Molten region around the cavity generated by a moving electron beam

In this paper analytical predictions of the molten region around the cavity produced by a moving electron beam are provided. A three-dimensional analytical model is used to predict the molten and heat-affected regions surrounding a paraboloid of revolution-shaped cavity. This work avoids the defect of the infinite temperature at the cavity base for the line-source model. Introducing a new image method, an analytical solution is provided by satisfying exactly the adiabatic condition at the top surface. The molten region is governed by dimensionless parameters related to beam power per unit penetration and the depth and shape of the cavity in this work. A three-dimensional molten region is computed and presented in this paper. The effect of beam power per unit penetration on the molten region is also discussed.