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首页> 外文期刊>Journal of the Mechanics and Physics of Solids >Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions
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Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions

机译：具有不同机电裂纹条件的压电和铁电材料中裂纹扩展的相场模拟

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摘要

We present a family of phase-field models for fracture in piezoelectric and ferroelectric materials. These models couple a variational formulation of brittle fracture with, respectively, (1) the linear theory of piezoelectricity, and (2) a Ginzburg-Landau model of the ferroelectric microstructure to address the full complexity of the fracture phenomenon in these materials. In these models, both the cracks and the ferroelectric domain walls are represented in a diffuse way by phase-fields. The main challenge addressed here is encoding various electromechanical crack models (introduced as crack-face boundary conditions in sharp models) into the phase-field framework. The proposed models are verified through comparisons with the corresponding sharp-crack models. We also perform two dimensional finite element simulations to demonstrate the effect of the different crack-face conditions, the electromechanical loading and the media filling the crack gap on the crack propagation and the microstructure evolution. Salient features of the results are compared with experiments.2100-2126
机译：我们提出了压电和铁电材料断裂的一系列相场模型。这些模型分别用（1）压电线性理论和（2）铁电微结构的Ginzburg-Landau模型将脆性断裂的变型公式耦合起来，以解决这些材料中断裂现象的全部复杂性。在这些模型中，裂纹和铁电畴壁均通过相场以扩散方式表示。这里要解决的主要挑战是将各种机电裂纹模型（在尖锐模型中作为裂纹面边界条件引入）编码到相场框架中。通过与相应的尖锐裂纹模型进行比较，验证了所提出的模型。我们还进行了二维有限元模拟，以证明不同裂纹面条件，机电载荷和填充裂纹间隙的介质对裂纹扩展和微观组织演变的影响。将结果的显着特征与实验进行比较。2100-2126

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