Using the wavelet transform to process data from experimental studies of the discontinuous plastic deformation effect

Eugenia Chechulina, Peter Trusov, Roman Gerasimov, Valeriy Vildeman, Michail P. Tretyakov
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Abstract

Vast number of theoretical and experimental works has been devoted to the study of discontinuous plastic deformation (the Portevin-Le Chatelier effect), which manifests itself for most widely used alloys in certain ranges of both temperatures and strain rates. Due to the statistical nature of this phenomenon, difficulties arise in processing, qualitative analysis and quantitative comparison of test results and calculations. Using of statistical methods for these purposes makes it possible to get only some averaged characteristics of the obtained data (usually - moments of the first and second orders in amplitudes and frequencies). A possible alternative for processing of experimental and theoretical results of this effect research is wavelet analysis using. The results of experimental studies of the Portevin–Le Chatelier effect, realized during the deformation of thin-walled tubular specimens made of aluminum alloy AMg6M at certain strain rates at room temperature are presented. Diagrams of deformation under uniaxial tension, shear, proportional and disproportionate loading of specimens were obtained. The inhomogeneity of strain fields and their rates is shown, illustrating the manifestation of the Portevin – Le Chatelier effect under conditions of complex loading of thin-walled tubular specimens made of AMg6M alloy. A brief overview of existing methods and means of non-destructive testing is presented that make it possible to non-contactly record the spatial heterogeneity of plastic yielding. Some possibilities of using the wavelet transform to process certain types of non-monotonic stress-strain diagrams obtained for the specimens made of the aluminum alloy in question are discussed. Using wavelet analysis, a compact presentation of data from field experiments in the form of amplitude-frequency characteristics was obtained. The scalograms analysis of specimen loading diagrams was carried out.
利用小波变换处理非连续塑性变形效应实验研究数据
大量的理论和实验工作致力于研究不连续塑性变形(波特文-勒夏特列效应),这种现象在某些温度和应变率范围内对大多数广泛使用的合金都有影响。由于这种现象具有统计性质,因此在处理、定性分析和定量比较试验结果和计算结果时会遇到困难。使用统计方法只能获得所获数据的一些平均特征(通常是振幅和频率的一阶和二阶矩)。处理该效应研究的实验和理论结果的一个可行替代方法是使用小波分析。本文介绍了波特文-勒夏特列效应的实验研究结果,该实验是在室温下,铝合金 AMg6M 薄壁管状试样在一定应变速率下发生变形时实现的。研究人员获得了试样在单轴拉伸、剪切、比例加载和非比例加载下的变形示意图。图中显示了应变场及其速率的不均匀性,说明了 AMg6M 合金薄壁管状试样在复杂加载条件下波特文-勒夏特列效应的表现。本文简要介绍了现有的非破坏性测试方法和手段,这些方法和手段可以非接触方式记录塑性屈服的空间异质性。还讨论了使用小波变换处理铝合金试样获得的某些类型的非单调应力-应变图的可能性。利用小波分析,以振幅-频率特性的形式紧凑地呈现了现场实验数据。对试样加载图进行了 scalograms 分析。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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