论文标题
应变诱导的聚合物结晶的连续机械建模
Continuum Mechanical Modeling of Strain-Induced Crystallization in Polymers
论文作者
论文摘要
目前的贡献着重于未填充聚合物中应变诱导的结晶的热力学一致的机械模型。这种现象对于聚合物及其制造和应用的机械性能尤其重要。开发的模型使用了耗散电位的最小值的原理，并假定了两个内部变量：由于结晶和网络的规律性而引起的变形。除了进化方程的推导所需的耗散潜力外，还选择了良好的Arruda-Boyce模型来描述聚合物的弹性行为。该模型的两个特殊特征是进化方向，具体取决于应力状态以及在加载和卸载阶段的结晶区别。该模型已被实施到有限元方法中，并应用于对具有不同初始配置的样品的环状张力测试期间对晶体区域的生长和收缩的数值模拟。该概念使微观结构演化的可视化能够可视化，从而产生了通过实验技术无法访问的信息。
The present contribution focuses on the thermodynamically consistent mechanical modeling of the strain-induced crystallization in unfilled polymers. This phenomenon is of particular importance for the mechanical properties of polymers as well as for their manufacturing and the application. The model developed uses the principle of the minimum of dissipation potential and assumes two internal variables: the deformations due to crystallization and the regularity of the network. In addition to the dissipation potential necessary for the derivation of evolution equations, the well-established Arruda-Boyce model is chosen to depict the elastic behavior of the polymer. Two special features of the model are the evolution direction depending on the stress state and the distinction of crystallization during the loading and unloading phase. The model has been implemented into the finite element method and applied for numerical simulation of the growth and shrinkage of the crystal regions during a cyclic tension test for samples with different initial configurations. The concept enables the visualization of the microstructure evolution, yielding information that is still inaccessible by experimental techniques.
