Analytical description of the heat transfer in an asphalt beam : tested in the 4 point dynamic bending apparatus

The analytical solutions are given for the heat transfer due to an internal heat source for the temperature distribution in an infinite plate and in an infinite cylinder. The infinite cylinder and plate can be considered as a simulation for the inner section of an asphalt beam in a four point dynamic bending test. Due to the visco-elastic character of asphalt, energy will be dissipated into the material during the dynamic bending of the beam. A special function is given, which describes the time dependency of the internal heat source very well. Based on the presented results a simple spreadsheet program (QuattroPro) was written to calculate the temperature distribution.