摘要
根据多重缠结模型和多重蠕动机理．用统计力学和动力学相结合的方法．建立了具有缠结限制作用的非线性粘弹性分子理论，计算了处于多重缠结态高分子链的构象统计．得到了高聚物熔体的粘弹性形变自由能，推导出了４种简单形变方式下的应力－应变关系、高分子流体的回忆函数、简单剪切流下的物料函数．推出了一种测定参数η０，ｎ’和ａ的新方法．从理论和实验上证实了非线性粘弹性理论的时间效应和形变影响是相互独立的．并以聚乙烯，聚丙烯和聚苯乙烯熔体的大量流变性能实验数据加以验证．结果证明，该理论能较好地预测高聚物熔体的非线性和线性粘弹性力学行为．
On basis or a multiple entanglement model an approach of statistical mechanics and a new molecular theory of non-linear viscoelasticity with constraints of Nagai chain entanglement for polymer melts were proposed. The probability distribution function of the end-to-end vector for a single polymer chain at entangled state and the viscoelastic free energy of deformation for polymer melts were calculated. The four types of stress-strain relation, the memory function and the steady shear flow material functions were derived from this theory. A new method to determine the parameters η0, n' and a was proposed. The theoritical and experimental results show that the strain and time response are separable. The above theoretical relations were verified by the experimental data for various polymer melts. These relations were found to be in good agreement with the experimental results.
出处
《北京化工大学学报（自然科学版）》
CAS
CSCD
北大核心
1995年第4期27-40,共14页
Journal of Beijing University of Chemical Technology(Natural Science Edition)
基金
国家自然科学基金
国家教委资助
关键词
流变性能
粘弹性分子理论
高分子熔体
rheological behavior
molecular theory of viscoelasticity
constitutive equation
material function
polymer melts
