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Calculation of Stresses Initiated by an Electrical Explosion of Conductors in a Composite Thick-Walled Cylinder
Vestnik St. Petersburg University, Mathematics Pub Date : 2024-01-24 , DOI: 10.1134/s1063454123040192
V. M. Kats , V. A. Morozov , Ya. A. Sevastyanov

Abstract

In this paper, we present an analysis of the dynamic loading of a material carried out by the method of electrical explosion of conductors (EEC). A composite cylinder, which is a thick-walled polymethyl methacrylate cylinder with an axial hole that is pressed into an aluminum shell, is selected as the experimental sample. The sample is loaded by applying an electrical voltage to a conductor in the form of a copper wire placed inside the axial hole of the sample. A state equation for an electrical explosion of the conductor is obtained; the experimental and calculated dependences of pressure in the air channel on the expansion coefficient of the EEC products are plotted. A theoretical model that describes the change in radial stresses arising during loading with allowance for the boundary and initial conditions is developed. The accuracy of the model is substantiated by comparing the obtained results with experimental data. The circumferential stress at which the aluminum shell ruptures directly is estimated.



中文翻译:

复合厚壁圆柱体中导体电爆引起的应力计算

摘要

在本文中,我们提出了通过导体电爆炸(EEC)方法对材料的动态载荷进行分析。选择复合圆柱体作为实验样品,该复合圆柱体是带有轴向孔的厚壁聚甲基丙烯酸甲酯圆柱体,压入铝壳中。通过向放置在样品轴向孔内的铜线形式的导体施加电压来加载样品。得到导体电爆炸的状态方程;绘制了空气通道中压力对 EEC 产品膨胀系数的实验和计算依赖性。开发了一个理论模型,该模型描述了在考虑边界和初始条件的情况下加载过程中产生的径向应力的变化。通过将所得结果与实验数据进行比较,证实了模型的准确性。估算了铝壳直接破裂时的周向应力。

更新日期:2024-01-25
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