期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 248, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2022.111615
关键词
Phase field fracture; Piezoelectric material; Anisotropic fracture toughness; Staggered algorithm
类别
资金
- National Natural Science Founda-tion of China [12072297, 12192210, 12192211]
- Key Project of the Science and Technology Department of Sichuan Province [2021YJ0003]
- Fundamental Research Funds for the Central Universities [2682021ZTPY056]
- Yanghua plan in Southwest Jiaotong University
A new phase field fracture model in the context of transversely isotropic electro-elasticity was developed to investigate the fracture behavior of piezoelectric materials, revealing the significant impact of anisotropic fracture toughness on crack path and fracture load. A phenomenological model for predicting fracture load was proposed based on the research findings.
Fracture analysis of piezoelectric devices and structures is of great importance in science and engineering. In the present work, a new phase field fracture model in the context of transversely isotropic electro-elasticity is developed by means of the variational method. A structural tensor is introduced in the crack surface density function to quantify the anisotropy in fracture toughness. To characterize the asymmetric fracture behavior of piezoelectric solid, the contribution of the mechanical energy is employed to drive the crack propagation. An efficient and robust staggered scheme is adopted to deal with the corresponding fracture problems, which is implemented in the commercial finite element software Abaqus. Numerical simulations are carried out to investigate the effect of the anisotropic fracture toughness, poling direction and external electrical field on the fracture behavior of the piezoelectric materials. The anisotropic fracture toughness would significantly affect the crack path and fracture load. With the help of the nonlinear regression method, a phenomenological model is proposed to predict the fracture load. The present researches may benefit the safety assessment of piezoelectric materials in practical applications.
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