The phase-field microelasticity theory of Khachaturyan has been widely applied in materials science that is based on the small strain assumption. Here we develop an incremental realization of inelastic deformation (IRID) algorithm to deal with finite/large deformation with yet small elastic strain. A large deformation process is decomposed into a sequence of small deformation processes with intervals. At each interval the grids are stretched to accommodate the average inelastic deformation and advection/rotation operations are performed to account for the heterogeneous inelastic deformation. It is shown that Kachaturyan’s Fourier-transform based solutions can be adapted to the stretched grids. The IRID algorithm is compared against literature results regarding growth of a single void under remote stress of different triaxialities. Based on the IRID algorithm a phase-field model is developed that incorporates material microstructure, plasticity, multicomponent diffusion, and surface and grain boundary diffusion. The void growth kinetics and morphology evolution under coupling of diffusion and plasticity under creep are studied and the results show that coupling of the two mechanisms can significantly accelerate growth and coalescence of multiple voids at grain boundaries.

哈恰图良的相场微弹性理论在基于小应变假设的材料科学中得到了广泛的应用。在这里，我们开发了一种增量实现非弹性变形 (IRID) 算法来处理具有小弹性应变的有限/大变形。一个大变形过程被分解为一系列具有间隔的小变形过程。在每个间隔，网格都被拉伸以适应平均非弹性变形，并且执行平流/旋转操作以解释异质非弹性变形。结果表明，Kachaturyan 的基于傅里叶变换的解决方案可以适应拉伸网格。将 IRID 算法与文献结果进行比较不同三轴性的远程应力。基于 IRID 算法，开发了一种相场模型，该模型结合了材料微观结构、塑性、多组分扩散以及表面和晶界扩散。研究了蠕变下扩散和塑性耦合下的空隙生长动力学和形貌演变，结果表明，两种机制的耦合可以显着加速晶界处多个空隙的生长和聚结。