Simplified mode solutions for final plastic deformation of circular plates under localized impulsive loading

IF 5.1 2区工程技术 Q1 ENGINEERING, MECHANICAL

International Journal of Impact Engineering Pub Date : 2025-05-19 DOI:10.1016/j.ijimpeng.2025.105397

Weizheng Xu, Yu Huang, Tong Li, Hao Tang, Yexun Li, Hua Fu, Xianxu Zheng

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Abstract

A general approach for constructing simplified mode solutions for final plastic deformation of circular plates under localized impulsive loading are derived. During construction, the initial modal velocity is calculated by the modal approximation technique. The average strain rate effect is considered by estimating the maximum strain rate field in a circular plate when one-half the initial modal kinetic energy has been dissipated. Once a deformation profile is given, the formula for calculating final plastic deformation considering strain rate effects will be obtained according to the conservation of energy. Firstly, the Bessel deformation profile is selected according to the field equation, the calculated results of the analytical solution are in good agreement with the experimental results. Then the influence of two commonly used parabolic and cosine deformation profiles on the final plastic deformation is discussed. According to the simplified mode solutions, three new dimensionless numbers are proposed, and effective fitting formulas for predicting the final dimensionless plastic deformation are established based on new dimensionless numbers according to a large amount of experimental data. Moreover, the new dimensionless numbers are compared with Nurick's dimensionless number in different loading scenarios to prove that the dimensionless number given in this paper is more reasonable. The research in this paper can provide some reference for the study and evaluation of the dynamic plastic response of circular plates under localized impulsive loading.

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局部脉冲载荷作用下圆板最终塑性变形的简化模态解

推导了局部脉冲载荷作用下圆板最终塑性变形简化模态解的一般构造方法。在施工过程中，采用模态近似技术计算初始模态速度。当初始模态动能耗散一半时，通过估计圆板的最大应变率场来考虑平均应变率效应。变形廓线确定后，根据能量守恒，可得到考虑应变率效应的最终塑性变形计算公式。首先，根据场方程选取贝塞尔变形剖面，解析解计算结果与实验结果吻合较好；然后讨论了两种常用的抛物线型和余弦型变形轮廓对最终塑性变形的影响。在简化模态解的基础上，提出了3个新的无量纲数，并根据大量实验数据建立了预测最终无量纲塑性变形的有效拟合公式。通过与Nurick的无量纲数在不同荷载情况下的比较，证明本文给出的无量纲数更为合理。本文的研究可为局部脉冲载荷作用下圆板动塑性响应的研究和评价提供一定的参考。

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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来源期刊

International Journal of Impact Engineering 工程技术-工程：机械

CiteScore

8.70

自引率

13.70%

发文量

241

审稿时长

52 days

期刊介绍： The International Journal of Impact Engineering, established in 1983 publishes original research findings related to the response of structures, components and materials subjected to impact, blast and high-rate loading. Areas relevant to the journal encompass the following general topics and those associated with them: -Behaviour and failure of structures and materials under impact and blast loading -Systems for protection and absorption of impact and blast loading -Terminal ballistics -Dynamic behaviour and failure of materials including plasticity and fracture -Stress waves -Structural crashworthiness -High-rate mechanical and forming processes -Impact, blast and high-rate loading/measurement techniques and their applications