Abstract

One of the main problems which arise during the computation of welding processes is the development of a proper mathematical model for the distribution of heat Power Density of a moving heat source. Though there has been an extensive research done following Pavelic who had proposed a formula of a Circular Source of Heat (see Fassani (J Brazilian Soc Mech Sci 25:302–305, 2003) in 1969 for the first time, no one has yet been able to give a crucial scientific idea for determining the heat source parameters of Gaussian distributed spatial heat source. Due to lack of clear mathematical modeling of Gaussian distributed heat Power Density, an accurate formula needs to be developed. In this paper, I have proposed a completely new idea to define Gaussian distributed spatial heat source for the one dimensional case. A simple and relevant method has been adopted to elucidate the new idea.

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