Analysis of angular distortion in line-heating

A simplified analytical model for prediction of deformations of metal plates due to line-heating process is presented. In the present work, a formula for plate deformation produced by line-heating in terms of process parameters such as heat input and plate dimensions is developed analytically using an eigenstrain concept. The residual deformation due to thermal processing was depends on the magnitude and region of plastic strains at heating zone. The magnitude of plastic strains was determined by disk model and its region was calculated using the Rosenthal's solution. The vertical displacement of the plate was analysed by using an infinite laminated plate theory to consider a cuboidal inclusion with an eigenstrain. Comparison of calculated results and experimental data shows the accuracy and validity of proposed model.