Thermal wave scattering by a cylindrical subsurface inclusion in semi-infinite slab. (5th May 2016) - Ma, Xiao-Bo
Highlights: Based on non-Fourier's law. Using the complex function method. Three surfaces of the material are considered as the boundary conditions. Effects of the lateral dimension of the material on the temperature are investigated. Non-destructive evaluation for the slab materials. Abstract: In this paper, based on the hyperbolic equation of heat conduction, using the image method, the wave function expansion method and the complex function method, a general solution of the scattered field of thermal waves from the cylindrical subsurface inclusion in the semi-infinite slab was obtained. The matrix formulation to solve the mode coefficients of thermal waves was employed. The frontal surface temperature of the slab under different geometrical and physical parameters was analyzed and illustrated graphically. In addition, the thermal wave was excited by the modulated ultra-short laser at the frontal surface of the slab. The results of the paper are expected to provide data references and calculation methods for the physical inverse problem and non-destructive evaluation of subsurface inclusion in solid materials.