ANALYSIS OF ELLIPTICAL CRACK IN PIEZOELECTRIC MATERIALS WITH THE EXTENDED FINITE ELEMENT METHOD

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• 英文论文题名：ANALYSIS OF ELLIPTICAL CRACK IN PIEZOELECTRIC MATERIALS WITH THE EXTENDED FINITE ELEMENT METHOD
• 论文作者：Rui-feng ZHANG ; Cun-fa GAO
• 英文论文作者：Rui-feng ZHANG ; Cun-fa GAO ; State Key Laboratory of Mechanics and Control of Mechanical Structures ; Nanjing University of Aeronautics and Astronautics
• 年：2016
• 作者机构：State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics;
• 英文论文关键词：Piezoelectric materials ; Extended finite element method ; Crack propagation ; Virtual crack closure method
• 会议召开时间：2016-10-21
• 会议录名称：2016年全国压电和声波理论及器件应用研讨会论文摘要集
• 英文会议录名称：Abstract Book of 2016 Symposium on Piezoelectricity, Acoustic Waves and Device Applications
• 语种：英文
• 分类号：TB34;O346.1
• 学会代码：AGLU
• 会议名称：2016年全国压电和声波理论及器件应用研讨会
• 会议地点：中国陕西西安
• 主办单位：中国力学学会、中国声学学会、IEEE UFFC分会
• 学会名称：中国力学学会
• 页数：2
• 文件大小：25k
• 原文格式：D
• 会议级别：全国

摘要

Background, Motivation and Objective In recent years, by embedding the enrichment techniques with the partition of unity method(PUM) into the standard finite element approximation spaces, the extended finite element method(XFEM) has been successfully developed and applied to solve many discontinuity problems in a wide range of engineering applications. The major difference between the XFEM and the conventional finite element method(CFEM) is that the mesh in XFEM is independent of the internal geometry and physical interfaces, such as that meshing and re-meshing difficulties in discontinuous problems can be overcome. Statement of Contribution/Methods In this work, based on the XFEM, elliptical crack problems in piezoelectric materials are analyzed by ABAQUS software. The stress field and the electrical displacement field around the crack tip are analyzed. According to the relationship between the energy release rate and the crack tip stress intensity factor, the crack tip stress intensity factor and the electric displacement intensity factor are calculated. The calculation results are in excellent agreement with the analytical solutions. After that, using ABAQUS simulated the situation of crack propagation and get the energy release rate. The influences of the geometric dimensions and the external loads on the field intensity factors are discussed. Results To assess the accuracy of the proposed approach, the results obtained are compared with the analytical reference solutions available in the literature, and they are found to excellent agreements, which implies that the XFEM is efficient to analyze the dynamic fracture problems in piezoelectric solids. Discussion and Conclusions Although many works on fracture analysis of piezoelectric materials have been reported in literature, there are only very few works devoted to crack propagation problems. In this work, we have successfully applied the XFEM and the level set method to numerical analysis of elliptical crack problems. It is show that the XFEM exhibits an excellent performance and more convenience compared to other existing methods in dealing with crack.
Background, Motivation and Objective In recent years, by embedding the enrichment techniques with the partition of unity method(PUM) into the standard finite element approximation spaces, the extended finite element method(XFEM) has been successfully developed and applied to solve many discontinuity problems in a wide range of engineering applications. The major difference between the XFEM and the conventional finite element method(CFEM) is that the mesh in XFEM is independent of the internal geometry and physical interfaces, such as that meshing and re-meshing difficulties in discontinuous problems can be overcome. Statement of Contribution/Methods In this work, based on the XFEM, elliptical crack problems in piezoelectric materials are analyzed by ABAQUS software. The stress field and the electrical displacement field around the crack tip are analyzed. According to the relationship between the energy release rate and the crack tip stress intensity factor, the crack tip stress intensity factor and the electric displacement intensity factor are calculated. The calculation results are in excellent agreement with the analytical solutions. After that, using ABAQUS simulated the situation of crack propagation and get the energy release rate. The influences of the geometric dimensions and the external loads on the field intensity factors are discussed. Results To assess the accuracy of the proposed approach, the results obtained are compared with the analytical reference solutions available in the literature, and they are found to excellent agreements, which implies that the XFEM is efficient to analyze the dynamic fracture problems in piezoelectric solids. Discussion and Conclusions Although many works on fracture analysis of piezoelectric materials have been reported in literature, there are only very few works devoted to crack propagation problems. In this work, we have successfully applied the XFEM and the level set method to numerical analysis of elliptical crack problems. It is show that the XFEM exhibits an excellent performance and more convenience compared to other existing methods in dealing with crack.

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