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.

本研究涉及在双相滞后热弹性背景下研究具有可变材料特性的半空间介质的瞬态响应。介质的边界受到热冲击。此外，边界表面被认为被非高斯激光束加热。采用基尔霍夫变换和拉普拉斯变换技术来获得解析解。对于不同的时间值和可变热导率，已经获得并说明了无量纲传导温度、无量纲位移以及无量纲应力等场分量的图形结果。