Transient heat transfer analysis of a cracked strip irradiated by ultrafast Gaussian laser beam using dual-phase-lag theory

Abstract

With the rapid development of ultrafast laser technology, the effect of non-Fourier heat conduction on the transient process has received considerable attention. In the present article, the non-Fourier dual-phase-lag heat conduction theory is adopted to analyze the transient thermal process of a cracked strip subjected to ultrafast laser heating. The originality of this work lies in considerations of Gaussian type distribution of the laser beam and the insulated crack's disturbance to the heat flow. Fourier transform and Laplace transform are utilized to reduce the complex boundary-value problems to the Cauchy-type singular integral equation, which is then solved numerically by the Lobatto-Chebyshev technique. With the aid of the numerical inversion of Laplace transform, the transient temperature characteristics of the cracked strip are displayed graphically to illustrate the effects of the two non-Fourier thermal lags, laser incident position, and the Gaussian type heating source.