Identification of thermal conductivity coefficient and volumetric heat capacity of functionally graded materials

Functionally graded materials are being widely implemented in many fields of technology. In the paper we present an approach to solving an inverse problem on a simultaneous identification of thermal conductivity coefficient and volumetric heat capacity of functionally graded materials. As an input data we use measurements of temperature and heat flux at body's boundary. The inverse problem solving is reduced to an iterative procedure when each iteration provided solving of the system of Fredholm's integral equations of the first kind. As an example, the problem for a rod is considered. The direct problem is solved by means of the Galerkin method. Examples of simultaneous reconstruction of different inhomogeneous laws of thermalphysic characteristics are presented.