| 功能梯度压电材料中裂纹尖端热应力分析 |
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| 引用本文： | 陆万顺,李星,马旭. 功能梯度压电材料中裂纹尖端热应力分析[J]. 宁夏大学学报(自然科学版), 2012, 33(2): 125-129 |
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| 作者姓名： | 陆万顺 李星 马旭 |
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| 作者单位： | 1. 宁夏师范学院数学与计算机科学学院,宁夏固原,756000
2. 宁夏大学数学计算机学院,宁夏 银川,750021 |
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| 基金项目： | 国家自然科学基金资助项目，宁夏自然科学基金资助项目，宁夏高等学校科研资助项目，宁夏师范学院科学研究资助项目 |
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| 摘 要： | 分析了功能梯度压电材料中裂纹尖端的热应力．针对考虑的问题，通过Fourier积分变换把混合边值问题的求解转化为裂纹面上位移间断为未知量的对偶积分方程，然后利用Sehmidt方法来求解，最后通过数值算例讨论了温度及材料系数对应力强度因子、电位移强度因子的影响．
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| 关 键 词： | 功能梯度压电材料 应力强度因子 电位移强度因子 裂纹 |
Analysis of Thermo Behaviour of Crack Peak in Functionally Graded Piezoelectric Materials |
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| Lu Wanshun , Li Xing , Ma Xu. Analysis of Thermo Behaviour of Crack Peak in Functionally Graded Piezoelectric Materials[J]. Journal of Ningxia University(Natural Science Edition), 2012, 33(2): 125-129 |
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| Authors: | Lu Wanshun Li Xing Ma Xu |
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| Affiliation: | 1 (1.School of Mathematics and Computer Science,Ningxia Teachers College,Guyuan 756000,China; 2.School of Mathematics and Computer Science,Ningxia University,Yinchuan 750021,China ) |
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| Abstract: | The thermo behavior of crack peak in functionally graded piezoelectric materials is discussed,and the problem can be transformed to a dual integral equations in which the unknown variable is the jump of displacement by using the Fourier transform.And then,these equations are sovled using the Schmidt method.At last,the effect of temperature and material coefficient upon the stress intensity factor and electric displacement factor is discussed by numerical examples. |
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| Keywords: | functionally graded piezoelectric materials intensity factor electric displacement factor cracks |
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