摘要
An approach with statistical mechanics and a unified molecular theory of non-linearviscoelasticity with constraints of Gaussian chain entanglement for polymer melts were proposed.Amultimode model structure for a single polymer chain with tail segments and N reversibleentanglement sites on the test polymer chain was developed.The probability distribution function ofthe end-to-end vector for a single polymer chain at entangled state and the viscoelastic free energyof deformation for polymer melts were calculated.Four types of stress-strain relationship and mem-ory function were derived from this theory.The above theoretical relationships were verified by experi-mental data of PS(polystyrene)and LDPE(low density polyethylene)melts.
An approach with statistical mechanics and a unified molecular theory of non-linear viscoelasticity with constraints of Gaussian chain entanglement for polymer melts were proposed. A multimode model structure for a single polymer chain with tail segments and N reversible entanglement sites on the test polymer chain was developed. 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. Four types of stress-strain relationship and memory function were derived from this theory. The above theoretical relationships were verified by experimental data of PS (polystyrene) and LDPE (low density polyethylene) melts.
基金
This work was supported by the National Natural Science Education Committee Foundation of China and the National Natural Science Foundation of China
