Geometric Propagation Model of the Lateral Rarefaction Wave Under Ideal and Non-ideal Flat Plate Impact

IF 2.6 3区工程技术 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY

Acta Mechanica Solida Sinica Pub Date : 2026-01-15 DOI:10.1007/s10338-025-00699-1

Jingtian Ma, Qiguang He, Xiaowei Chen

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引用次数: 0

Abstract

In the flat plate impact experiment, lateral rarefaction waves (LRWs) form when stress waves pass through the side free surface (SFS). These waves alter material response by disrupting one-dimensional strain conditions, thereby affecting spallation behavior and measurement accuracy. This study establishes a geometric propagation model (GPM) based on elastic wave reflection theory to characterize LRW formation and evolution in flat plate impact. Results identify the shape of LRWs whose positions and morphologies are well predicted by the proposed model. Furthermore, systematic investigation of yaw impacts reveals that flyer inclination directly modulates the LRW-affected zone and measurable velocity range. The derived side relaxation angle formula quantifies the relationship between wavefront inclination and impact geometry. It enables indirect measurement of wave velocity, prediction of edge spallation, and determination of optimal measurement boundaries, enhancing experimental design in impact dynamics.

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理想与非理想平板碰撞下横向稀疏波的几何传播模型

在平板冲击实验中，当应力波通过侧面自由表面时，会形成侧向稀疏波。这些波通过破坏一维应变条件来改变材料响应，从而影响散裂行为和测量精度。本文建立了基于弹性波反射理论的几何传播模型（GPM）来表征平板碰撞中LRW的形成和演化。结果确定了LRWs的形状，其位置和形态可以通过所提出的模型很好地预测。此外，对偏航影响的系统研究表明，飞片倾角直接调节lrw影响区域和可测量速度范围。导出的侧松弛角公式量化了波前倾角与冲击几何形状之间的关系。它可以间接测量波速，预测边缘剥落，确定最佳测量边界，增强冲击动力学的实验设计。

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来源期刊

Acta Mechanica Solida Sinica 物理-材料科学：综合

CiteScore

3.80

自引率

9.10%

发文量

1088

审稿时长

9 months

期刊介绍： Acta Mechanica Solida Sinica aims to become the best journal of solid mechanics in China and a worldwide well-known one in the field of mechanics, by providing original, perspective and even breakthrough theories and methods for the research on solid mechanics. The Journal is devoted to the publication of research papers in English in all fields of solid-state mechanics and its related disciplines in science, technology and engineering, with a balanced coverage on analytical, experimental, numerical and applied investigations. Articles, Short Communications, Discussions on previously published papers, and invitation-based Reviews are published bimonthly. The maximum length of an article is 30 pages, including equations, figures and tables