Thermomechanical Analysis of Plates Undergoing Line Heating Using Pseudolinear Equivalent Constant Rigidity System

Abstract

Line-heating technique involves application of controlled thermal cycles. In developing the technique of line heating, which is nonlinear and involves plastic deformation of the medium at high temperature varying in both time and space, analytical solutions turned out to be inadequate. At the same time conventional numerical techniques proved to be highly time consuming and thereby prohibitively expensive in real life situations. In this investigation, the initial nonlinear problem with modulus varying with temperature was transformed into a pseudolinear equivalent system of constant rigidity that was solved by applying linear analysis. The analysis procedure presented in this work and the results thus obtained hold great promise for analyzing the complicated thermal elastic-plastic problems as encountered in line-heating process.