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The Generalized 2D Thermal -electro-elastic Solution for the Cracked- Half-Elliptical-Hole Problem in a Half Plane

机译：半平面裂纹半椭圆孔问题的广义二维热电弹性解

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In this paper,the half elliptical hole with an edge crack in a thermalpiezoelectric materials is studied,anda generalized 2D thermal-electro-elastic solution is derived by using the complex variable method.First,the mapping function which maps the outside of the elliptical hole and the crack in the right half planeinto the outside of a circular hole in a full plane is given by the method of conformal mapping.Then thecomplex potential functions for the temperature/mechanical/electric field,and the fields intensity factorsare presented based on the assumption that the surface of the crack and hole is adiabatic,electricallyimpermeable and traction-free,respectively.Numerical analysis is also made to discuss the influences ofthe crack length and the thermal/mechanical/electric loading on the fields intensity factors.Similar to thefull plane problem,some useful results can be found:the heat flux which perpendicular to the crack hasgreat effect on the stress intensity factors for the mode II cracks,but its influence on the stress intensityfactors for the mode I cracks and the intensity factors for the electric displacement is not significant.

机译：本文研究了热压电材料中带有边缘裂纹的半椭圆孔，并利用复变量方法推导了广义二维热电弹性解。首先，映射函数绘制了椭圆孔的外部然后采用保角映射的方法给出了全平面上圆孔外部的右半平面的裂纹。然后根据温度场，机械场，电场场的复势函数，提出了场强因子。裂纹和孔的表面分别是绝热的，不渗透电的和无牵引的。还通过数值分析讨论了裂纹长度和热/机械/电载荷对场强因子的影响。类似于全平面问题可以发现一些有用的结果：垂直于裂纹的热通量对模式II的应力强度因子有很大的影响裂纹，但它对I型裂纹应力强度因子和电位移强度因子的影响不显着。

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《10th International congress on thermal stresse》|2013年|1-4|共4页
会议地点 Nanjing(CN)
作者
Yongjian Wang; Cunfa Gao;
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作者单位

College of Engineering,Nanjing Agricultural University,Nanjing 210031,China;

State key Laboratory of Mechanics and Control of the Mechanical Structures,Nanjing University of Aeronautics Astronautics,Nanjing 210016,China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类 O318.6;
关键词
Piezoelectric materials; Elliptical hole; Edge cracks; Thermalelectroelasticity;

机译：压电材料；椭圆孔；边缘裂纹；热电弹性;

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专利

1. The Generalized Two Dimensional Thermal-Electro-Elastic Solution for the Cracked-Half-Elliptical-Hole Problem in a Half Plane [J] . Wang, Y. J., Gao, Journal Of Theoretical And Applied Mechanics . 2015,第2期

机译：半平面裂纹半椭圆孔问题的广义二维热电弹性解
2. Analytical solutions to the 2D elasticity and thermoelasticity problems for inhomogeneous planes and half-planes [J] . Yuriy Tokovyy, Chien-Ching Ma Archive of Applied Mechanics . 2009,第5期

机译：非均匀平面和半平面的二维弹性和热弹性问题的解析解
3. Solutions of the generalized half-plane and half-space Cerruti problems with surface effects [J] . Zhou S. -S., Gao X. -L. ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 2015,第3期

机译：具有表面效应的广义半平面和半空间Cerruti问题的解决方案
4. The Generalized 2D Thermal -electro-elastic Solution for the Cracked- Half-Elliptical-Hole Problem in a Half Plane [C] . Yongjian Wang, Cunfa Gao International congress on thermal stresse . 2013

机译：半平面中的裂纹 - 半椭圆孔问题的广义2D热电溶液
5. Finite planes and finite upper half planes: Their geometry, a trace formula, modular forms, and Eisenstein series [D] . Shaheen, Anthony M. 2005

机译：有限平面和有限的上半平面：它们的几何形状，迹线公式，模数形式和爱森斯坦级数
6. The growth and approximation for an analytic function represented by Laplace–Stieltjes transforms with generalized order converging in the half plane [O] . Hong Yan Xu, Hua Wang -1

机译：由Laplace–Stieltjes变换表示的解析函数的增长和近似具有在半平面上收敛的广义阶
7. Fundamental solutions of penny-shaped and half-infinite plane cracks embedded in an infinite space of one-dimensional hexagonal quasi-crystal under thermal loading [O] . X.-Y. Li 2013

机译：在热负荷下嵌入一维六边形准晶体无限空间中的一分钱形状和半无限平面裂缝的基本解决方案
8. Clfe2d: A Generalized Plane Strain Finite Element Program Laminated Composites Subject to Mechanical and Hygrothermal Loading [R] . Buczek, M. B., Gregory, M. A., Herakovich, C. T. 1983

机译：Clfe2d：一种广义平面应变有限元程序层合复合材料受机械和湿热负荷影响

The Generalized 2D Thermal -electro-elastic Solution for the Cracked- Half-Elliptical-Hole Problem in a Half Plane

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