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The present study is concerned with the investigation of the transient responses of a half-space medium with the variable material properties in the context of dual phase lag thermo-elasticity. The boundary of the medium is subjected to thermal shock. Further, the bounding surface is considered to be heated by a non-Gaussian laser beam. Kirchhoff transformation and the Laplace transform technique have been adopted to obtain the analytical solutions. Graphical results of the field components such as non-dimensional conductive temperature, non-dimensional displacement as well as non-dimensional stress have been achieved and illustrated for the different values of time and variable thermal conductivity. Significant results are obtained and it is believed that these results may support in designing the structures heated by a non-Gaussian laser beam in engineering.

Investigation of thermal excitation induced by laser pulses and thermal shock in the half space medium with variable thermal conductivity