Abstract The addition of rigid fillers to an elastomeric matrix enhances its mechanical properties. This reinforcement effect is primarily due to a filler network structure in which polymer regions between aggregates play the principal role. In this study, a continuum constitutive equation is formulated for polymer behavior under strong confinement conditions. This behavior can be accounted for by a local glass transition temperature that combines the effects of physical interaction and stress softening in a unique viscoelastic formulation. The model reproduces, at a microscopic scale, the processes governing the Payne effect, including the temperature dependence of the viscoelastic behavior of the filled elastomer reinforcement.

中文翻译：

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基于迁移率降低物理学的填充弹性体的热机械建模

摘要 在弹性体基体中加入刚性填料可增强其机械性能。这种增强效应主要是由于填料网络结构，其中聚集体之间的聚合物区域起主要作用。在这项研究中，为聚合物在强限制条件下的行为制定了一个连续本构方程。这种行为可以通过局部玻璃化转变温度来解释，该温度在独特的粘弹性配方中结合了物理相互作用和应力软化的影响。该模型在微观尺度上再现了控制佩恩效应的过程，包括填充弹性体增强材料的粘弹性行为的温度依赖性。