The heat ow across a metal/polymer interface is a very important problem in many modern engineering applications. A thermal joint conductance model that employs the surface mechanics of a contact interface in conjunction with an existing elastic thermal contact conductance model was developed. In developing the model, an elastic contact hardness term was derived to predict the actual contact area of a metal/polymer interface under loading. The model predicts a microscopic resistance region where the interface resistance is dominant and a bulk resistance region where the thermal conductivity of the polymer is dominant. An experimental apparatus was fabricated, and a successful experimental program was conducted. New experimental data were gathered on different polymeric specimens over a pressure range of 138-2758 kPa (20-400 psi). The experimental data were compared to the proposed thermal joint conductance model. It was found that the proposed model predicted the data quite well. The data followed the predicted trends for both the microscopic and bulk resistance regions.
Nomenclature
A a= apparent area of contact, m 2 A r = real area of contact, m 2 a c = contact radius, m a 0 = Hertzian contact radius, m c = half-width of plane contact area, melastic modulus of polymer, Pa E s = elastic modulus of substrate, Pa H c = contact microhardness, Pa H e = Mikic elastic hardness (E 0 = p 2)£ m, Pa H ep = polymer elastic hardness, Pa h bulk = thermal bulk conductance, W/m 2 K h c = thermal contact conductance, W/m 2 K h e = dimensionless elastic conductance h j = thermal joint conductance, W/m 2 K h j exp = experimentally calculated joint conductance, W/m 2 K h micro = thermal microscopic conductance, W/m 2 K J .t / = creep compliance k ux = thermal conductivity of ux meter, W/m K k p = thermal conductivity of polymer, W/m K k s = harmonic mean thermal conductivity, W/m K L = load, N m ab = mean absolute asperity slope, rad n = number of contact spots per unit area of apparent contact, m ¡2 P = apparent pressure, Pa P=H c = dimensionless plastic contact pressure P=H e = dimensionless elastic contact pressure P m = mean pressure at interface, Pa Q = heat rate, W q = heat ux through ux meter, W/m 2 R b = bulk thermal resistance, K/W R g;1 = gap resistance at interface 1, K/W R g;2 = gap resistance at interface 2, K/W R j = joint resistance, K/W R micro = microscopic thermal resistance, K/W R t;c = contact resistance, K/W R 1 = thermal resistance for upper interface, K/W R 2 = thermal resistance for lower interface, K/W T c = temperature of specimen, K T sl = temperature of lower interface of specimen, K T su = temperature of upper interface of specimen, K T 1 = temperature at surface 1, K T 2 = temperature at surface 2, K t = elastic layer (polymer) thickness, m t f = polymer thickness after loading, m t 0 = polymer thickness before loading, m t ¤ = critical polymer thickness, m Y = separation distance between contacting surfaces, m Y .t / = relaxation modulus " p = strain on polymer in the vertical directioņ = dimensionle...