FEA-based Gaussian density heat source models were developed to study the effect of convective and radiative heat sinks on the transient temperature field predicted by the available analytical solution of the purely conduction-based Goldak’s heat source. A new complex 3D Gaussian heat source model, incorporating all three modes of heat transfer, i.e. conduction, convection and radiation, has been developed as an extension of the Goldak heat source. The approximate transient analytical solutions for this 3D moving heat source were derived and numerically benchmarked with the available measured temperature and weld pool geometry data. The calibrated transient temperature field generated by MATLAB programming was 5 to 6 times faster than by FEA-based simulation. The new complex 3D Gaussian heat source model and its approximate solution could significantly reduce the computing time in generating the transient temperature field and be an efficient alternative to extensive FEA-based simulations of heating sequences, where virtual optimisation of a melting heat source (i.e. used in welding, heating, cutting or other advanced manufacturing processes) is desirable for characterisation of material behaviour in microstructure evolution, melted pool, microhardness, residual stress and distortions.

开发了基于 FEA 的高斯密度热源模型来研究对流和辐射散热器对由纯传导型 Goldak 热源的可用解析解预测的瞬态温度场的影响。一个新的复杂的 3D 高斯热源模型，结合了所有三种传热模式，即传导、对流和辐射，已被开发作为 Goldak 热源的扩展。该 3D 移动热源的近似瞬态分析解决方案是根据可用的测量温度和熔池几何数据导出和数值基准的。MATLAB 编程生成的校准瞬态温度场比基于 FEA 的仿真快 5 到 6 倍。