This work is related to modeling of metal surface modification process by combined particles beam. On the basis of thermodynamics of irreversible processes, including equations of state in differential form, a nonlinear model is formulated. The model takes into account the interaction of thermal, diffusion and mechanical waves and finiteness of relaxation times of thermal and diffusion processes. For the combined particle flow such model is proposed for the first time. The numerical algorithm is based on implicit difference schemes. The study of the interaction of waves of different nature is carried out on the example of a copper target treated with nickel and gold particles. It is shown that deformations take the maximal value at the left boundary, which is directly related to the presence of impurity concentration gradients. Depending on the pulse duration, the difference between the extrema on the elastic wave becomes less significant. With increasing temperature, obviously, the diffusion process accelerates. The propagation velocities of the interacting waves are different. The character of distributions of concentrations of introduced particles directly depends on the value of parameters proportional to relaxation times.

中文翻译：

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通过组合粒子束对金属进行表面处理


这项工作与组合粒子束对金属表面改性过程的建模有关。基于不可逆过程的热力学，包括微分形式的状态方程，建立了非线性模型。该模型考虑了热波、扩散波和机械波的相互作用，以及热和扩散过程的弛豫时间的有限性。对于组合粒子流，首次提出了这种模型。数值算法基于隐式差分方案。不同性质的波相互作用的研究是在用镍和金颗粒处理的铜靶材的例子上进行的。结果表明，变形在左边界处取最大值，这与杂质浓度梯度的存在直接相关。根据脉冲持续时间，弹性波上的极值之间的差异变得不那么明显。显然，随着温度的升高，扩散过程会加速。相互作用波的传播速度不同。引入粒子浓度分布的特性直接取决于与弛豫时间成正比的参数值。