JOURNAL OF THE JAPAN WELDING SOCIETY
Online ISSN : 1883-7204
Print ISSN : 0021-4787
ISSN-L : 0021-4787
On the Thermal Time Constant of Resistance Spot Welding
Thermal Time Constant, Temperature Fluctuation in A. C. Heating
K. AndoT. Nakamura
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1957 Volume 26 Issue 12 Pages 742-746

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Abstract
Under the same assumptions as Report I (Japanese W. J. 26 No. 9 p.558 1957), temperature variation along the plate thickness during the heating time are shown as equ. (20), (21), and we see that higher harmonics of Fourier series can be neglected compared to the fundamental. So the heat time constant can be expressed as equ. (22), (23), and the calculated values are shown in Table 2 in case of X0=1mm, assuming that θm is equal to the melting temperature θf of the material under question.
For the cooling phenomena T10 of equ. (23) must be taken instead of T1. The temperature fluctuation due to a.c. heating can be calculated easily when we assume a=0, and the result is given as equ. (33) for steady state. Table 3 shows that the temperature varies 29% up and down the mean value in case of aluminium alloy of 1 mm thickness for f=50 _??_ if we take the contants shown in Table 1 of Report I.
The critical current density, over which the temperature tends to infinity under the assumptions of Report I, is shown in Table 1.
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