Modeling of thermal phenomena in single laser beam and laser-arc hybrid welding processes using projection method

Piekarska, W.; Кубяк, М.

doi:10.1016/j.apm.2012.04.052

Cited by 50 publications

(43 citation statements)

References 21 publications

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“…In a single laser beam welding highly concentrated heat source melts the workpiece, causing significant evaporation of the mate-rial in the heat source activity zone and creating the "keyhole" [2,4,6]. The motion of liquid material in the welding pool also plays important role in thermal phenomena during welding process.…”

Section: Thermal Phenomenamentioning

confidence: 99%

“…Liquid material motion is mostly driven by the buoyancy forces (Boussinesq's model) in the melted zone. The region between solidus and liquidus temperatures (mushy zone) is treated as the porous medium (Darcy's model) [6,7]. Phase transformations due to material state changes [11] are taken into consideration in the mushy zone (solid-liquid transformation) and in temperatures exceeding the metal boiling point (liquid-gas transformation).…”

Section: Thermal Phenomenamentioning

confidence: 99%

“…Very important in terms of formal modelling is proper selection of heat source shape and its energy distribution. In the case of solid state lasers with an active medium in a shape of a disk a considerable number of studies are focused on the modelling of the TEM 00 Gaussian lasing profiles [4,6], omitting the effects of non-Gaussian beam profile [8]. The non-uniform distribution of pump beam and the radial heat dissipation induces no desirable thermal lensing effects influencing beam shape, quality and output power stability [9].…”

Section: Introductionmentioning

confidence: 99%

“…Numerical models usually describe chosen phenomena, due to the computational complexity of the problem [4,5]. Due to the significant progress in the development of numerical techniques and increased computing power the analysis is recently completed by fluid flow phenomena [4,6]. Consideration of liquid material motion in the model allows for the analysis of previously neglected phenomena in material melting processes and has a significant impact on the estimated temperature distribution and consequently numerically estimated shape and size of the melted zone.…”

Section: Introductionmentioning

confidence: 99%

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Numerical modelling of thermal phenomena in Yb:YAG laser welding process

Piekarska

Кубяк

Saternus

et al. 2014

J. Appl. Math. Comput. Mech.

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Abstract. This paper concerns numerical modelling of the Yb:YAG laser beam welding process. Numerical algorithms are developed for the analysis of thermal phenomena in a laser welded joint taking into account the motion of the liquid material in the welding pool. The model describing the laser beam heat source power distribution is developed on the basis of the kriging method. The heat source model uses the real laser beam profile obtained from experimental measurements of the beam emitted from a Trumpf D70 laser head performed on UFF100 analyzer. On the basis of developed numerical algorithms computer simulations of a Yb:YAG laser beam welding are carried out used to analyze the influence of the thermal load model on the shape and size of the weld.

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Section: Thermal Phenomenamentioning

confidence: 99%

Section: Thermal Phenomenamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical modelling of thermal phenomena in Yb:YAG laser welding process

Piekarska

Кубяк

Saternus

et al. 2014

J. Appl. Math. Comput. Mech.

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“…If the explicit effect of component segregation is neglected one can consider it indirectly using one of the models involving solidification between the solidus and liquidus temperatures. They are widely used to model various technological processes containing solidification such as continuous casting or welding [4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Effect Of Natural Convection On Directional Solidification Of Pure Metal

Skrzypczak

Węgrzyn-Skrzypczak

Winczek

2015

Archives of Metallurgy and Materials

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The paper is focused on the modeling of the directional solidification process of pure metal. During the process the solidification front is sharp in the shape of the surface separating liquid from solid in three dimensional space or a curve in 2D. The position and shape of the solid-liquid interface change according to time. The local velocity of the interface depends on the values of heat fluxes on the solid and liquid sides. Sharp interface solidification belongs to the phase transition problems which occur due to temperature changes, pressure, etc. Transition from one state to another is discontinuous from the mathematical point of view. Such process can be identified during water freezing, evaporation, melting and solidification of metals and alloys, etc.The influence of natural convection on the temperature distribution and the solid-liquid interface motion during solidification of pure copper is studied. The mathematical model of the process is based on the differential equations of heat transfer with convection, Navier-Stokes equation and the motion of the interface. This system of equations is supplemented by the appropriate initial and boundary conditions. In addition the continuity conditions at the solidification interface must be properly formulated. The solution involves the determination of the temporary temperature and velocity fields and the position of the interface. Typically, it is impossible to obtain the exact solution of such problem. The numerical model of solidification of pure copper in a closed cavity is presented, the influence of the natural convection on the phase change is investigated. Mathematical formulation of the problem is based on the Stefan problem with moving internal boundaries. The equations are spatially discretized with the use of fixed grid by means of the Finite Element Method (FEM). Front advancing technique uses the Level Set Method (LSM). Chorin's projection method is used to solve Navier-Stokes equation. Such approach makes possible to uncouple velocities and pressure. The Petrov-Galerkin formulation is employed to stabilize numerical solutions of the equations. The results of numerical simulations in the 2D region are discussed and compared to the results obtained from the simulation where movement of the liquid phase was neglected.Keywords: Pure Metal, Solidification, Sharp Interface, Natural Convection, Finite Element Method, Level Set Method Praca porusza problematykę modelowania kierunkowego krzepnięcia czystego metalu. Podczas tego procesu obserwuje się formowanie ostrego frontu krzepnięcia w postaci powierzchni separującej ciecz i ciało stałe w przypadku trójwymiarowym lub krzywej w przypadku płaskim. Położenie oraz kształt interfejsu krzepnięcia zmieniają się w czasie a wartości prędkości lokalnych zależą od różnicy intensywności strumieni ciepła po stronie ciała stałego i cieczy. Krzepnięcie z ostrym frontem należy do grupy procesów z przemianami fazowymi, które warunkowane są zmianami temperatury, ciśnienia, itp. Przejście fazowe z jednego stanu w drugi...

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