling and Simulation inMaterial Science and Engineering , vol.12
    • Uetsuji, Y.1    Nakamura, Y.2    Ueda, S.3    Nakamachi, E.4
  • 45
    • 49949149864 scopus 로고
    • On bounds for the overall elastic moduli of inhomogeneous system
    • Walpole, L.J.: On bounds for the overall elastic moduli of inhomogeneous system. Journal of the Mechanics and Physics of Solids 14, 151-162 (1966)
    • (1966) Journal of the Mechanics and Physics of Solids , vol.14 , pp. 151-162
    • Walpole, L.J.1
  • 46
    • 0017502751 scopus 로고
    • Bounds and self-consistent estimates for the overall properties of anisotropic composites
    • Willis, J.R.: Bounds and self-consistent estimates for the overall properties of anisotropic composites. Journal of the Mechanics and Physics of Solids 25, 185-202 (1966)
    • (1966) Journal of the Mechanics and Physics of Solids , vol.25 , pp. 185-202
    • Willis, J.R.1
  • 47
    • 0037378261 scopus 로고    scopus 로고
    • A unified periodical boundary conditions for represantative colume elements of composites and applications
    • Xia, Z., Zhang, Y., Ellyin, F.: A unified periodical boundary conditions for represantative colume elements of composites and applications. International Journal of Solids and Structures 40, 1907-1921 (2003)
    • (2003) International Journal of Solids and Structures , vol.40 , pp. 1907-1921
    • Xia, Z.1    Zhang, Y.2    Ellyin, F.3
  • 50
    • 60949090313 scopus 로고    scopus 로고
    • On the computation of the coupled thermo-electromagnetic response of continua with particulate microstructure
    • Zohdi, T.: On the computation of the coupled thermo-electromagnetic response of continua with particulate microstructure. International Journal for Numerical Methods in Engineering 76(8), 1250-1279 (2008)
    • (2008) International Journal for Numerical Methods in Engineering , vol.76 , Issue.8 , pp. 1250-1279
    • Zohdi, T.1


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