Thermal Conduction in Composites

  • G. W. Milton
  • K. Golden


We consider the effective thermal conductivity of two-component isotropic composites and review bounds obtained through analytic continuation of the effective conductivity as a function of the component conductivities. The connection between this conductivity function and Stieltjes functions is emphasized. Many of the well-known bounds on the effective thermal conductivity correspond to bounds on Stieltjes functions and these bounds, in turn, are closely related to Padé approximants.


Effective Conductivity Effective Elastic Modulus Conductivity Function Effective Dielectric Constant Complex Dielectric Constant 
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Copyright information

© Purdue Research Foundation 1985

Authors and Affiliations

  • G. W. Milton
    • 1
  • K. Golden
    • 2
  1. 1.Baker LaboratoriesCornell UniversityIthacaUSA
  2. 2.Courant InstituteNew York UniversityNew YorkUSA

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