摘要
为了用较少的参数准确描述黏弹材料的应力松弛行为,唯象地解释松弛速率与应力的幂律关系,用一个假塑性黏壶与一个弹簧串联,得到改进的Maxwell模型。用改进的Maxwell模型与一个弹簧并联,给出改进的Zener模型。取定应变时,可以推导出松弛速率与应力满足幂律关系。求解本构方程,可得到应力松弛函数。结果表明,幂律型松弛可视为改进后模型的解。此外,幂律函数的指数与反映材料非线性强弱的参数建立了关系。可以证明Debye型松弛是幂律型松弛的一种极限情况。用改进的模型对聚异丁烯的实验数据进行了研究。结果表明,拟合过程简单,结果准确。
To accurately describe the stress relaxation behavior of viscoelastic materials with fewer parameters and phenomenologically explain the power-law relationship between the relaxation rate and stress,the modified Maxwell model was developed by using the series connection of a pseudoplastic dashpot and a spring.After exploiting the parallel connection of a modified Maxwell model and a spring,the modified Zener model was proposed.With a constant strain,the power-law relationship between relaxation rate and stress was deduced.By solving the constitutive equation,the relaxation functions were obtained.The results show that the power-law relaxation can be seen as the behavior of the modified models.Moreover,the relationship between the index of power-law function and the parameter denoting material non-linearity is built.It is proved that the Debye relaxation is the limit case of power-law relaxation.The modified model was used on polyisobutylene.The fitting procedure was simple and the result was accurate.
作者
康永刚
张秀娥
KANG Yong-gang;ZHANG Xiu-e(Institute of Disaster Prevention,Sanhe 065201,China)
出处
《科学技术与工程》
北大核心
2020年第36期14791-14795,共5页
Science Technology and Engineering
基金
中央高校基本科研业务费专项资金(青年教师资助计划)(ZY20150206)
防灾科技学院教学研究与教学改革项目(JY2019B03,JY2016B16,JY2017A04)。
