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.

摘要

在经典粘弹性理论中，如果加载频率保持不变，加载和粘弹性固体响应之间的相位差不会改变。然而，在我们的实验中，发现随着应力循环次数的增加，相位差逐渐减小。使用局部加权线性回归算法（LWLRA），成功地分析了实验数据，并获得了加载和响应之间的相位差值。初始相位差与加载频率之间的关系服从幂律。基于麦克斯韦粘弹性模型，提出了弛豫时间与加载频率的关系，可以用幂函数来描述。