#### Modeling of active thermography through uncertainty quantification of parameters of the heat transfer equation

###### Autor: Arturo Ortiz Tapia

###### Coautor(es): Dr. Martin A. Diaz-Viera; Dr. Rumen Tsonchev; Dr. Marlen Hernandez Ortiz

###### Active thermography is an experimental technique used to analyze samples of
materials or entire structures without destroying them, by means of a heat source, such as a laser beam of a given
power. It is posed that such experimental procedure can be modeled mathematically through the complete
equation of heat transfer. The uncertainty on the assumption of the value of the parameter emissivity of this
equation is to be analyzed calculating the error between concrete experimental data and simulations where such
parameter has been taken from the uniform distribution. To the extent of this research, no previous attempt
has been made for using the complete equation of heat transfer (without simplifications or linearizations),
neither the usage of uncertainty quantification for the specific experimental results to which the
mathematical theory was applied.