Phase field fracture model of transversely isotropic piezoelectric materials with thermal effect

Tan, Yiling; He, Yuxiang; Liu, Chang; Li, Xiangyu

doi:10.1016/j.engfracmech.2022.108479

Cited by 15 publications

(11 citation statements)

References 51 publications

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“…Generally, an anisotropic crack surface density function needs to be introduced to accurately capture the fracture behavior of anisotropic materials (Sridhar and Keip 2019;Tan et al 2022a). It has been reported that using an isotropic model provides a more straightforward formulation for capturing the mechanical behaviors (Tan et al 2022b) compared with the anisotropic model. In actuality, the fracture energy function described in Eq.…”

Section: Governing Equationsmentioning

confidence: 99%

“…The top edge undergoes displacement loading in the X3-direction, accompanied by the application of an electric potential of   . Tan et al (Tan et al 2022b) investigated this particular case in the framework of small deformation, focusing on brittle piezoelectric material BaTiO3. The material parameters utilized in this work are consistent with the literature (Tan et al 2022b), as listed in Table 1.…”

Section: Single-edge Notched Tension Testmentioning

confidence: 99%

“…According to the different stop or coverage criteria, staggered algorithms can be classified into singlepass (Liu et al 2022;Molnár and Gravouil 2017), damage-based (Amor et al 2009), energy-based (Ambati et al 2015), and residual-based (Seleš et al 2019;Tan et al 2022a;Tan et al 2022b) criteria.…”

Section: Staggered Algorithmmentioning

confidence: 99%

“…However, previous investigations have predominantly focused on brittle piezoelectric materials, assuming small deformations. While this approximation is reasonably valid for materials like Lead Zirconate Titanate (PZT) (Fan et al 2016) and Barium Titanate (BaTiO3) (Tan et al 2022b), it may not adequately capture the behavior of flexible piezoelectrics. In general, flexible piezoelectrics exhibit significant failure strain and undergo finite deformation upon fracture.…”

Section: Introductionmentioning

confidence: 99%

“…This enables a deeper understanding of the fracture behavior of the material. Various numerical methods are employed to solve fracture problems (Buehler 2024;Dankowicz and Chiu 2023;Jin et al 2023), such as singular element (Wang et al 2023), cohesive zone (Zhang and Luo 2022), extended finite element (Tan et al 2022b), and phase field (Gao et al 2022;Miehe et al 2010a;Wilson et al 2013) methods. Among these, the phase field method has proven to be particularly effective.…”

Section: Introductionmentioning

confidence: 99%

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Phase field fracture modelling of flexible piezoelectric materials considering different electrical boundary conditions

Lv,

Li,

Shi

et al. 2024

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Flexible piezoelectric materials have gained considerable attention due to their remarkable properties, including electromechanical coupling and high stretchability. These materials have found extensive applications in the field of flexible electronic devices. However, the issue of fracture in flexible piezoelectrics cannot be ignored. In general, these flexible/stretchable materials experience fractures when subjected to significant deformation. While previous studies have primarily focused on fracture problems of brittle piezoelectric materials with low failure strain. There is a need to investigate the fracture behavior of flexible piezoelectrics with finite deformation. Within the framework of the phase field method, this work addresses the fracture of flexible piezoelectrics utilizing a nonlinear electromechanical material model. To solve the coupled governing equations, a residual controlled staggered algorithm (RCSA) is employed in the user element subroutine of commercial software ABAQUS. By utilizing the phase field method and a nonlinear electromechanical material model, this study provides insights into the fracture mechanisms and the effects of various factors on the fracture behavior of these materials. Specifically, the effects of external electric fields, displacements, and various electrical boundary conditions across the crack are investigated. This research contributes to a better understanding of flexible piezoelectric materials and can aid in the development of strategies to enhance their fracture resistance and durability in practical applications.

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Section: Governing Equationsmentioning

confidence: 99%

Section: Single-edge Notched Tension Testmentioning

confidence: 99%