溶接ビードの温度分布

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The two-dimensional temperature distribution in the longitudinal middle section of welding bead under quasi-stationary state during welding can be approximately represented by the following equation referring to the rectangular coordinate (x,y), the origin of which is moving with the heat source towards the positive direction of x-axis, u=u^*+(u_0-u^*)e^<(h^2a^2)/(v_0b)x>cosμ_0(1-y/b), where u_0 is the temperature of welding heat source; u^*, an imaginary temperature at which the temperature of bead is considered to be balanced with that of base metal while the bead is cooling, and this is to be determined experimentally; b is thickness of bead, that is, distance from the deepest bottom to the top of the bead surface; v_0, welding velocity; h^2, thermal diffusivity; a^2, coefficient of heat transfer from bead to base metal; and μ_0, minimum positive root of the equation cotμ=μ/(a^2b) By this equation the isotherm of the bead may be found as follows: x=(ν_0)/(2h^2)(b-y)^2+ξ;ξ=-(ν_0b)/(h^2a^2)log((u_0-u^*)/(u-u^*)) Further, the formula which represents the shape of columnar crystal found in the longitudinal middle section of bead is obtained as follows by calculating the orthogonal trajectory of the melting-point isotherm shifting with time: x=-(h^2)/(ν_0)log(1-y/b). This describes the shape of practical columnar crystal with near precision and clarifies the following main properties. The higher the welding speed, the larger the thickness of bead and the smaller the thermal diffusivity of weld metal, the nearer the inclination of columnar crystal will be to perpendicular position.
社団法人溶接学会の論文
1961-05-25

溶接ビードの温度分布

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