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Non-linear constitutive model of rubber mix

机译:橡胶混合物的非线性本构模型

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摘要

A new unvulcanizated rubber constitutive equation is set up to describe its mechanical properties: yield stress and shear-thinning effect. In this model, every term or every coefficient has explicit physical meaning, reflecting the viscoelastic phenomena of unvulcanizated rubbers. The equation indicates that the yield stress is one of the main causes for the shear-thinning effect. It reveals why some materials possess double newtonian regions and prove that the shear viscosity in the first region is higher than that in the second. It is born out why the flow index of power-law fluid model varies widely so that the yield stress should be eliminated when the power-law fluid model is applied. It can also distinguish the true shear viscosity from the apparent shear viscosity effectively. The parameters of the equation are determined by the step fitting method, which is the precondition of quantitative analysis. However, the equation is a 1D model, so further research is needed.
机译:建立了一个新的未硫化橡胶本构方程来描述其机械性能:屈服应力和剪切稀化效应。在此模型中,每个术语或每个系数都具有明确的物理含义,反映了未硫化橡胶的粘弹性现象。该方程表明屈服应力是剪切变稀效应的主要原因之一。它揭示了为什么某些材料具有双重牛顿区域,并证明了第一个区域的剪切粘度高于第二个区域。可以理解为什么幂律流体模型的流动指数变化很大,因此在应用幂律流体模型时应消除屈服应力。它还可以有效地区分真实剪切粘度和表观剪切粘度。方程的参数通过逐步拟合法确定,这是定量分析的前提。但是,该方程是一维模型,因此需要进一步研究。

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