提取和分析金属玻璃塑性变形的调控模型

IF 2.8 3区 工程技术 Q2 MECHANICS International Journal of Non-Linear Mechanics Pub Date : 2024-08-22 DOI:10.1016/j.ijnonlinmec.2024.104869
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引用次数: 0

摘要

本文首先通过稀疏识别从金属玻璃的塑性变形中检测出隐藏系统。提取的模型模拟了四种类型的应力-时间曲线,并显示了锯齿状事件的预测结果。这种解释有效地解释了反复屈服的各种实验现象。此外,在对模型进行参数敏感性分析时,以两个参数作为分岔参数,通过对一维分岔和二维分岔的分析,挖掘出动态转变的原因,包括鞍节点分岔、霍普夫分岔、波格丹诺夫-塔肯斯分岔和尖顶分岔。不同的分岔点对应不同类型的应力-时间曲线。为显示模型动力学的多样性,还给出了包括周期轨道、不稳定轨道和混沌行为在内的同源相图。除了动态分析之外,还应用了塑性值统计分析来挖掘周期性和混沌塑性动态转换之间的交叉。我们的研究结果从动态模型的角度为金属玻璃的变形提供了一个新的视角,对于评估金属玻璃在实际应用中的塑性变形特性也具有重要意义。
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Extracting and analyzing the governing model for plastic deformation of metallic glasses

This paper first detects hidden system from plastic deformation of metallic glasses by sparse identification. The extracted model simulates four types of stress-time curves and displays the prediction of serrated events. This interpretation effectively explains various experimental phenomena of repeated yielding. Further, in terms of parametric sensitivity analysis to the model, two parameters are taken as bifurcation parameter, and the analysis of codimension-one and codimension-two bifurcation are carried out to excavate the causes of dynamic transformation, including saddle–node bifurcation, Hopf bifurcation, Bogdanov–Takens bifurcation and cusp bifurcation. Different bifurcation points correspond different types of stress-time curves. The homologous phase diagrams including periodic orbit, unstable orbit and chaotic behavior are presented to show the dynamics diversity of the model. In addition to dynamic analysis, statistical analysis for plasticity values is also applied to excavate the crossover between periodic and chaotic plastic dynamic transitions. Our results provide a novel perspective on the deformation of metallic glasses from the viewpoint of dynamic model and are also important for evaluating the plastic deformation properties of metallic glasses in practical applications.

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来源期刊
CiteScore
5.50
自引率
9.40%
发文量
192
审稿时长
67 days
期刊介绍: The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.
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