A one-dimensional spot welding model
A one-dimensional model is proposed for the simulations of resistance spot welding, which is a common industrial method used to join metallic plates by electrical heating. The model consists of the Stefan problem, in enthalpy form, coupled with the equation of charge conservation for the electrica...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/JAM/2006/17936 |
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| _version_ | 1849406620366274560 |
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| author | K. T. Andrews L. Guessous S. Nassar S. V. Putta M. Shillor |
| author_facet | K. T. Andrews L. Guessous S. Nassar S. V. Putta M. Shillor |
| author_sort | K. T. Andrews |
| collection | DOAJ |
| description | A one-dimensional model is proposed for the simulations of resistance spot
welding, which is a common industrial method used to join metallic plates by electrical
heating. The model consists of the Stefan problem, in enthalpy form, coupled with
the equation of charge conservation for the electrical potential. The temperature
dependence of the density, thermal conductivity, specific heat, and electrical
conductivity are taken into account, since the process generally involves a large
temperature range, on the order of 1000 K. The model is general enough to
allow for the welding of plates of different thicknesses or dissimilar materials and
to account for variations in the Joule heating through the material
thickness due to the dependence of electrical resistivity on the
temperature. A novel feature in the model is the inclusion of the effects of interface
resistance between the plates which is also assumed to be temperature dependent.
In addition to constructing the model, a finite difference scheme for its numerical
approximations is described, and representative computer simulations are depicted.
These describe welding processes involving different interface resistances,
different thicknesses, different materials, and different voltage forms.
The differences in the process due to AC or DC currents are depicted as well. |
| format | Article |
| id | doaj-art-4cb1fef3862c452c9676bea82ef3367e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4cb1fef3862c452c9676bea82ef3367e2025-08-20T03:36:19ZengWileyJournal of Applied Mathematics1110-757X1687-00422006-01-01200610.1155/JAM/2006/1793617936A one-dimensional spot welding modelK. T. Andrews0L. Guessous1S. Nassar2S. V. Putta3M. Shillor4Department of Mathematics and Statistics, Oakland University, Rochester 48309-4478, MI, USADepartment of Mechanical Engineering, Oakland University, Rochester 48309-4478, MI, USADepartment of Mechanical Engineering, Oakland University, Rochester 48309-4478, MI, USADepartment of Mechanical Engineering, Oakland University, Rochester 48309-4478, MI, USADepartment of Mathematics and Statistics, Oakland University, Rochester 48309-4478, MI, USAA one-dimensional model is proposed for the simulations of resistance spot welding, which is a common industrial method used to join metallic plates by electrical heating. The model consists of the Stefan problem, in enthalpy form, coupled with the equation of charge conservation for the electrical potential. The temperature dependence of the density, thermal conductivity, specific heat, and electrical conductivity are taken into account, since the process generally involves a large temperature range, on the order of 1000 K. The model is general enough to allow for the welding of plates of different thicknesses or dissimilar materials and to account for variations in the Joule heating through the material thickness due to the dependence of electrical resistivity on the temperature. A novel feature in the model is the inclusion of the effects of interface resistance between the plates which is also assumed to be temperature dependent. In addition to constructing the model, a finite difference scheme for its numerical approximations is described, and representative computer simulations are depicted. These describe welding processes involving different interface resistances, different thicknesses, different materials, and different voltage forms. The differences in the process due to AC or DC currents are depicted as well.http://dx.doi.org/10.1155/JAM/2006/17936 |
| spellingShingle | K. T. Andrews L. Guessous S. Nassar S. V. Putta M. Shillor A one-dimensional spot welding model Journal of Applied Mathematics |
| title | A one-dimensional spot welding model |
| title_full | A one-dimensional spot welding model |
| title_fullStr | A one-dimensional spot welding model |
| title_full_unstemmed | A one-dimensional spot welding model |
| title_short | A one-dimensional spot welding model |
| title_sort | one dimensional spot welding model |
| url | http://dx.doi.org/10.1155/JAM/2006/17936 |
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