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Mullins' effect and damage accumulation in perfluoroelastomers

机译：Mullins在全氟弹性体中的作用和损伤累积

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Purpose - The purpose of this paper is to develop a constitutive model in cyclic viscoplasticity of perfluoroelastomers that accounts for the Mullins effect and to determine adjustable parameters in the stress-strain relations by fitting observations in mechanical tests.Design/methodology/approach - A perfluoroelastomer with a complicated internal structure is modeled as an equivalent incompressible, permanent, non-affine network of chains with constrained mobility. Its viscoplastic response at finite strains is treated as sliding of junctions between chains with respect to their reference positions. Damage accumulation is associated with acceleration of plastic flow of junctions driven by growth of free volume. Stress-strain relations are derived by using the Clausius-Duhem inequality.Findings - Constitutive equations are developed that correctly describe the mechanical behavior of perfluoroelastomers under cyclic loading with stress- and strain-controlled deformation programs and arbitrary numbers of cycles. Adjustable parameters in the stress-strain relations are found by matching experimental data in uniaxial tensile tests. Numerical simulation demonstrates that the model adequately predicts characteristic features of the Mullins effect. Originality/value - A constitutive model is derived that can be applied for description of the viscoplastic response in perfluoroelastomers at cyclic loading with complicated deformation programs and prediction of their time to failure under fatigue conditions.
机译：目的-本文的目的是建立全氟弹性体的循环粘塑性本构模型，该模型考虑了穆林斯效应，并通过在机械测试中进行观测来确定应力-应变关系中的可调参数。设计/方法/方法-一种全氟弹性体具有复杂内部结构的模型被建模为具有受约束的运动性的等效的不可压缩，永久性，非仿射链网络。它在有限应变下的粘塑性响应被视为链之间的连接相对于参考位置的滑动。损伤累积与自由体积增长驱动的连接处塑性流加速有关。通过使用Clausius-Duhem不等式推导应力-应变关系。发现-建立了本构方程，该方程可正确描述全氟弹性体在循环载荷下的力学行为，并具有受应力和应变控制的变形程序和任意数量的循环。通过匹配单轴拉伸试验中的实验数据，可以找到应力-应变关系中的可调参数。数值模拟表明，该模型可以充分预测穆林斯效应的特征。原创性/价值-得出一个本构模型，该模型可用于描述全氟弹性体在循环载荷下具有复杂变形程序的粘塑性响应，并预测其在疲劳条件下的破坏时间。

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