东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2015, Vol. 36 ›› Issue (11): 1581-1585.DOI: 10.12068/j.issn.1005-3026.2015.11.014

• 材料与冶金 • 上一篇    下一篇

含裂纹压电材料的Cell-Based光滑有限元法

周立明， 孟广伟， 王晖， 李锋   

  1. (吉林大学 机械科学与工程学院， 吉林 长春130025)
  • 收稿日期:2014-02-17 修回日期:2014-02-17 出版日期:2015-11-15 发布日期:2015-11-10
  • 通讯作者: 周立明
  • 作者简介:周立明(1982-)，男，吉林白山人，吉林大学讲师，博士; 孟广伟(1959-)，男，吉林长春人，吉林大学教授.
  • 基金资助:
    国家重大科学仪器设备开发专项(2012YQ030075); 国家自然科学基金资助项目(51305157); 吉林省科技厅基金资助项目(20130305006GX); 吉林大学研究生创新基金资助项目(2015121).

Cell-Based Smoothed Finite Element Method for Piezoelectric Materials with Cracks

ZHOU Li-ming， MENG Guang-wei， WANG Hui， LI Feng   

  1. School of Mechanical Science and Engineering， Jilin University， Changchun 130025， China.
  • Received:2014-02-17 Revised:2014-02-17 Online:2015-11-15 Published:2015-11-10
  • Contact: MENG Guang-wei
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摘要： 裂纹缺陷限制了压电材料更广泛的应用和相关器件性能的进一步提升.为提高求解压电材料断裂参数的精度和效率，将复势函数法和Cell-based光滑有限元法引入到含裂纹平面压电材料问题中，提出了含裂纹压电材料的Cell-based光滑有限元法.以含中心裂纹压电平板的问题为例，对不同材料、裂纹长度、网格和光滑子元数下的正则强度因子进行了讨论，并与FEM作了对比，数值算例结果表明，Cell-based光滑有限元法改善了有限元法刚度“偏硬”的缺点，具有高精度、高效率的优点.

关键词: Cell-based 光滑有限元法, 压电材料, 裂纹, 正则强度因子

Abstract: Cracks in the piezoelectric material restricts wider application of the piezoelectric material and further improvement in the performance of related devices. To improve the accuracy and efficiency of solving the fracture parameters of piezoelectric materials， the complex potential function method and Cell-based smoothed finite element method(FEM) are introduced to fracture mechanics of piezoelectric materials， and Cell-based smoothed FEM for the piezoelectric materials with cracks was established. Normalized intensity factors of the center cracked piezoelectric with different materials， crack length， meshes and smoothing subcells were discussed and compared with FEM. Numerical example results showed that the Cell-based smoothed FEM， improving the FEM stiffness with high precision and high efficiency， is efficient numerical methods.

Key words: Cell-based smoothed finite element method, piezoelectric materials, crack, normalized intensity factor

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