论文标题
铁电本构建模的变化不平等
Variational inequalities for ferroelectric constitutive modeling
论文作者
论文摘要
本文涉及对铁电介质中的极化过程进行建模。我们基于自由能的现象学描述以及不平等形式的开关和饱和条件，开发了热力学一致的模型。热力学一致的模型自然会导致各种配方。我们建议使用变分不平等的概念。我们旨在将不同的现象学条件结合到一个变异不平等中。在我们的公式中，我们在每个条件（域切换和饱和的开始）中使用一个Lagrange乘法器，每个条件都满足Karush-Kuhn-Tucker条件。然后，在一般非线性的迭代中，计算可逆和剩余数量的更新。
This paper is concerned with modeling the polarization process in ferroelectric media. We develop a thermodynamically consistent model, based on phenomenological descriptions of free energy as well as switching and saturation conditions in form of inequalities. Thermodynamically consistent models naturally lead to variational formulations. We propose to use the concept of variational inequalities. We aim at combining the different phenomenological conditions into one variational inequality. In our formulation we use one Lagrange multiplier for each condition (the onset of domain switching and saturation), each satisfying Karush-Kuhn-Tucker conditions. An update for reversible and remanent quantities is then computed within one, in general nonlinear, iteration.
