A phase field model for electromechanical fracture in flexoelectric solids
A phase field model for electromechanical fracture in flexoelectric solids
复制标题
挠电固体中机电断裂的相场模型
DOI：
10.1016/j.engfracmech.2022.108564
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发表时间：
2022-06
影响因子：
5.4
通讯作者：
Luo Jun
中科院分区：
文献类型：
--
作者：
Zhang Baiwei;Luo Jun
•建立了柔性电固体中机电断裂的PF模型。•通过基准数值算例对PF模型进行了验证。•挠曲电效应对断裂行为有很大影响。PF模型可以模拟柔性电固体的复杂断裂行为。挠曲电性描述了形变梯度和电极化之间的机电耦合，由于裂纹尖端附近存在较大的应变梯度，因此挠曲电性对压电材料的断裂行为起着重要作用。在本文中，为了研究这种影响，建立了脆性挠性电固体中机电断裂的相场（PF）模型，其中裂纹表面假设为电不渗透或电渗透。在两种裂纹表面条件下，PF模型的损伤驱动力均由非负能量耗散率导出，其中将机械部件视为裂纹演化的驱动力。提出了一种机械驱动力分解方法来表征拉伸和压缩作用下的不对称断裂行为。用有限元法对控制方程进行了数值求解。有限元公式通过用户自定义子程序UEL在Abaqus中实现。通过对基准问题的研究，验证了该模型及其数值实现。仿真结果表明，该模型能较好地表征挠性电效应，预测挠性电固体中复杂裂纹的扩展路径。此外，数值结果表明，负外加电场是促进裂纹扩展还是延缓裂纹扩展与电场强度和挠曲电系数密切相关，这可以调和以往实验研究中观察到的矛盾现象。本文详细讨论了外加电场和长度尺度参数对柔性电固体机电断裂行为的影响以及尺寸效应。
• A PF model is developed for electromechanical fracture in flexoelectric solids. • The PF model is validated through benchmark numerical examples. • The flexoelectric effect can have great influences on the fracture behavior. • The PF model can simulate complex fracture behaviors of flexoelectric solids. Flexoelectricity describes the electromechanical coupling between the stain gradient and the electric polarization, which can play an important role in the fracture behavior of piezoelectrics since large strain gradients exist near the crack tip. In this paper, in order to investigate this effect, a phase field (PF) model is developed for electromechanical fracture in brittle flexoelectric solids, where the crack surfaces are assumed to be either electrically impermeable or electrically permeable. The damage driving force of the PF model is derived from the non-negative energy dissipation rate for both kinds of crack surface conditions, where the mechanical part is regarded as the driving force for the crack evolution. A decomposition method of the mechanical driving force is proposed to characterize the asymmetric fracture behavior under tension and compression. The governing equations are solved numerically with finite element method. The finite element formulation is implemented in Abaqus through the user defined subroutine UEL. The PF model and its numerical implementation are validated by studying benchmark problems. The simulation results indicate that the proposed PF model can well characterize the flexoelectric effect and predict complex crack propagation paths in flexoelectric solids. In addition, the numerical results show that whether a negative applied electric field promotes the crack propagation or retard the crack propagation is closely related to the electric field strength and the flexoelectric coefficients, which can reconcile the contradictory phenomena observed in previous experimental studies. The influences of the applied electric field and the length scale parameters on the electromechanical fracture behavior of flexoelectric solids as well as the size effect are discussed in detail in the paper.
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影响因子：
5.3
作者：
Hanqing Jiang;Yonggang Huang;Z. Zhuang;K. Hwang
通讯作者：
Hanqing Jiang;Yonggang Huang;Z. Zhuang;K. Hwang
影响因子：
2.5
作者：
Zachary A. Wilson;Michael J. Borden;C. Landis
通讯作者：
Zachary A. Wilson;Michael J. Borden;C. Landis
DOI：
10.1016/s0045-7825(01)00353-x
发表时间：
2002-01-01
影响因子：
7.2
作者：
Amanatidou, E;Aravas, N
通讯作者：
Aravas, N
影响因子：
2.7
作者：
Yonggang Huang;Zhenyu Xue;Huajian Gao;W. Nix;Z. Xia
通讯作者：
Yonggang Huang;Zhenyu Xue;Huajian Gao;W. Nix;Z. Xia
影响因子：
3.7
作者：
Majdoub, M. S.;Sharma, P.;Cagin, T.
通讯作者：
Cagin, T.