THERMOMECHANICAL MODELLING THE RESISTANCE WELDING OF PbSb ALLOY
Abstract
The analytical modelling of the PbSb alloy resistance spot welding process has been developed on the basis of mathematical analysis of thermo¬mechanical conservation laws. The numerical solution of partial differential equations, obtained by such modelling, has been achieved by the finite element method.
Thermomechanical equilibrium equations are derived, including specific properties, typical for PbSb alloys. The paper utilizes the basic experimen¬tally proven assumption, that the temperature fields govern all processes during welding. Full agreement is evident between the experimental and analytical data.
Dates
- Submission Date2009-12-10
- Revision Date2009-12-11
- Acceptance Date2009-12-16
References
- Crivelli, L. A., Idelshon, S. R., A Temperature-Based Finite Element Solution for Phase-Change Problems, International Journal for Numerical Method in Engineering, 23 (1986), 1, pp. 99-119
- Lazaridis, A., A Numerical Solution of the Multidimensional Solidification (or Melting) Problem, International Journal Mass Transfer, 13 (1970), 9, pp. 1459-1477
- Sikarskil, D. I., Bolly, B. A., The Solution of a Class of Two-Dimensional Melting and Solidification Problem, International Journal Solid Structure, 1 (1965), 2, pp. 207-234
- Orlov, D., Technology and Equipment of Contact Welding (in Russian), Mashinostroenie, Moscow, 1975, and 1986
- Nakata, S., et al., In-Process Quality Control of Spot Weld by Detecting Voltage between Electrode Tips - Adaptive Control for Quality Assurance of Resistance Spot Weld in Real Time (2nd report), IIW Doc. III-719-82, 1982
- Nied, H. A., The Finite Element Modeling of the Resistance Spot Welding Process, Welding Journal, 63 (1984), 4, pp. 123s-132s
- Rice, W., Funk, E. J., An Analytical Investigation of the Temperature Distributions during Resistance Welding, Welding Journal, 46 (1967), 4, pp. 175s-186s
- Sedmak, A., Numerical Simulation of the Welding Process - I part: Temperature fields (in Serbian), Zavarivanje i zavarene konstrukcije, 41 (1996), 1, pp. 5-12
- Sedmak, A., Numerical Simulation of the Welding Process - II part: Residual stresses (in Serbian), Zavarivanje i zavarene konstrukcije, 41 (1996), 2, pp. 131-137
- Kalaba, D., Thermomechanical Modelling of the Resistance Welding Process of PbSb Alloy (in Serbian), Ph. D. thesis, University of Priština, Faculty of Mechanical Engineering, Priština, Serbia, 1998
- Berković, M., Maksimović, S., Sedmak, A., Analysis of Welded Joints by Application of the Finite Element Method (in Serbian), in: IFMASS 3 "Fracture Mechanics of Welded Joints" (Ed. S. Sedmak), Lectures presented at the Third International Fracture Mechanics Summer School, Arandjelovac, Serbia, 1984, GOŠA Institute and Faculty of Technology and Metallurgy, University of Belgrade, pp. 111-128
- Bon, E., Nigro, L., Sanpietri, C., Numerical Solution of Thermal Processes with State and Phase-Change: The Computer Code Aten-2D, Proceedings, ICNMNL Problems, Dubrovnik, Yugoslavia, 1986, pp. 951-963
- Easterling, K., Introduction to the Physical Metallurgy of Welding, Butterworths Co., London, 1982
- Huebner, K. H., Thornton, E. A., Finite Element Method for Engineers, 2nd ed. John Wiley & Sons, New York, USA, 1982
- Sahm, P., Numerical Simulation and Modelling of Casting and Solidification Processes for Foundry and Cast-House, CIATF, Zürich, Switzerland, 1984
- Bathe, K. J., ADINAT-A Finite Element Program for Automatic Dynamic Incremental Nonlinear Analysis of Temperatures, AVL Report 82442-5, Mechanical Engineering Department, M.I.T., 1977
- Bentley, K. P., Greenwood, J. A., Knowlson, P. M., Backer, R. G., Temperature Distribution in Spot Welds, British Welding
Volume
14,
Issue
2,
Pages437 -450