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Volumn 198, Issue 5-8, 2009, Pages 727-739

Sensitivity of the macroscopic thermal conductivity tensor to topological microstructural changes

Author keywords

Heat conductivity tensor; Multi scale modelling; Sensitivity analysis; Topological derivative

Indexed keywords

HEAT CONDUCTION; REAL TIME SYSTEMS; SEISMIC DESIGN; TENSORS; THERMAL CONDUCTIVITY; TOPOLOGY; VOLUME MEASUREMENT;

EID: 58149151207     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2008.10.005     Document Type: Article
Times cited : (16)

References (55)
  • 2
    • 0020763693 scopus 로고
    • Effective macroscopic description for heat conduction in periodic composites
    • Auriault J.L. Effective macroscopic description for heat conduction in periodic composites. Int. J. Heat Mass Transfer 26 6 (1983) 861-869
    • (1983) Int. J. Heat Mass Transfer , vol.26 , Issue.6 , pp. 861-869
    • Auriault, J.L.1
  • 3
    • 0027623424 scopus 로고
    • Double conductivity media: a comparison between phenomenological and homogenization approaches
    • Auriault J.L., and Royer P. Double conductivity media: a comparison between phenomenological and homogenization approaches. Int. J. Heat Mass Transfer 36 10 (1993) 2613-2621
    • (1993) Int. J. Heat Mass Transfer , vol.36 , Issue.10 , pp. 2613-2621
    • Auriault, J.L.1    Royer, P.2
  • 4
    • 0001395510 scopus 로고    scopus 로고
    • Bounding of effective thermal conductivities of multiscale materials by essential and natural boundary conditions
    • Ostoja-Starzewski M., and Schulte J. Bounding of effective thermal conductivities of multiscale materials by essential and natural boundary conditions. Phys. Rev. B 54 1 (1996) 278-285
    • (1996) Phys. Rev. B , vol.54 , Issue.1 , pp. 278-285
    • Ostoja-Starzewski, M.1    Schulte, J.2
  • 5
    • 26244460954 scopus 로고    scopus 로고
    • Effective thermal conductivity of two-phase functionally graded particulate composites
    • (Art. no. 063704)
    • Yin H.M., Paulino G.H., Buttlar W.G., and Sun L.Z. Effective thermal conductivity of two-phase functionally graded particulate composites. J. Appl. Phys. 98 6 (2005) (Art. no. 063704)
    • (2005) J. Appl. Phys. , vol.98 , Issue.6
    • Yin, H.M.1    Paulino, G.H.2    Buttlar, W.G.3    Sun, L.Z.4
  • 6
    • 33745143203 scopus 로고    scopus 로고
    • A new approach to modelling the effective thermal conductivity of heterogeneous materials
    • Wang J., Carson J.K., North M.F., and Cleland D.J. A new approach to modelling the effective thermal conductivity of heterogeneous materials. Int. J. Heat Mass Transfer 49 17-18 (2006) 3075-3083
    • (2006) Int. J. Heat Mass Transfer , vol.49 , Issue.17-18 , pp. 3075-3083
    • Wang, J.1    Carson, J.K.2    North, M.F.3    Cleland, D.J.4
  • 7
    • 33846680916 scopus 로고    scopus 로고
    • Effective thermal conductivity of heterogeneous multi-component materials: an SPH implementation
    • Jiang F., and Sousa A.C.M. Effective thermal conductivity of heterogeneous multi-component materials: an SPH implementation. Heat Mass Transfer 43 5 (2007) 479-491
    • (2007) Heat Mass Transfer , vol.43 , Issue.5 , pp. 479-491
    • Jiang, F.1    Sousa, A.C.M.2
  • 9
    • 0032681559 scopus 로고    scopus 로고
    • On the topological derivatives in shape optimization
    • Sokołowski J., and Zochowski A. On the topological derivatives in shape optimization. SIAM J. Contr. Optim. 37 4 (1999) 1251-1272
    • (1999) SIAM J. Contr. Optim. , vol.37 , Issue.4 , pp. 1251-1272
    • Sokołowski, J.1    Zochowski, A.2
  • 10
    • 33744911745 scopus 로고    scopus 로고
    • Topological sensitivity for 3D elastodynamic and acoustic inverse scattering in the time domain
    • Bonnet M. Topological sensitivity for 3D elastodynamic and acoustic inverse scattering in the time domain. Comput. Methods Appl. Mech. Engrg. 195 (2006) 5239-5254
    • (2006) Comput. Methods Appl. Mech. Engrg. , vol.195 , pp. 5239-5254
    • Bonnet, M.1
  • 12
    • 0035665129 scopus 로고    scopus 로고
    • The topological asymptotic for PDE systems: the elasticity case
    • Garreau S., Guillaume Ph., and Masmoudi M. The topological asymptotic for PDE systems: the elasticity case. SIAM J. Contr. Optim. 39 (2001) 1756-1778
    • (2001) SIAM J. Contr. Optim. , vol.39 , pp. 1756-1778
    • Garreau, S.1    Guillaume, Ph.2    Masmoudi, M.3
  • 13
    • 33749026089 scopus 로고    scopus 로고
    • Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics
    • Guzina B.B., and Bonnet M. Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics. Inverse Probl. 22 (2006) 1761-1785
    • (2006) Inverse Probl. , vol.22 , pp. 1761-1785
    • Guzina, B.B.1    Bonnet, M.2
  • 14
    • 33845230843 scopus 로고    scopus 로고
    • From imaging to material characterization: a generalized concept of topological sensitivity
    • Guzina B.B., and Chikichev I. From imaging to material characterization: a generalized concept of topological sensitivity. J. Mech. Phys. Solids 55 (2007) 245-279
    • (2007) J. Mech. Phys. Solids , vol.55 , pp. 245-279
    • Guzina, B.B.1    Chikichev, I.2
  • 15
    • 0037378311 scopus 로고    scopus 로고
    • Energy change due to the appearance of cavities in elastic solids
    • Lewinski T., and Sokołowski J. Energy change due to the appearance of cavities in elastic solids. Int. J. Solids Struct. 40 (2003) 1765-1803
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 1765-1803
    • Lewinski, T.1    Sokołowski, J.2
  • 16
    • 25844477928 scopus 로고    scopus 로고
    • Topological sensitivity analysis applied to topology design of Kirchhoff's plate bending problem
    • Novotny A.A., Feijóo R.A., Padra C., and Taroco E. Topological sensitivity analysis applied to topology design of Kirchhoff's plate bending problem. Contr. Cyb. 34 1 (2005) 339-361
    • (2005) Contr. Cyb. , vol.34 , Issue.1 , pp. 339-361
    • Novotny, A.A.1    Feijóo, R.A.2    Padra, C.3    Taroco, E.4
  • 17
    • 0003221647 scopus 로고
    • Elements of homogenization for inelastic solid mechanics
    • Homogenization Techniques for Composite Media. Sanchez-Palencia E., and Zaoui A. (Eds), Springer-Verlag, Berlin
    • Suquet P.M. Elements of homogenization for inelastic solid mechanics. In: Sanchez-Palencia E., and Zaoui A. (Eds). Homogenization Techniques for Composite Media. Lecture Notes in Physics vol. 272 (1987), Springer-Verlag, Berlin 193-278
    • (1987) Lecture Notes in Physics , vol.272 , pp. 193-278
    • Suquet, P.M.1
  • 18
    • 0000516443 scopus 로고    scopus 로고
    • Computational micro-macro transitions and overall moduli in the analysis of polycrystals at large strains
    • Miehe C., Schotte J., and Schröder J. Computational micro-macro transitions and overall moduli in the analysis of polycrystals at large strains. Comput. Mater. Sci. 16 (1999) 372-382
    • (1999) Comput. Mater. Sci. , vol.16 , pp. 372-382
    • Miehe, C.1    Schotte, J.2    Schröder, J.3
  • 19
    • 0032686773 scopus 로고    scopus 로고
    • Effective properties of composite materials with periodic microstructure: a computational approach
    • Michel J.C., Moulinec H., and Suquet P. Effective properties of composite materials with periodic microstructure: a computational approach. Comput. Methods Appl. Mech. Engrg. 172 (1999) 109-143
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.172 , pp. 109-143
    • Michel, J.C.1    Moulinec, H.2    Suquet, P.3
  • 20
    • 58149168228 scopus 로고    scopus 로고
    • E.A. de Souza Neto, R.A. Feijóo, Variational foundations of multi-scale constitutive models of solid: small and large strain kinematical formulation, LNCC Research & Development Report, No. 16/2006, National Laboratory for Scientific Computing, Brazil, 2006.
    • E.A. de Souza Neto, R.A. Feijóo, Variational foundations of multi-scale constitutive models of solid: small and large strain kinematical formulation, LNCC Research & Development Report, No. 16/2006, National Laboratory for Scientific Computing, Brazil, 2006.
  • 21
    • 11644304284 scopus 로고
    • A self-consistent mechanics of composite materials
    • Hill R. A self-consistent mechanics of composite materials. J. Mech. Phys. Solids 13 4 (1965) 213-222
    • (1965) J. Mech. Phys. Solids , vol.13 , Issue.4 , pp. 213-222
    • Hill, R.1
  • 22
    • 58149166099 scopus 로고    scopus 로고
    • J. Mandel, Plasticité Classique et Viscoplasticité, CISM Lecture Notes, Udine, Italy, Springer-Verlag, 1971.
    • J. Mandel, Plasticité Classique et Viscoplasticité, CISM Lecture Notes, Udine, Italy, Springer-Verlag, 1971.
  • 23
    • 58149168225 scopus 로고    scopus 로고
    • S.M. Giusti, A.A. Novotny, E.A. de Souza Neto, R.A. Feijóo, Variational formulation for multi-scale constitutive models in steady-state heat conduction problem on rigid solids, in: Proceedings of 19th International Congress of Mechanical Engineering, Brazil, 2007.
    • S.M. Giusti, A.A. Novotny, E.A. de Souza Neto, R.A. Feijóo, Variational formulation for multi-scale constitutive models in steady-state heat conduction problem on rigid solids, in: Proceedings of 19th International Congress of Mechanical Engineering, Brazil, 2007.
  • 24
    • 33748482208 scopus 로고    scopus 로고
    • Sensitivity analysis with respect to a local perturbation of the material property
    • Amstutz S. Sensitivity analysis with respect to a local perturbation of the material property. Asymptotic Anal. 49 1-2 (2006) 87-108
    • (2006) Asymptotic Anal. , vol.49 , Issue.1-2 , pp. 87-108
    • Amstutz, S.1
  • 25
    • 0037312236 scopus 로고    scopus 로고
    • Asymptotic analysis of shape functionals
    • Nazarov S.A., and Sokołowski J. Asymptotic analysis of shape functionals. J. Math. Pure Appl. 82 2 (2003) 125-196
    • (2003) J. Math. Pure Appl. , vol.82 , Issue.2 , pp. 125-196
    • Nazarov, S.A.1    Sokołowski, J.2
  • 26
    • 58149171281 scopus 로고    scopus 로고
    • F. Murat, J. Simon, Sur le Contrôle par un Domaine Géométrique. Thesis, Université Pierre et Marie Curie, Paris VI, France, 1976.
    • F. Murat, J. Simon, Sur le Contrôle par un Domaine Géométrique. Thesis, Université Pierre et Marie Curie, Paris VI, France, 1976.
  • 28
    • 0042928461 scopus 로고    scopus 로고
    • The topological asymptotic expansion for the Dirichlet problem
    • Guillaume P., and Sid Idris K. The topological asymptotic expansion for the Dirichlet problem. SIAM J. Contr. Optim. 41 4 (2002) 1042-1072
    • (2002) SIAM J. Contr. Optim. , vol.41 , Issue.4 , pp. 1042-1072
    • Guillaume, P.1    Sid Idris, K.2
  • 29
    • 0035415671 scopus 로고    scopus 로고
    • Topological derivatives of shape functionals for elasticity systems
    • Sokolowski J., and Zochowski A. Topological derivatives of shape functionals for elasticity systems. Mech. Struct. Mach. 29 (2001) 333-351
    • (2001) Mech. Struct. Mach. , vol.29 , pp. 333-351
    • Sokolowski, J.1    Zochowski, A.2
  • 31
    • 3843081807 scopus 로고    scopus 로고
    • The topological derivative of the Dirichlet integral due to formation of a thin ligament
    • Nazarov S.A., and Sokołowski J. The topological derivative of the Dirichlet integral due to formation of a thin ligament. Siberian Math. J. 45 2 (2004) 341-355
    • (2004) Siberian Math. J. , vol.45 , Issue.2 , pp. 341-355
    • Nazarov, S.A.1    Sokołowski, J.2
  • 32
    • 4944259639 scopus 로고    scopus 로고
    • The topological asymptotic for the Helmholtz equation
    • Samet B., Amstutz S., and Masmoudi M. The topological asymptotic for the Helmholtz equation. SIAM J. Contr. Optim. 42 5 (2003) 1523-1544
    • (2003) SIAM J. Contr. Optim. , vol.42 , Issue.5 , pp. 1523-1544
    • Samet, B.1    Amstutz, S.2    Masmoudi, M.3
  • 33
    • 3242693022 scopus 로고    scopus 로고
    • Optimality conditions for simultaneous topology and shape optimization
    • Sokołowski J., and Zochowski A. Optimality conditions for simultaneous topology and shape optimization. SIAM J. Contr. Optim. 42 4 (2003) 1198-1221
    • (2003) SIAM J. Contr. Optim. , vol.42 , Issue.4 , pp. 1198-1221
    • Sokołowski, J.1    Zochowski, A.2
  • 34
    • 14244260727 scopus 로고    scopus 로고
    • Topological sensitivity and shape optimization for the stokes equations
    • Guillaume P., and Sid Idris K. Topological sensitivity and shape optimization for the stokes equations. SIAM J. Contr. Optim. 43 1 (2004) 1-31
    • (2004) SIAM J. Contr. Optim. , vol.43 , Issue.1 , pp. 1-31
    • Guillaume, P.1    Sid Idris, K.2
  • 35
    • 0842312288 scopus 로고    scopus 로고
    • Incorporating topological derivatives into level set methods
    • Burger M., Hackl B., and Ring W. Incorporating topological derivatives into level set methods. J. Comput. Phys. 1 194 (2004) 344-362
    • (2004) J. Comput. Phys. , vol.1 , Issue.194 , pp. 344-362
    • Burger, M.1    Hackl, B.2    Ring, W.3
  • 36
    • 10844274795 scopus 로고    scopus 로고
    • A new method in inverse scattering based on the topological derivative
    • Feijóo G.R. A new method in inverse scattering based on the topological derivative. Inverse Probl. 20 6 (2004) 1819-1840
    • (2004) Inverse Probl. , vol.20 , Issue.6 , pp. 1819-1840
    • Feijóo, G.R.1
  • 37
    • 30944440921 scopus 로고    scopus 로고
    • The topological asymptotic for the Navier-Stokes equations
    • Amstutz S. The topological asymptotic for the Navier-Stokes equations. ESAIM: Contr., Optim. Calc. Var. 11 3 (2005) 401-425
    • (2005) ESAIM: Contr., Optim. Calc. Var. , vol.11 , Issue.3 , pp. 401-425
    • Amstutz, S.1
  • 38
    • 25844433396 scopus 로고    scopus 로고
    • Crack detection by the topological gradient method
    • Amstutz S., Horchani I., and Masmoudi M. Crack detection by the topological gradient method. Contr. Cyb. 34 1 (2005) 81-101
    • (2005) Contr. Cyb. , vol.34 , Issue.1 , pp. 81-101
    • Amstutz, S.1    Horchani, I.2    Masmoudi, M.3
  • 39
    • 27844579173 scopus 로고    scopus 로고
    • Modelling of topological derivatives for contact problems
    • Sokołowski J., and Zochowski A. Modelling of topological derivatives for contact problems. Numer. Math. 102 (2005) 14-179
    • (2005) Numer. Math. , vol.102 , pp. 14-179
    • Sokołowski, J.1    Zochowski, A.2
  • 40
    • 25844488964 scopus 로고    scopus 로고
    • Fast level set based algorithms using shape and topological sensitivity
    • Hintermüller M. Fast level set based algorithms using shape and topological sensitivity. Contr. Cyb. 34 1 (2005) 305-324
    • (2005) Contr. Cyb. , vol.34 , Issue.1 , pp. 305-324
    • Hintermüller, M.1
  • 41
    • 17444421198 scopus 로고    scopus 로고
    • The topological asymptotic expansion for the Maxwell equations and some applications
    • Masmoudi M., Pommier J., and Samet B. The topological asymptotic expansion for the Maxwell equations and some applications. Inverse Probl. 21 (2005) 547-564
    • (2005) Inverse Probl. , vol.21 , pp. 547-564
    • Masmoudi, M.1    Pommier, J.2    Samet, B.3
  • 42
    • 33646921203 scopus 로고    scopus 로고
    • A new algorithm for topology optimization using a level-set method
    • Amstutz S., and Andrä H. A new algorithm for topology optimization using a level-set method. J. Comput. Phys. 216 2 (2006) 573-588
    • (2006) J. Comput. Phys. , vol.216 , Issue.2 , pp. 573-588
    • Amstutz, S.1    Andrä, H.2
  • 43
    • 58149157356 scopus 로고    scopus 로고
    • D. Auroux, M. Masmoudi, L. Belaid, Image restoration and classification by topological asymptotic expansion, Variational Formulations in Mechanics: Theory and Applications - CIMNE, Barcelona, Spain, 2006.
    • D. Auroux, M. Masmoudi, L. Belaid, Image restoration and classification by topological asymptotic expansion, Variational Formulations in Mechanics: Theory and Applications - CIMNE, Barcelona, Spain, 2006.
  • 44
    • 53249108049 scopus 로고    scopus 로고
    • Topological sensitivity analysis of inclusion in two-dimensional linear elasticity
    • Giusti S.M., Novotny A.A., and Padra C. Topological sensitivity analysis of inclusion in two-dimensional linear elasticity. Engrg. Anal. Bound. Elem. 32 11 (2008) 926-935
    • (2008) Engrg. Anal. Bound. Elem. , vol.32 , Issue.11 , pp. 926-935
    • Giusti, S.M.1    Novotny, A.A.2    Padra, C.3
  • 45
    • 34547626784 scopus 로고    scopus 로고
    • Topological sensitivity analysis for three-dimensional linear elasticity problem
    • Novotny A.A., Feijóo R.A., Taroco E., and Padra C. Topological sensitivity analysis for three-dimensional linear elasticity problem. Comput. Methods Appl. Mech. Engrg. 196 41-44 (2007) 4354-4364
    • (2007) Comput. Methods Appl. Mech. Engrg. , vol.196 , Issue.41-44 , pp. 4354-4364
    • Novotny, A.A.1    Feijóo, R.A.2    Taroco, E.3    Padra, C.4
  • 46
    • 53249100827 scopus 로고    scopus 로고
    • Application of the topological gradient to image restoration and edge detection
    • Belaid L.J., Jaoua M., Masmoudi M., and Siala L. Application of the topological gradient to image restoration and edge detection. Engrg. Anal. Bound. Elem. 32 11 (2008) 891-899
    • (2008) Engrg. Anal. Bound. Elem. , vol.32 , Issue.11 , pp. 891-899
    • Belaid, L.J.1    Jaoua, M.2    Masmoudi, M.3    Siala, L.4
  • 47
    • 42949165027 scopus 로고    scopus 로고
    • Topological derivative: a tool for image processing
    • Larrabide I., Feijóo R.A., Novotny A.A., and Taroco E. Topological derivative: a tool for image processing. Comput. Struct. 86 13-14 (2008) 1386-1403
    • (2008) Comput. Struct. , vol.86 , Issue.13-14 , pp. 1386-1403
    • Larrabide, I.1    Feijóo, R.A.2    Novotny, A.A.3    Taroco, E.4
  • 49
  • 51
    • 0002914251 scopus 로고    scopus 로고
    • Configurational Forces as Basic Concept of Continuum Physics
    • Springer-Verlag
    • Gurtin M.E. Configurational Forces as Basic Concept of Continuum Physics. Applied Mathematical Sciences vol. 137 (2000), Springer-Verlag
    • (2000) Applied Mathematical Sciences , vol.137
    • Gurtin, M.E.1
  • 52
    • 0016576296 scopus 로고
    • The elastic energy-momentum tensor
    • Eshelby J.D. The elastic energy-momentum tensor. J. Elast. 5 (1975) 321-335
    • (1975) J. Elast. , vol.5 , pp. 321-335
    • Eshelby, J.D.1
  • 53
    • 18144380854 scopus 로고    scopus 로고
    • Reconstruction of Small Inhomogeneities from Boundary Measurements
    • Springer
    • Ammari H., and Kang H. Reconstruction of Small Inhomogeneities from Boundary Measurements. Lectures Notes in Mathematics vol. 1846 (2000), Springer
    • (2000) Lectures Notes in Mathematics , vol.1846
    • Ammari, H.1    Kang, H.2
  • 54
    • 0000932785 scopus 로고    scopus 로고
    • Identification of conductivity imperfections of small diameter by boundary measurements, continuous dependence and computational reconstruction
    • Cedio-Fengya D.J., Moskow S., and S Vogelius M. Identification of conductivity imperfections of small diameter by boundary measurements, continuous dependence and computational reconstruction. Inverse Probl. 14 (1998) 553-595
    • (1998) Inverse Probl. , vol.14 , pp. 553-595
    • Cedio-Fengya, D.J.1    Moskow, S.2    S Vogelius, M.3


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