tailieunhanh - Mathematical modeling of temperature during laser forming using bimodal beam

An analytical and numerical solution is developed for a transient heat conduction equation in which a plane slab is heated by a bimodal distribution beam over the upper surface. In laser heat treatment of steel few methods are used to produce a wider and nearly uniform average irradiance profile. | Mathematical modeling of temperature during laser forming using bimodal beam Engineering Solid Mechanics 3 2015 187-194 Contents lists available at GrowingScience Engineering Solid Mechanics homepage esm Mathematical modeling of temperature during laser forming using bimodal beam Masoud Sistaniniaa and Mahjoubeh Sistaniniab a Materials Center Leoben Forschung GmbH Roseggerstrasse 12 A-8700 Leoben Austria b Department of Materials Science and Engineering Shahid Bahonar University of Kerman Postal code 7618868366 Kerman Iran ARTICLE INFO ABSTRACT Article history An analytical and numerical solution is developed for a transient heat conduction equation in Received 6 January 2015 which a plane slab is heated by a bimodal distribution beam over the upper surface. In laser Accepted 15 April 2015 heat treatment of steel few methods are used to produce a wider and nearly uniform average Available online irradiance profile. This may be achieved by a bimodal TEM11 shaped laser beam. In this 17 April 2015 Keywords paper Green function method is employed to derive an analytical solution for thermal field Thermal modeling distribution induced by laser forming process. Then 3-D finite element modeling of a slab in Laser forming the ANSYS code is used to model the thermal field of laser forming with bimodal beam Finite element distribution. The results show that bimodal beam is useful for obtaining a uniform heat intensity Bimodal beam distribution. 2015 Growing Science Ltd. All rights reserved. 1. Introduction Laser forming is a novel technique where a laser beam causes thermal expansion locally and deformation is achieved by scanning the laser beam across one side of the material. In laser heat treatment of steel bimodal distribution beam Fig. 1 is used to produce a wider and nearly uniform average irradiance profile. The temperature gradients that are developed through the material induce distortion because the temperature is changed with thickness and