Simulation of thermal processes in a half-space under heating by a moving source with a uniformly distributed heat flow

A. V. Verameichyk, B. G. Kholodar
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Abstract

Using the method of applying instantaneous point sources, a solution was obtained to the problem of heat conduction during surface heating of a body in the form of a half-space by a uniformly distributed highly concentrated heat flux moving at a constant speed along a rectilinear trajectory with a different shape of the heating spot at constant thermophysical characteristics of the material. The effect of temperature loading modes and the shape of the heating spot on thermal processes in the heat-affected zone is studied. The surfaces and lines of the temperature level are constructed for different moments of time and speed loading modes in different planes of the heating zone. Time dependences of temperatures, heating and cooling rates for body points are given. The shortcomings of the methods used for linear thermal conductivity, the lack of direct consideration in the design scheme of the surface melt zone of the material do not allow one to reliably assess the effect of heat treatment modes on changes in material properties, focusing only on the level of the maximum design temperature. In this regard, the structure formation of metal in the zone of thermal action is proposed to be associated with a thermal impulse, i.e. the total thermal energy perceived by the material at a given point of the body, as well as with the effective structurization impulse introduced into consideration, which characterizes the energy spent on the process of structural transformations of the material, and the structurization time at a point and some volume of the body. The dependencies of these values on the speed of movement and the shape of the heating spot are presented. The considered approaches can be applied to various metals and alloys. The research results can be used to develop more effective methods for determining the optimal modes of surface hardening of metal products with a high-energy source.
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模拟热流均匀分布的移动源加热半空间的热过程
在材料热物理特性不变的情况下,沿直线轨迹匀速运动的均匀分布的高度集中热通量在半空间形式的物体表面加热过程中的热传导问题,通过应用瞬时点源的方法获得了解决方案。研究了温度加载模式和加热点形状对热影响区热过程的影响。在加热区的不同平面上,针对不同的时间和速度加载模式,构建了温度水平的面和线。给出了体点温度、加热率和冷却率的时间相关性。线性热导率所用方法的缺点是在材料表面熔化区的设计方案中缺乏直接考虑,因此无法可靠地评估热处理模式对材料性能变化的影响,只能关注最高设计温度的水平。在这方面,建议将热作用区金属结构的形成与热冲量(即材料在机体某点感受到的总热能)以及有效的结构化冲量(表征材料结构转变过程中消耗的能量)联系起来,并考虑机体某点和某些体积的结构化时间。这些值对运动速度和加热点形状的依赖关系都已呈现。所考虑的方法可应用于各种金属和合金。研究成果可用于开发更有效的方法,以确定使用高能源对金属产品进行表面硬化的最佳模式。
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