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Volumn 76, Issue 8, 2008, Pages 1250-1279

On the computation of the coupled thermo-electromagnetic response of continua with particulate microstructure

Author keywords

Effective electromagnetic properties; Particulates

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ELECTROMAGNETISM; QUALITY ASSURANCE; THREE DIMENSIONAL;

EID: 60949090313     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2369     Document Type: Article
Times cited : (38)

References (81)
  • 3
    • 0000544643 scopus 로고
    • On the influence of obstacles arranged in rectangular order upon properties of a medium
    • Rayleigh JW. On the influence of obstacles arranged in rectangular order upon properties of a medium. Philosophical Magazine 1892; 32:481-491.
    • (1892) Philosophical Magazine , vol.32 , pp. 481-491
    • Rayleigh, J.W.1
  • 4
    • 0000556103 scopus 로고
    • Über die Beziehung zwischen den beiden Elastizitätskonstanten isotroper Körper.
    • Voigt W. Über die Beziehung zwischen den beiden Elastizitätskonstanten isotroper Körper. Wiedemanns Annalen 1889; 38:573-587.
    • (1889) Wiedemanns Annalen , vol.38 , pp. 573-587
    • Voigt, W.1
  • 5
    • 84956078977 scopus 로고
    • Berechnung der Fliessgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle.
    • Reuss A. Berechnung der Fliessgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle. Zeitschrift für Angewandte Mathematik und Mechanik 1929; 9:49-58.
    • (1929) Zeitschrift für Angewandte Mathematik und Mechanik , vol.9 , pp. 49-58
    • Reuss, A.1
  • 7
    • 60949095943 scopus 로고    scopus 로고
    • Wiener O. Zur Theorie der Refraktionskonstanten. Berichte über die Verhandlungen der Königlich-Sächsischen Gesellschaft der Wissenshaften zu Leipzig. Mathematik-Physik Klasses, 62, 1910; 256-277.
    • Wiener O. Zur Theorie der Refraktionskonstanten. Berichte über die Verhandlungen der Königlich-Sächsischen Gesellschaft der Wissenshaften zu Leipzig. Mathematik-Physik Klasses, vol. 62, 1910; 256-277.
  • 8
    • 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 1962; 10:335-342.
    • (1962) Journal of the Mechanics and Physics of Solids , vol.10 , pp. 335-342
    • Hashin, Z.1    Shtrikman, S.2
  • 9
    • 0007544668 scopus 로고
    • A variational approach to the theory of the elastic behaviour of multiphase materials
    • Hashin Z, Shtrikman S. A variational approach to the theory of the elastic behaviour of multiphase materials. Journal of the Mechanics and Physics of Solids 1963; 11:127-140.
    • (1963) Journal of the Mechanics and Physics of Solids , vol.11 , pp. 127-140
    • Hashin, Z.1    Shtrikman, S.2
  • 10
    • 36849124660 scopus 로고
    • A variational approach to the theory of effective magnetic permeability of multiphase materials
    • Hashin Z, Shtrikman S. A variational approach to the theory of effective magnetic permeability of multiphase materials. Journal of Applied Physics 1962; 33(10):3125-3131.
    • (1962) Journal of Applied Physics , vol.33 , Issue.10 , pp. 3125-3131
    • Hashin, Z.1    Shtrikman, S.2
  • 11
    • 0020816026 scopus 로고
    • Analysis of composite materials: A survey
    • Hashin Z. Analysis of composite materials: a survey. Journal of Applied Mechanics (ASME) 1983; 50:481-505.
    • (1983) Journal of Applied Mechanics (ASME) , vol.50 , pp. 481-505
    • Hashin, Z.1
  • 12
    • 33747862408 scopus 로고
    • Random heterogeneous media: Microstructure and improved bounds on effective properties
    • Torquato S. Random heterogeneous media: microstructure and improved bounds on effective properties. Applied Mechanics Reviews 1991; 44:37-76.
    • (1991) Applied Mechanics Reviews , vol.44 , pp. 37-76
    • Torquato, S.1
  • 13
    • 0026840226 scopus 로고
    • Improved bounds on the effective elastic moduli of random arrays of cylinders
    • Torquato S, Lado F. Improved bounds on the effective elastic moduli of random arrays of cylinders. Journal of Applied Mechanics 1992; 59:1-6.
    • (1992) Journal of Applied Mechanics , vol.59 , pp. 1-6
    • Torquato, S.1    Lado, F.2
  • 14
    • 0031236313 scopus 로고    scopus 로고
    • Effective stiffness tensor of composite media. I. Exact series expansions
    • Torquato S. Effective stiffness tensor of composite media. I. Exact series expansions. Journal of the Mechanics and Physics of Solids 1997; 45:1421-1448.
    • (1997) Journal of the Mechanics and Physics of Solids , vol.45 , pp. 1421-1448
    • Torquato, S.1
  • 15
    • 0032137019 scopus 로고    scopus 로고
    • Effective stiffness tensor of composite media. II. Applications to isotropic dispersions
    • Torquato S. Effective stiffness tensor of composite media. II. Applications to isotropic dispersions. Journal of the Mechanics and Physics of Solids 1998; 46:1411-1440.
    • (1998) Journal of the Mechanics and Physics of Solids , vol.46 , pp. 1411-1440
    • Torquato, S.1
  • 22
    • 26344446981 scopus 로고
    • Statistical Continuum Mechanics
    • Springer: Berlin
    • Kröner E. Statistical Continuum Mechanics. CISM Lecture Notes, vol. 92. Springer: Berlin, 1972.
    • (1972) CISM Lecture Notes , vol.92
    • Kröner, E.1
  • 23
    • 0037051077 scopus 로고    scopus 로고
    • An adaptive-recursive staggering strategy for simulating multifield coupled processes in microheterogeneous solids
    • Zohdi TI. An adaptive-recursive staggering strategy for simulating multifield coupled processes in microheterogeneous solids. International Journal for Numerical Methods in Engineering 2002; 53:1511-1532.
    • (2002) International Journal for Numerical Methods in Engineering , vol.53 , pp. 1511-1532
    • Zohdi, T.I.1
  • 25
    • 0037667052 scopus 로고    scopus 로고
    • Zohdi TI. Genetic optimization of statistically uncertain microheterogeneous solids. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 2003; 361(1806):1021-1043.
    • Zohdi TI. Genetic optimization of statistically uncertain microheterogeneous solids. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 2003; 361(1806):1021-1043.
  • 26
    • 1542512384 scopus 로고    scopus 로고
    • Zohdi TI. On the compaction of cohesive hyperelastic granules at finite strains. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2003; 454(2034):1395-1401.
    • Zohdi TI. On the compaction of cohesive hyperelastic granules at finite strains. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2003; 454(2034):1395-1401.
  • 27
    • 0442281828 scopus 로고    scopus 로고
    • Modeling and simulation of a class of coupled thermo-chemo-mechanical processes in multiphase solids
    • Zohdi TI. Modeling and simulation of a class of coupled thermo-chemo-mechanical processes in multiphase solids. Computer Methods in Applied Mechanics and Engineering 2004; 193(6-8):679-699.
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.6-8 , pp. 679-699
    • Zohdi, T.I.1
  • 28
    • 7444235957 scopus 로고    scopus 로고
    • Modeling and direct simulation of near-field granular flows
    • Zohdi TI. Modeling and direct simulation of near-field granular flows. International Journal of Solids and Structures 2004; 42(2):539-564.
    • (2004) International Journal of Solids and Structures , vol.42 , Issue.2 , pp. 539-564
    • Zohdi, T.I.1
  • 29
    • 17144389331 scopus 로고    scopus 로고
    • A computational framework for agglomeration in thermo-chemically reacting granular flows
    • Zohdi TI. A computational framework for agglomeration in thermo-chemically reacting granular flows. Proceedings of the Royal Society of London, Series A 2004; 460:3421-3445.
    • (2004) Proceedings of the Royal Society of London, Series A , vol.460 , pp. 3421-3445
    • Zohdi, T.I.1
  • 31
    • 33745365263 scopus 로고    scopus 로고
    • Computation of the coupled thermo-optical scattering properties of random particulate systems
    • Available from
    • Zohdi TI. Computation of the coupled thermo-optical scattering properties of random particulate systems. Computer Methods in Applied Mechanics and Engineering 2006. Available from: http://www.sciencedirect.com/science/journal/00457825.
    • (2006) Computer Methods in Applied Mechanics and Engineering
    • Zohdi, T.I.1
  • 32
    • 33646345340 scopus 로고    scopus 로고
    • On the optical thickness of disordered particulate media
    • Zohdi TI. On the optical thickness of disordered particulate media. Mechanics of Materials 2006; 38:969-981.
    • (2006) Mechanics of Materials , vol.38 , pp. 969-981
    • Zohdi, T.I.1
  • 33
    • 33845413034 scopus 로고    scopus 로고
    • Modeling and rapid simulation of multiple red blood cell light scattering
    • Zohdi TI, Kuypers FA. Modeling and rapid simulation of multiple red blood cell light scattering. Journal of the Royal Society Interface 2006; 3(11):823-831.
    • (2006) Journal of the Royal Society Interface , vol.3 , Issue.11 , pp. 823-831
    • Zohdi, T.I.1    Kuypers, F.A.2
  • 35
    • 84894021661 scopus 로고
    • Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media
    • Yee K. Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Transactions on Antennas and Propagation 1966; 14:302.
    • (1966) IEEE Transactions on Antennas and Propagation , vol.14 , pp. 302
    • Yee, K.1
  • 40
    • 0021614990 scopus 로고
    • Coupled problems and their numerical solution
    • Lewis RW, Bettes P, Hinton E eds, Wiley: Chichester
    • Zienkiewicz OC. Coupled problems and their numerical solution. In Numerical Methods in Coupled Systems, Lewis RW, Bettes P, Hinton E (eds). Wiley: Chichester, 1984; 35-58.
    • (1984) Numerical Methods in Coupled Systems , pp. 35-58
    • Zienkiewicz, O.C.1
  • 42
    • 0022030238 scopus 로고
    • A partitioned solution procedure for geothermal reservoir analysis
    • Schrefler BA. A partitioned solution procedure for geothermal reservoir analysis. Communications in Applied Numerical Methods 1985; 1:53-56.
    • (1985) Communications in Applied Numerical Methods , vol.1 , pp. 53-56
    • Schrefler, B.A.1
  • 43
    • 60949098198 scopus 로고    scopus 로고
    • Tursa E, Schrefler BA. On consistency, stability and convergence of staggered solution procedures. Rend. Mat. acc. Lincei, Rome, S. 9 1994; 5:265-271.
    • Tursa E, Schrefler BA. On consistency, stability and convergence of staggered solution procedures. Rend. Mat. acc. Lincei, Rome, S. 9 1994; 5:265-271.
  • 45
    • 0008271874 scopus 로고
    • Coupled field problems-solution techniques for sequential and parallel processing
    • Papadrakakis MM ed
    • Doltsinis I St. Coupled field problems-solution techniques for sequential and parallel processing. In Solving Large-scale Problems in Mechanics, Papadrakakis MM (ed.), 1993.
    • (1993) Solving Large-scale Problems in Mechanics
    • St, D.I.1
  • 46
    • 0031352407 scopus 로고    scopus 로고
    • Solution of coupled systems by distinct operators
    • Doltsinis I St. Solution of coupled systems by distinct operators. Engineering Computations 1997; 14:829-868.
    • (1997) Engineering Computations , vol.14 , pp. 829-868
    • St, D.I.1
  • 47
    • 0031279787 scopus 로고    scopus 로고
    • Explicit/implicit fluid/structure staggered procedures with a structural predictor and fluid subcycling for 2D inviscid aeroelastic simulations
    • Piperno S. Explicit/implicit fluid/structure staggered procedures with a structural predictor and fluid subcycling for 2D inviscid aeroelastic simulations. International Journal for Numerical Methods in Fluids 1997; 25:1207-1226.
    • (1997) International Journal for Numerical Methods in Fluids , vol.25 , pp. 1207-1226
    • Piperno, S.1
  • 49
    • 0026916661 scopus 로고
    • A new unconditionally stable fractional step method for non-linear coupled thermomechanical problems
    • Armero F, Simo JC. A new unconditionally stable fractional step method for non-linear coupled thermomechanical problems. International Journal for Numerical Methods in Engineering 1992; 35:737-766.
    • (1992) International Journal for Numerical Methods in Engineering , vol.35 , pp. 737-766
    • Armero, F.1    Simo, J.C.2
  • 50
    • 0027187966 scopus 로고
    • A-priori stability estimates and unconditionally stable product formula algorithms for non-linear coupled thermoplasticity
    • Armero F, Simo JC. A-priori stability estimates and unconditionally stable product formula algorithms for non-linear coupled thermoplasticity. International Journal of Plasticity 1993; 9:149-182.
    • (1993) International Journal of Plasticity , vol.9 , pp. 149-182
    • Armero, F.1    Simo, J.C.2
  • 51
    • 0039492875 scopus 로고    scopus 로고
    • Formulation of a new class of fractional-step methods for the incompressible MHD equations that retains the long-term dissipativity of the continuum dynamical system
    • The Fields Institute Communications
    • Armero F, Simo JC. Formulation of a new class of fractional-step methods for the incompressible MHD equations that retains the long-term dissipativity of the continuum dynamical system. Integration Algorithms for Classical Mechanics. The Fields Institute Communications, vol. 10, 1996; 1-23.
    • (1996) Integration Algorithms for Classical Mechanics , vol.10 , pp. 1-23
    • Armero, F.1    Simo, J.C.2
  • 52
    • 0033115656 scopus 로고    scopus 로고
    • Formulation and finite element implementation of a multiplicative model of coupled poro-plasticity at finite strains under fully saturated conditions
    • Armero F. Formulation and finite element implementation of a multiplicative model of coupled poro-plasticity at finite strains under fully saturated conditions. Computer Methods in Applied Mechanics and Engineering 1999; 171:205-241.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.171 , pp. 205-241
    • Armero, F.1
  • 54
    • 0029310928 scopus 로고
    • Partitioned procedures for the transient solution of coupled aeroelastic problems - Part I: Model problem, theory, and two-dimensional application
    • Piperno S, Farhat C, Larrouturou B. Partitioned procedures for the transient solution of coupled aeroelastic problems - Part I: model problem, theory, and two-dimensional application. Computer Methods in Applied Mechanics and Engineering 1995; 124(1-2):79-112.
    • (1995) Computer Methods in Applied Mechanics and Engineering , vol.124 , Issue.1-2 , pp. 79-112
    • Piperno, S.1    Farhat, C.2    Larrouturou, B.3
  • 55
    • 0029138959 scopus 로고
    • Mixed explicit/implicit time integration of coupled aeroelastic problems: Three-field formulation, geometric conservation and distributed solution
    • Farhat C, Lesoinne M, Maman N. Mixed explicit/implicit time integration of coupled aeroelastic problems: three-field formulation, geometric conservation and distributed solution. International Journal for Numerical Methods in Fluids 1995; 21:807-835.
    • (1995) International Journal for Numerical Methods in Fluids , vol.21 , pp. 807-835
    • Farhat, C.1    Lesoinne, M.2    Maman, N.3
  • 56
    • 0001249695 scopus 로고    scopus 로고
    • Free staggered algorithm for nonlinear transient aeroelastic problems
    • Lesoinne M, Farhat C. Free staggered algorithm for nonlinear transient aeroelastic problems. AIAA Journal 1998; 36(9):1754-1756.
    • (1998) AIAA Journal , vol.36 , Issue.9 , pp. 1754-1756
    • Lesoinne, M.1    Farhat, C.2
  • 57
    • 0034140207 scopus 로고    scopus 로고
    • Two efficient staggered procedures for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems
    • Farhat C, Lesoinne M. Two efficient staggered procedures for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems. Computer Methods in Applied Mechanics and Engineering 2000; 182:499-516.
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.182 , pp. 499-516
    • Farhat, C.1    Lesoinne, M.2
  • 58
    • 32044458550 scopus 로고    scopus 로고
    • Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity
    • Farhat C, van der Zee G, Geuzaine P. Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity. Computer Methods in Applied Mechanics and Engineering 2006; 195:1973-2001.
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , pp. 1973-2001
    • Farhat, C.1    van der Zee, G.2    Geuzaine, P.3
  • 61
    • 0035918037 scopus 로고    scopus 로고
    • Aspects of the computational testing of the mechanical properties of microheterogeneous material samples
    • Zohdi TI, Wriggers P. Aspects of the computational testing of the mechanical properties of microheterogeneous material samples. International Journal for Numerical Methods in Engineering 2001; 50:2573-2599.
    • (2001) International Journal for Numerical Methods in Engineering , vol.50 , pp. 2573-2599
    • Zohdi, T.I.1    Wriggers, P.2
  • 62
    • 0039823454 scopus 로고
    • Random sequential addition of hard spheres to a volume
    • Widom B. Random sequential addition of hard spheres to a volume. Journal of Chemical Physics 1966; 44:3888-3894.
    • (1966) Journal of Chemical Physics , vol.44 , pp. 3888-3894
    • Widom, B.1
  • 63
    • 41349083509 scopus 로고    scopus 로고
    • Diversity of order and densities in jammed hard-particle packings
    • Kansaal A, Torquato S, Stillinger F. Diversity of order and densities in jammed hard-particle packings. Physical Review E 2002; 66:041109.
    • (2002) Physical Review E , vol.66 , pp. 041109
    • Kansaal, A.1    Torquato, S.2    Stillinger, F.3
  • 65
    • 10244220980 scopus 로고    scopus 로고
    • Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles - I. Algorithmic details
    • Donev A, Torquato S, Stillinger F. Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles - I. Algorithmic details. Journal of Computational Physics 2005; 202:737.
    • (2005) Journal of Computational Physics , vol.202 , pp. 737
    • Donev, A.1    Torquato, S.2    Stillinger, F.3
  • 66
    • 10244259129 scopus 로고    scopus 로고
    • Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles - II. Application to ellipses and ellipsoids
    • Donev A, Torquato S, Stillinger F. Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles - II. Application to ellipses and ellipsoids. Journal of Computational Physics 2005; 202:765.
    • (2005) Journal of Computational Physics , vol.202 , pp. 765
    • Donev, A.1    Torquato, S.2    Stillinger, F.3
  • 67
    • 0001934821 scopus 로고
    • Liquid state processing
    • Suresh S, Mortensen A, Needleman A eds
    • Michaud V. Liquid state processing. In Fundamentals of Metal Matrix Composites, Suresh S, Mortensen A, Needleman A (eds), 1992.
    • (1992) Fundamentals of Metal Matrix Composites
    • Michaud, V.1
  • 70
    • 0035604941 scopus 로고    scopus 로고
    • Large scale structural optimization: Computational methods and optimization algorithms. Archives of Computational Methods in Engineering
    • Papadrakakis M, Lagaros N, Tsompanakis Y, Plevris V. Large scale structural optimization: computational methods and optimization algorithms. Archives of Computational Methods in Engineering, State of the Art Reviews 2001; 8(3):239-301.
    • (2001) State of the Art Reviews , vol.8 , Issue.3 , pp. 239-301
    • Papadrakakis, M.1    Lagaros, N.2    Tsompanakis, Y.3    Plevris, V.4


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