蜂窝纸板一维动态本构关系及应用  

One-dimension constitutive relationship and its application for honeycomb paperboard

作　　者：卢富德[1] 高德[1] 

机构地区：[1]浙江大学宁波理工学院,浙江宁波315100

出　　处：《振动工程学报》2016年第1期38-44,共7页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(11402232);宁波市自然科学基金资助项目(2015A610092)

摘　　要：为了在蜂窝纸板一维压缩应力-应变曲线基础上建立其一维本构关系,首先得到蜂窝纸板在应变率0.0017/s^114.3/s范围内的试验压缩行为。试验结果表明蜂窝纸板呈现较强的率相关性,这是由于蜂窝结构的横向惯性作用引起的。基于最低应变率0.0017/s压缩载荷下的应力-应变数据,提出了形状函数,用于精确拟合蜂窝纸板应力-应变曲线所表现的线弹性、应力软化、屈服平台和压实等四个典型特征。然后在形状函数的基础上,考虑应变率的影响,得到蜂窝纸板一维动态本构关系。最后研究了易损件-产品主体-蜂窝纸板缓冲系统在跌落冲击载荷下的冲击响应,得到缓冲系统的最大加速度-静应力曲线,所得出的结论可以直接用于具有易损件物品的缓冲设计。A series of quasi-static and dynamic uniform compressive testes with the strain rates from 0.0017/s to 114.3/s are performed in order to establish constitutive relationship for honeycomb paperboard subjected to one-dimensional compressive loading condition.The experimental results show that the honeycomb paperboard exhibits obvious rate dependency,which is caused by lateral inertia effect of honeycomb structure.The shape function capturing relationship between stress and strain is proposed on the basis of the experimental data at the lowest strain rate of 0.0017/s,which can accurately characterize linear elastic,stress drop,yielding plateau and densification region of stress-strain curve of honeycomb paperboard.Then dynamic constitutive equation of honeycomb structure is obtained by considering the effect of strain rate on compressive behaviors based on the shape function.Finally,impact responses of cushioning system consisting of vulnerable components,main body of product and honeycomb paperboard are analyzed and the maximum acceleration-static stress curves are derived,which can provide guidance for cushioning packaging design of products comprising vulnerable components under the action of honeycomb paperboard.

关 键 词：蜂窝纸板 本构关系 应变率 易损件 最大加速度-静应力曲线 

分 类 号：TB485.1[一般工业技术—包装工程] O322[理学—一般力学与力学基础]