From analytical solutions of the heat conduction equation in an infinite continuous medium with invariable thermal physical properties, the paper regards a laser-irradiated body as a part of the continuous medium, adopts the weighing function of laser power related to the shape of the body, and then gives a semi-analytical approach. The method can approximately estimate the instantaneous temperature field of laser irradiation on an arbitrary shape surface. Comparison of calculation results with accuracy solutions is presented. Finally, examples applied to estimate phase transformation hardening stripes of laser irradiation on cylinder work-pieces are given.
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