## 1 Introduction
The main idea is to combine some experimental measurements, usually the temporal evolution of the heat-flow rate, with a numerical model of the composite sample. The correct values for the intrinsic parameters of the material are retrieved by minimizing an objective function. In summary, there exist several methods to determine either the transport properties (conductivity and thermal resistances) or the thermodynamical ones (heat capacity, latent heat). Nonetheless, it is still difficult to first determine them altogether and second, both the repeatability and the final uncertainties quantifications on the average mascroscopic values are very scarce [34; 36; 40; 45; 52]. In this respect, the deviation for the thermal conductivity and specific capacity can vary from 1 to 12% and from 5 to 66% respectively in [34]. Similarly, [36] conclude that determinations of the apparent capacity in the range 10.43-19.4%, and 1.8% for the thermal conductivity, are acceptable for engineering use. On the other hand, [40] obtain a precision of 8% for the equivalent capacity, while [52] show results whose discrepancies are between 10% and 30%. Added to this, [45] highlight uncertainties of 10% for the thermal conductivity. To shed light on this brief landscape, it is worth recalling that current standards for the determination of PCM enthalpy functions are of the order of 10% [66; 67]. Thus, the objective of the present work is to propose a non-intrusive extended method to characterize all the thermo-physical properties of a composite material composed of a cement mortar integrating a micro-encapsulated PCM. The intrinsic features are two-fold. First, all the required parameters are obtained altogether. Then, the needed parameters to perform simulations with dedicated tools (as EnergyPlus or Modelica for instance) are directly provided. Further, a painstaking and exhaustive analysis is carried out to study the scedasticity of the identified parameters. The goal is to prove the robustness and reliability of the method. Practically, the paper is organized as follows. The basic principle of the method is given in Section 2. In summary, it is composed of an experimental part followed by an identification one. The former one, whose protocole is defined in Section 2.1, involves a full sample of the composite material, i.e., at a real scale. This latter one is then thermally stimulated, at different heating and cooling rates, and it undergoes several cycles for each heat stress. The next step, detailed in Sections 2.2 and 2.3, relies on an inverse method, which uses a numerical modeling of the sample. The physical modeling is first presented, its specificity being to impose a thermodynamically consistent approach, and then the numerical method is detailed. Features of the inverse process are finally given. In plain language, it combines the experimental measurements and the numerical results to identify the various thermo-physical parameters. In practice, both the transport and thermodynamical properties of the composite mortar and the thermal contact resistances are determined. Eventually, the main results are given in Section 3. As mentioned thereinbefore, several cycles of complete melting and solidification at various rates are completed. A first mortar is analyzed in Section 3.1, considering first a single thermal stress and then all the temperature ramps that have been set to the material. Then, the same analysis is performed for all the mortars altogether. Meanwhile, the sedasticity of the results is also performed, which has not been done before to the authors' knowledge. Finally, the main conclusions are recalled in Section 4.