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压电介质内裂纹问题的精确解

高存法 樊蔚勋

高存法, 樊蔚勋. 压电介质内裂纹问题的精确解[J]. 应用数学和力学, 1999, 20(1): 47-54.
引用本文: 高存法, 樊蔚勋. 压电介质内裂纹问题的精确解[J]. 应用数学和力学, 1999, 20(1): 47-54.
Gao Cunfa, Fan Weixun. A Exact Solution of Crack Problems in Piezoelectric Materials[J]. Applied Mathematics and Mechanics, 1999, 20(1): 47-54.
Citation: Gao Cunfa, Fan Weixun. A Exact Solution of Crack Problems in Piezoelectric Materials[J]. Applied Mathematics and Mechanics, 1999, 20(1): 47-54.

压电介质内裂纹问题的精确解

详细信息
    作者简介:

    高存法(1962~ ),男,博士,副教授.

  • 中图分类号: O346.1

A Exact Solution of Crack Problems in Piezoelectric Materials

  • 摘要: 在压电介质断裂力学分析中,人们常假定裂纹面上的电位移法向分量为零,可是实验表明,这一假设将导致错误的结果。本文基于精确的电边界条件,并应用Stroh公式的方法,导出了含裂纹压电介质在无限远处均匀外载作用下二维问题的精确解。结果表明:(ⅰ)应力强度因子与各向同性材料相同,而电位移强度因子取决于材料常数和机械载荷,但与电载荷无关;(ⅱ)能量释放率大于纯弹性各向异性材料内的值,即总是正的,且与电载荷无关;(ⅲ)裂纹内所含空气的介电常数对介质内的场强无影响。
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出版历程
  • 收稿日期:  1997-09-12
  • 修回日期:  1998-10-03
  • 刊出日期:  1999-01-15

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