2020 # Lamé curve approximation for the assessment of the 3D temperature distribution in keyhole mode welding processes

**Abstract:** A novel approach for the reconstruction of an equivalent volumetric heat source from a known weld pool shape is proposed. It is based on previously obtained weld pool geometries from a steady-state thermo-fluid dynamics simulation. Hereby, the weld pool dimensions are obtained under consideration of the most crucial physical phenomena, such as phase transformations, thermo-capillary convection, natural convection, and temperature-dependent material properties. The algorithm provides a time and calibration effi…

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“…The second model utilized in this study is based on the definition of Lamé curves which define the shape of the weld pool geometry. In order to determine the exact weld pool geometry, a priori steady state thermofluid dynamics simulation is necessary, see [3]. Here, a constant temperature within the defined region of the heat source is assumed.…”

confidence: 99%

“…The second model utilized in this study is based on the definition of Lamé curves which define the shape of the weld pool geometry. In order to determine the exact weld pool geometry, a priori steady state thermofluid dynamics simulation is necessary, see [3]. Here, a constant temperature within the defined region of the heat source is assumed.…”

confidence: 99%

“…In order to be able to describe the process of laser beam welding numerically, the implementation of a heat source, which represents the heat input of the laser beam, is indispensable. In this article, two models will be considered in more detail, Goldak's model, see [1] and [7], and a model which is based on Lamé curves, see [2] and [3]. The identification of the set of process and model parameters is not in the focus of this paper, thus all parameters are assumed to be known.…”

confidence: 99%

“…On one hand, a model based on isotherms, see refs. [1] and [2], and on the other hand, a modified conical model representing a volumetric heat source. Although both models are based on the data from a previous CFD simulation, the heat input is applied in different ways, namely through Dirichlet boundary conditions or body forces.…”

confidence: 99%

“…In order to achieve such enhancements, two heat source models will be discussed below. The first model is developed by the “Bundesanstalt für Materialforschung und ‐prüfung” that represents an equivalent heat source model, compare [1] and [2]. This means that an isotherm is reconstructed from prior Computational Fluid Dynamics (CFD) simulations using Lamé curves and transferred into the simulation through Dirichlet boundary conditions.…”

confidence: 99%