I'm not sure I'm following you. If you are talking about an engineering application then do you mean you want to relate the rate of heat transfer through a structure (a fin, for example) while the heat transfer itself is significant enough to cause changes to the structure itself? If so, I can think of basic examples, such as the arms of a heat dissipative device shortening as it cools and therefore losing surface area. A problem like this is pretty straightforward, but this is never an issue since fins are not designed to chock heat flow and therefore the structural changes would have a negligible effect. A better example might be found in some grad texts on hot rolling and other common metalworking.
I may be misunderstanding you. If you are talking about how products formed in, let's say combustion, affect the heat transfer based on their chemical structure, or some other micro level question, please disregard.