Correlation between polymer relaxation time and loading frequency based on LWLRA

Abstract

ABSTRACT In classical viscoelastic theory, phase difference between loading and viscoelastic solid response does not change if loading frequency remains constant. In our experiments, however, it was found that phase difference was gradually decreased as the number of stress cycles was increased. Using local weighted linear regression algorithm (LWLRA), experimental data were successfully analysed and phase difference values between loading and response were obtained. The relation between initial phase difference and loading frequency obeys power-law. Based on Maxwell viscoelastic model, the relationship between relaxation time and loading frequency was proposed, which could be described by a power function.