论文标题
由应变诱导的结晶引起的微观结构演化的热机械模型
Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced Crystallization
论文作者
论文摘要
目前的贡献涉及未填充聚合物中应变诱导的结晶的热机械建模。这种现象显着影响聚合物的机械和热性能，并且在计划制造过程以及最终产品的应用时必须考虑。为了同时捕获这两种效果，该模型首先引入变形梯度的三重分解，此外，还使用热力学框架来基于Coleman的材料建模 - 基于Coleman的材料建模 - 耗散势的最低原理，需要适合Helmholtz Free Enprol势和销售势能。所选的设置产生的演化方程能够模拟在环状拉伸试验中伴随着温度变化的晶体区域的形成和降解。与所述过程相对应的边界值问题包括线性动量和能量平衡的平衡，并作为FEM代码中数值实现的基础。 〜纸张以数值示例闭合，显示了不同材料样品的微观结构演化和温度分布。
The present contribution deals with the thermomechanical modeling of the strain-induced crystallization in unfilled polymers. This phenomenon significantly influences mechanical and thermal properties of polymers and has to be taken into consideration when planning manufacturing processes as well as applications of the final product. In order to simultaneously capture both kinds of effects, the model proposed starts by introducing a triple decomposition of the deformation gradient and furthermore uses thermodynamic framework for material modeling based on the Coleman--Noll procedure and minimum principle of the dissipation potential, which requires suitable assumptions for the Helmholtz free energy and the dissipation potential. The chosen setup yields evolution equations which are able to simulate the formation and the degradation of crystalline regions accompanied by the temperature change during a cyclic tensile test. The boundary value problem corresponding to the described process includes the balance of linear momentum and balance of energy and serves as a basis for the numerical implementation within an FEM code. The~paper closes with the numerical examples showing the microstructure evolution and temperature distribution for different material samples.
