{"title":"Localized Plasticity Pattern at the Prefracture Stage: Origin and Development","authors":"L. B. Zuev, Yu. A. Khon","doi":"10.1134/S1029959924010053","DOIUrl":null,"url":null,"abstract":"<p>A pattern of macroscopic deformation bands with a characteristic size of ~10 mm was revealed experimentally in a uniaxially deformed sample at the prefracture stage prior to macroscopic necking. The bands moved at different velocities to the place of subsequent necking. The observed banding pattern in the deformed medium was described using two identified dynamic order parameters, which are the amplitudes of unstable plastic and elastic deformation modes. The change in the dynamic order parameters was described by a system of two coupled nonlinear parabolic equations. Analysis of solutions to the equations revealed the conditions for the formation and development of the found pattern at the prefracture stage.</p>","PeriodicalId":726,"journal":{"name":"Physical Mesomechanics","volume":"27 1","pages":"49 - 56"},"PeriodicalIF":1.8000,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Mesomechanics","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1134/S1029959924010053","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
引用次数: 0
Abstract
A pattern of macroscopic deformation bands with a characteristic size of ~10 mm was revealed experimentally in a uniaxially deformed sample at the prefracture stage prior to macroscopic necking. The bands moved at different velocities to the place of subsequent necking. The observed banding pattern in the deformed medium was described using two identified dynamic order parameters, which are the amplitudes of unstable plastic and elastic deformation modes. The change in the dynamic order parameters was described by a system of two coupled nonlinear parabolic equations. Analysis of solutions to the equations revealed the conditions for the formation and development of the found pattern at the prefracture stage.
摘要 通过实验发现，在宏观缩颈之前的预压缩阶段，单轴变形样品中存在特征尺寸为 ~10 mm 的宏观变形带。变形带以不同的速度移动到随后缩颈的位置。在变形介质中观察到的带状模式是用两个确定的动态阶次参数来描述的，这两个参数是不稳定塑性和弹性变形模式的振幅。动态阶次参数的变化由两个耦合非线性抛物线方程系统描述。对方程解的分析揭示了在预压裂阶段形成和发展所发现模式的条件。
期刊介绍：
The journal provides an international medium for the publication of theoretical and experimental studies and reviews related in the physical mesomechanics and also solid-state physics, mechanics, materials science, geodynamics, non-destructive testing and in a large number of other fields where the physical mesomechanics may be used extensively. Papers dealing with the processing, characterization, structure and physical properties and computational aspects of the mesomechanics of heterogeneous media, fracture mesomechanics, physical mesomechanics of materials, mesomechanics applications for geodynamics and tectonics, mesomechanics of smart materials and materials for electronics, non-destructive testing are viewed as suitable for publication.
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