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Numerical Simulation of Molten Pool Surface Deformation in TIG Welding

Literature Overview

The paper by Zhang Jianbao and Wang Hong from Taiyuan University of Science and Technology, published in the journal "Hot Working Technology" (热加工工艺) in 2016, presents a numerical simulation study of the molten pool surface deformation during TIG welding. The authors developed a computational model that accounts for the free surface of the molten pool, employed a moving double-ellipsoidal heat source to represent the TIG arc, and used the FLUENT computational fluid dynamics (CFD) software to simulate the stress field on the molten pool surface under different welding currents. The study systematically analyzed the influence of welding current on the arc pressure distribution and the resulting molten pool surface deformation, providing valuable insights into the formation mechanism of weld bead geometry.

Core Technical Content

Computational Model Development

The authors established a computational model that incorporates the free surface of the molten pool, which is a critical aspect often simplified or neglected in conventional welding simulations. The free surface of the molten pool is subjected to multiple forces, including:

  1. Arc pressure: The electromagnetic and momentum forces exerted by the arc on the molten pool surface, which is the primary force responsible for surface deformation.
  2. Surface tension: The capillary force that acts to minimize the surface area of the molten pool, counteracting the arc pressure-induced deformation.
  3. Buoyancy: The density-driven force that causes hot, less dense metal to rise and cool, denser metal to sink, creating natural convection currents.
  4. Viscous stress: The internal friction within the liquid metal that resists flow and deformation.

The moving double-ellipsoidal heat source model was selected to represent the TIG arc heat input. This model divides the heat input into two ellipsoidal regions: a front region with a smaller semi-axis and higher heat flux density, and a rear region with a larger semi-axis and lower heat flux density. This configuration accurately represents the asymmetric temperature distribution observed in arc welding, where the temperature gradient is steeper ahead of the arc and more gradual behind it.

Arc Pressure and Surface Deformation Analysis

The simulation results revealed several important characteristics of the arc pressure distribution and molten pool surface deformation:

Symmetry and Asymmetry: The stress distribution on the molten pool surface was found to be symmetric in the direction perpendicular to the weld seam (left-right direction) but asymmetric in the direction parallel to the weld seam (front-rear direction). This asymmetry is a direct consequence of the directional nature of the welding process, where the arc moves forward and leaves a cooling trail behind.

Stress Distribution Pattern: In the left-right direction, the stress values exhibited a parabolic distribution, with the maximum stress occurring at the centerline of the weld seam and decreasing toward the edges of the molten pool. In the front-rear direction, the stress distribution showed a trailing phenomenon, where the stress distribution in the front half of the molten pool was more densely concentrated, while the stress distribution in the rear half was more sparsely distributed.

Current Level Arc Pressure Surface Deformation Stress Gradient
Low current Lower Smaller Gentler
Medium current Moderate Moderate Moderate
High current Higher Larger Steeper

Current Dependence: Within a certain current range, as the welding current increased, the arc pressure increased proportionally, leading to greater molten pool surface deformation. The stress gradient also increased with current, meaning that the transition from high-stress to low-stress regions became more abrupt. This has direct implications for weld bead geometry, as higher currents produce deeper and narrower weld beads due to the greater arc pressure-driven penetration.

Validation of Simulation Results

The authors validated their simulation results by comparing the predicted molten pool surface deformation with experimental measurements. The good agreement between the simulation and experimental results confirmed the accuracy of the computational model and the appropriateness of the double-ellipsoidal heat source representation for TIG welding.

Engineering Practice Integration

Weld Bead Geometry Control

The simulation results provide a quantitative basis for controlling weld bead geometry through welding current selection. For engineers tasked with developing welding procedures for specific joint configurations, understanding the relationship between current, arc pressure, and surface deformation is essential for predicting and controlling weld bead width, depth, and reinforcement. For example, in the welding of thin-walled tubing, excessive current may cause excessive arc pressure and burn-through, while insufficient current may result in inadequate penetration and lack of fusion.

Multi-Pass Welding Strategy

For multi-pass welding of thick sections, the simulation insights can inform the selection of current for each pass. The root pass typically requires lower current to control penetration and prevent burn-through, while the fill passes may use higher current to increase deposition rate. The cap pass requires careful current control to achieve adequate reinforcement without excessive convexity. The understanding of arc pressure effects at different current levels enables more rational pass-by-pass parameter selection.

Interaction with Residual Stress

The molten pool surface deformation analyzed in this study is directly related to the solidification pattern of the weld metal, which in turn influences the residual stress distribution in the weld and heat-affected zone. Greater surface deformation at higher currents leads to different solidification sequences and thermal strain patterns, which can affect the magnitude and direction of residual stresses. This connection between surface deformation and residual stress is critical for applications where distortion control is important, such as in the fabrication of large structural components and pressure vessels.

Key Questions and Reflections

A significant question arising from this study is the influence of welding current on the transition from conduction-mode to transition-mode welding. At higher currents, the arc pressure becomes sufficient to push the molten pool surface downward, creating a keyhole-like cavity that enhances penetration. The simulation results suggest that this transition occurs within a specific current range, and the rate of deformation increase accelerates beyond this threshold. Understanding this transition is critical for optimizing penetration depth without causing defects such as excessive undercut or backside bulge.

Another reflection concerns the limitations of the simulation model. While the free surface was included, the model assumed a steady-state condition and did not account for the dynamic evolution of the molten pool during the transient phases of arc initiation, travel, and termination. In practice, these transient phases can significantly affect the weld quality, particularly at the start and end of weld runs. Future work should extend the simulation to include transient effects and the interaction between the molten pool dynamics and the solidification microstructure.

Study Insights and Reference Value

This paper demonstrates the value of computational fluid dynamics in understanding the fundamental physics of arc welding processes. The simulation provides a detailed picture of the force balance on the molten pool surface, which is not directly observable in experimental settings due to the extreme temperatures and rapid dynamics involved. The quantitative relationships established between welding current, arc pressure, and surface deformation provide engineers with predictive tools for process optimization. The validation against experimental data enhances confidence in the simulation results and supports their application in practical welding procedure development. For engineers engaged in welding process development, this study offers a rigorous methodology for analyzing the effects of welding parameters on weld geometry, complementing empirical approaches with physics-based understanding. The work underscores the importance of considering the free surface dynamics in welding simulations, as neglecting this aspect can lead to significant errors in predicting weld bead geometry and quality.