Macroscopic modelling of heat transfer in composites with interfacial thermal barrier

Abstract Macroscopic modelling of heat transfer in composites in the presence of interfacial thermal resistance is determined from a description at the heterogeneity scale using a method of double-scale asymptotic developments. The analysis shows five different models. Their domains of validity are defined by the value of a dimensionless parameter. That permits the determination of the correct model for a given macroscopic boundary value problem. The models for a binary composite are shown to belong to two main types: one-temperature and two-temperature field models.

[1]  J. Auriault.  Effective macroscopic description for heat conduction in periodic composites , 1983 .

[2]  G. Allaire.  Homogénéisation et convergence à deux échelles. Application à un problème de convection diffusion , 1991 .

[3]  A. Bensoussan,et al.  Asymptotic analysis for periodic structures , 1979 .

[4]  E. Sanchez-Palencia.  Non-Homogeneous Media and Vibration Theory , 1980 .

[5]  G. Nguetseng,et al.  Asymptotic analysis for a stiff variational problem arising in mechanics , 1990 .

[6]  M. Taya,et al.  Effective thermal conductivity of composites with fibre-matrix debonding , 1991 .

[7]  D. Hasselman,et al.  Effective Thermal Conductivity of Composites with Interfacial Thermal Barrier Resistance , 1987 .

[8]  D. Hasselman,et al.  Effective Thermal Conductivity of Uniaxial Composite with Cylindrically Orthotropic Carbon Fibers and Interfacial Thermal Barrier , 1993 .

[9]  Y. Benveniste,et al.  Effective thermal conductivity of composites with a thermal contact resistance between the constituents: Nondilute case , 1987 .

[10]  Tungyang Chen,et al.  The effective thermal conductivity of composites reinforced by coated cylindrically orthotropic fibers , 1990 .

[11]  H. Deresiewicz,et al.  Thermal effects on wave propagation in liquid-filled porous media , 1973 .

[12]  J.-L. Auriault,et al.  Homogenization analysis of diffusion and adsorption macrotransport in porous media: macrotransport in the absence of advection , 1993 .

[13]  E. Aifantis,et al.  Heat extraction from hot dry rocks , 1980 .

[14]  M. Gurtin,et al.  On a theory of heat conduction involving two temperatures , 1968 .

[15]  D. Hasselman,et al.  Role of the Interfacial Thermal Barrier in the Effective Thermal Diffusivity/Conductivity of SiC-Fiber-Reinforced Reaction-Bonded Silicon Nitride , 1990 .

[16]  Rishi Raj,et al.  The effect of particle size on the thermal conductivity of ZnS/diamond composites , 1992 .

[17]  Jean-Louis Auriault,et al.  Heterogeneous medium. Is an equivalent macroscopic description possible , 1991 .

[18]  Y. Chiew,et al.  Effective conductivity of dispersions: The effect of resistance at the particle surfaces , 1987 .

[19]  H. Demiray.  A continuum theory of thermoelastic solids with diatomic structure , 1980 .