Analytical Approximate Solution for Double Ellipsoidal Heat Source in Finite Thick Plate

This work describes the detailed derivation of the analytical approximate solution for a double ellipsoidal density heat source in finite thick plate. This has shown that the solution of the heat source can be effectively used to predict the thermal history of the thick welded plate as well as weld pool shape geometry and various welding simulation purposes once the parameters of the heat source have been calibrated. This approximate solution can be directly used for welding simulation of finite thick plate without the need for implementing the mirror method as required in a semi-infinite body. Hence, it can be used as a potentially convenient tool for solving many problems in thermal stress analysis, residual stress analysis, and microstructure modeling of multipass welds, and others.