The homogenization of viscoelastic composite materials gives rise to long-memory effects, reflected by the presence in the homogenized viscoelastic constitutive law of a delayed stress response expressed as a convolution integral involving the past material strain history. Computations reveal that the long-memory has the ability to delay or even absorb waves depending on the fraction of reinforcement and relative properties of the building phases with the composite. An approximation by a one-term Prony series of the computed spectrum of retardation times is shown to provide an accurate representation of the continuous spectrum of retardation times when simulating creep experiments. The long-memory effects entail shifts of the frequency band diagrams for both the natural and damped frequencies due to the presence of damping. Decreasing the effective retardation time of the composite leads to a faster attenuation of propagating longitudinal and shear waves.

粘弹性复合材料的均质化产生了长记忆效应，这反映在均质化粘弹性本构定律中，它表现为延迟应力响应，表示为涉及过去材料应变历史的卷积积分。计算表明，长记忆体具有延迟甚至吸收波的能力，这取决于复合材料的增强比例和建筑相的相对性能。显示了通过一阶Prony级数对延迟时间的计算谱进行近似，可以在模拟蠕变实验时提供延迟时间连续谱的准确表示。由于存在阻尼，长记忆效应会导致固有频率和阻尼频率的频带图发生偏移。