Continuum Modeling of Low Frequency Heat Conduction in Laminated Composites with Bonds

Two model analyses are constructed in order to determine the influence of bonding materials on the heat diffusion in otherwise bilaminated composites. The geometric arrangement of the composite with the bond is treated as a special type of trilaminated composite in which each of its major constituents is sandwiched between two bonding layers. In the first model, the recently developed continuum mixture theories of heat conduction in bilaminated composites [1] are extended to treat the trilaminated composite. Here details of the diffusion process in the major components and also in the bonding layers are derived. In the second model, the entire effect of the bonds is treated as a modifier to interfacial continuity conditions. In this model the details of the diffusion process in the bonding material are ignored. It is found that the results of both models correlate well with each others and also with some exact solutions especially for low frequency ranges.