Dynamic fracture analysis in nonhomogeneous piezoelectric materials with a new domain-independent interaction integral. (December 2022)

• Record Type: Journal Article
• Authors: Zhu, Shuai; Yu, Hongjun; Wu, Xiaorong; Hao, Liulei; Shen, Zhen; Wang, Jianshan; Guo, Licheng
• Is Part Of: Theoretical and applied fracture mechanics. Volume 122(2022)
• Publication Date: 2022-12
• Subjects: Piezoelectric material -- Dynamic fracture -- Interaction integral (I-integral) -- Extended finite element method (XFEM) -- Nonhomogeneous -- Interface; Fracture mechanics -- Periodicals; 620.1126
• DOI: 10.1016/j.tafmec.2022.103614
• Languages: English
• ISSNs: 0167-8442

Abstract

Graphical abstract: Highlights: A domain-independence I-integral is proposed for dynamic fracture analysis of piezoelectric materials. The DII-integral is domain-independent for nonhomegeneous and multi-interface piezoelectric material. The amplitudes of the dynamic SIFs and EDIF are significantly affected by the polarization direction. The effects of the elastic stiffness, piezoelectric coefficient, dielectric permittivity and density on the dynamic IFs are shown. Abstract: In order to comprehend and forecast the dynamic fracture behaviors of piezoelectric materials, dynamic intensity factors (IFs) are crucial fracture parameters. It is a challenge to effectively calculate the dynamic IFs of the piezoelectric materials containing complicated elastic and/or electric interfaces. For piezoelectric materials with nonhomogeneous properties or even random interfaces, a dynamic domain-independent interaction integral (DII-integral) is established to assess the dynamic stress intensity factors (SIFs) and the dynamic electric displacement intensity factor (EDIF). Furthermore, it is theoretically demonstrated that random interfaces in the integration domain have no effect on the efficiency of the DII-integral and it does not include any derivatives of electromechanical characteristics. The extended finite element method (XFEM) is integrated with the dynamic DII-integral method to study typical cracked piezoelectric specimens exposed to electromechanical impact loads. A wonderful consistency is obtained by evaluating the current results with the relevant literature. Good domain-independence of the proposed dynamic I-integral is verified for nonhomogeneous and discontinuous piezoelectric properties (relative deviation < 1 %). The numerical simulations show the amplitudes of the dynamic SIFs and EDIF are highly affected by the polarization direction. In general, the density has an obvious influence on the peak occurrence time of the dynamic SIF and EDIF. The dielectric permittivity impacts the EDIF evidently, however, the SIF marginally. On the contrary, the piezoelectric coefficient obviously impacts the SIF and EDIF. The elastic stiffness has a considerable impact on the SIF but a minor one on the EDIF.