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夹心杆系统中一维弹塑性波演化精细分析(Ⅱ):弹塑性交界面与平台段反射衰减OA北大核心CSTPCD

Meticulous analysis of one-dimensional elasto-plastic wave evolution in sandwich rod systems(part Ⅱ):reflection attenuation at the elasto-plastic interface and platform section

中文摘要英文摘要

相对于入射波加载阶段透反射分析过程,入射波平台段持续时间长且弹塑性传播与演化行为复杂得多,此阶段试件内弹塑性波相互作用的影响非常明显.开展了矩形入射波作用下试件内弹塑性波的相互作用及其在两个界面上的弹塑性透反射行为计算,定量研究了夹心杆系统中反射波的衰减特征.结果表明:强入射波作用下,由于弹塑性波相互作用,试件内形成了曲线型弹塑性交界面,使透射端达到屈服状态的时间明显提前,该弹塑性交界面以大于弹性声速的速度向反射端变速传播;在塑性阶段,反射波的衰减是试件截面积增大引起的广义波阻抗增大和压缩引起的塑性波往返次数增加两个方面导致的衰减量之和.计算显示,试件的密度变化虽然明显影响其波速和广义波阻抗,但两个方面引起的衰减量之和正好接近于零,使得密度变化对透反射波平台段变化的影响可以忽略;塑性模量的增大使得反射波在平台端衰减更快,而试件直径对反射波衰减速度的影响并不是单调的,从 4mm增大到 10 mm,反射波衰减速度增大,但增大到 12 mm后衰减量反而有所减小.研究结果可为分离式Hopkinson压杆试验透反射波形的深入分析以及精细化试验设计与数据处理提供参考.

Compared to the reflection and transmission analysis process during the incident wave loading phase,the incident wave plateau phase lasts longer,and the elastic-plastic propagation and evolution behavior are much more complex.The effects of elastic-plastic wave interactions within the specimen during this phase are very pronounced.Using the elastic-plastic incremental wave theory,combined with numerical simulation,the calculations of elastic-plastic wave's interactions inside the specimens under rectangular incident wave action and its elastic-plastic transmission and reflection behavior at the two interfaces are carried out.The attenuation characteristics of the reflected waves in the sandwich rod system are investigated.The results show that under strong incident wave action,the specimen internally forms a curve-shaped elastic-plastic interface due to the interactions of elastic-plastic waves.This causes the transmission end to reach the yield state significantly earlier.This elastic-plastic interface propagates towards the reflection end at a speed greater than the elastic sound speed.The attenuation of the reflected wave during the plastic phase is the sum of the increase in generalized wave impedance due to the increase in the specimen's cross-sectional area and the increase in the number of back-and-forth plastic waves caused by compression.Calculations also show that although the change of the specimen density significantly affects its wave speed and wave impedance,the sum of the attenuations caused by these two factors is close to zero.Hence,the effect of density changes on the transmission and reflection wave plateau phase can be ignored.An increase in the plastic modulus causes the reflection wave plateau to attenuate faster,but the effect of the specimen's diameter is not monotonous.When it increases from 4 mm to 10 mm,the reflection wave attenuation speed increases,but when it further increases to 12 mm,the attenuation amount decreases.This study has certain reference value for in-depth analysis of split Hopkinson pressure bar test for the transmission waveforms as well as for the detailed test design and data processing.

高光发

南京理工大学机械工程学院,江苏 南京 210094

力学

分离式Hopkinson压杆弹塑性交界面应力衰减反射波透射波广义波阻抗

split Hopkinson pressure barelastic-plastic interfacestress attenuationreflected wavetransmitted wavegeneralized wave impedance

《爆炸与冲击》 2024 (008)

120-130 / 11

国家自然科学基金(12172179,U2341244,11772160)

10.11883/bzycj-2023-0392

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