Modeling of Heat Transfer and Self-Heating Phenomenon In Materials With High Dissipation

In engineering mechanics, the properties of many materials are significantly dependent on temperature thus emphasizing the importance of the consideration of heat generation due to the influence of mechanical vibrations. Such considerations will lead to the development of a model predicting the point of catastrophic thermal failure, known as heat explosion, through the development of a model considering the loss of energy by means of internally generated heat and the transfer of such heat through implementation of the Fourier Law of Cooling. The Maxwell-Cattaneo model of heat transfer is applied. This allows for the investigation of a more realistic heat transfer equation. Finally, the model will be discretized, and solutions will be compared.