首页|考虑材料应变率效应的冲击响应模型相似律研究

考虑材料应变率效应的冲击响应模型相似律研究

Comparability Rule of Impact Dynamic Responses Considering Strain Rate Effect in Materials

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目的 研究考虑材料应变率效应的冲击响应模型相似律,获得一个能够综合材料弹塑性和应变率效应的精确相似解,支撑工程领域的模型试验.方法 根据Buckingham Π定理,综合考虑材料的弹性、应变硬化和应变率效应,进一步推导了工程结构在冲击响应的模型相似律表达式.在此基础上,提出改变结构质量和冲击器速度来满足模型相似律的方法.结果 相比最近冲击模型相似律的研究中存在近似相似、迭代求解的缺陷,该方法是一个显式、完全精确的相似解,并且能够同时考虑材料的弹性、应变硬化和应变率效应.采用圆板撞击的有限元数值模型进行了验证.结论 推导出的模型相似律能够准确地预测原型的动态冲击的响应.相比而言,使用以往的相似方法具有明显的误差.
The work aims to investigate the comparability rule of impact dynamic responses considering strain rate effect in materials and obtain an accurate solution that can synthesize the elastic-plastic and strain rate effects of materials,to support the model test in engineering.Considering the elasticity,strain hardening effect and strain rate effect of materials,the comparability rule expressions of impact dynamic responses were derived based on Buckingham Π theorem.On this basis,the method of changing the structure mass and impactor velocity to satisfy the similar conditions of the model was proposed.Compared with the recent model comparability rules with the weakness of approximate similarity and iterative solution,the proposed compara-bility rule was a direct and accurate solution and further took both the elastic-plastic and strain rate effects of materials into ac-count.The numerical model of circular plate under impactor was used for verification.The model derived can accurately predict the dynamic response of the prototype model.Comparatively,there are usually obvious prediction errors when previous similar methods are adopted.

strain ratemodel comparability rulesimilarityscalingimpactnormalized equation

王傲寒、王帅、李继承

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中国工程物理研究院总体工程研究所,四川 绵阳 621999

工程材料与结构冲击振动四川省重点实验室,四川 绵阳 621999

应变率 模型相似律 相似 缩比 冲击 模化方程

中国工程物理研究院院长基金自强项目四川省自然科学基金杰出青年科学基金项目国家国防科技工业局科研专项项目

YZJJZQ20230102023NSFSC1913KJSP2023020304

2024

装备环境工程
中国兵器工业第五九研究所 国防科技工业自然环境试验研究中心

装备环境工程

CSTPCD
影响因子:0.985
ISSN:1672-9242
年,卷(期):2024.21(4)
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