Using olivine LiFePO₄ as a model system, we study the existence of global solutions to a phase-field model with elasticity energy for Lithium-Ion batteries, which consists of a linear elasticity sub-system and nonlinear evolution equations for the order parameter and the lithium concentration. This model can be described the evolving microstructure for electrochemically induced phase transitions in electrochemical storage. Our numerical experiments are carried out to simulate the evolutions of lithium concentration and of phase interfaces for the model.

中文翻译：

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锂离子电池电化学感应相变的具有弹性能模型的弱解

使用橄榄石LiFePO ₄作为模型系统，我们研究了锂离子电池具有弹性能的相场模型的整体解的存在性，该模型由线性弹性子系统和阶数参数和阶跃非线性方程组成。锂浓度。该模型可以描述电化学存储中电化学诱导的相变的不断发展的微观结构。我们进行了数值实验，以模拟该模型的锂浓度和相界面的演变。