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¡@AnCAD Newsletter - Technical News

MATFOR in Welding Technology

A Significant Analysis Tool

    
Professors Wang and Hou
Department of Mechanical Engineering
Chang Gung University, Taiwan
 

Difficulty in Measuring Temperature Distribution

In conventional welding technology researches, its temperature distribution is often measured by performing experiments.  With changes in welding time, input heat, input position, and heat transfer conditions such as material density, specific heat, heat transfer coefficient, and boundary conditions, the results of this temperature distribution vary.  Among them, an uneven distribution greatly influences the weldment heat distortion and produces thermal stress.  However, as the major factor of welding quality, the heat affect zone, is located on the weldment edge, its temperature distribution is difficult to obtain using experimental measures (only the average temperature can be measured due to the over-1500-Celsius-degree high center temperature and the extremely small welding point).

To Solve the Problem

To solve this problem, Professors Wang and Hou have utilized the numerical method to construct a welding heat transfer model and set the related welding variables.  Using this model, the temperature field of the heat affect zone can be efficiently calculated by measuring only the surrounding low-temperature regions, comparing them with the numerical results, and further adjusting the welding parameters.  The governing heat transfer equation during welding is a transitional, 3D energy equation, which can be used to calculate the temperature of various weldment parts.  Based on a finite difference algorithm, the ADI (Alternating Direction Implicit) method used in this research is especially fitting in solving parabolic partial differential equations.  Of second-order precision, the method possesses the stability of unconditional convergence.  Thus, the convergence of solutions is unaffected by the time-space grid size during numerical analysis.  As the ADI method primarily converts 2D or 3D partial differential equations into consecutive first-order problems, it is exceptional in calculation efficiency.

Visualizing the Results Using MATFOR

With MATFOR, the computing results can be drawn in 3D structure by adding a few lines of codes.  This assists users to quickly and precisely analyze the temperature distribution of the weldment and further calculate the heat distortion and heat affect zone.  Figure 1 demonstrates the 1500-degree iso-surface visualized using the function mfIsoSurface (shown in red); it also illustrates the temperature distribution result in generated by the function msTriContour.  Figure 2 animates the sliced sections of the distribution, which facilitates debugging during program development and enhances visual presentation.  General users also benefit as they utilize these visual results for easier analysis of the research contents, saving time and improving communication.

Figure 1. The 1500-degree-Celsius iso-surface is drawn (in red) while the temperature distribution result is illustrated using msTriContour in various shades of blue.

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Figure 2. The distribution of temperature is animated in sliced sections.
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Welding Technology

Welding is one important manufacturing technique for traditional machinery industries and large precision machines.  It is commonly exploited in the joining of metals; an excellent exemplification would be the manufacturing process of automobiles.  Not only does quality welding technique reinforce automobile body rigidity to enhance passenger safety, it extends the life of the car body at the same time.  Other machines requiring welding technique also benefit from similar effects.

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