ABSTRACT The paper studies the interface relief of copper–tantalum, copper–titanium and copper–copper joints. It demonstrates that interfaces could be considered as a fractal object. Fractal dimensions are calculated for these joints. A rule is established for the behavior of the fractal dimension during the transition from flat interfaces to wavy ones; this rule holds true of all joint pairs. Some behavior specifics are found for the fractal dimension of wavy interfaces of the copper–copper joint (which was substituted with Cu-Cu80Ni20 joint for convenience). The study shows that the fractal dimension in general decreases when welding modes are intensified. However, in the case of welding modes that are close in terms of energy input, certain peculiarities or deviations from such behavior can be observed. Graphical Abstract

中文翻译：

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爆炸焊接产生的 Cu-Ta、Cu-Ti、Cu-Cu 接头的显微组织：界面起伏的分形描述

摘要 本文研究了铜-钽、铜-钛和铜-铜接头的界面浮雕。它表明界面可以被视为分形对象。计算这些关节的分形维数。为分形维数从平坦界面过渡到波浪界面的行为建立了规则；此规则适用于所有联合对。发现了铜-铜接头（为方便起见，用 Cu-Cu80Ni20 接头代替）的波状界面的分形维数的一些行为细节。研究表明，当焊接模式加强时，分形维数通常会降低。然而，在能量输入方面接近的焊接模式的情况下，可以观察到与这种行为的某些特性或偏差。图形概要