Analysis of an interface crack of arbitrary shape in a three-dimensional transversely isotropic magnetoelectrothermoelastic bimaterialpart 1: Theoretical solution

Zhao M. H.; Dang H. Y.; Fan C. Y.; Chen Z. T.

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Analysis of an interface crack of arbitrary shape in a three-dimensional transversely isotropic magnetoelectrothermoelastic bimaterialpart 1: Theoretical solution

机译：三维横向各向同性磁电热弹性双材料中任意形状的界面裂纹分析第1部分：理论解

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The extended displacement discontinuity boundary integral-differential equation method is developed for the analysis of an interface crack of arbitrary shape in a three-dimensional (3D), transversely isotropic magnetoelectrothermoelastic bimaterial. The extended displacement discontinuities (EDDs) include conventional displacement discontinuities, electric potential discontinuity, magnetic potential discontinuity as well as temperature discontinuity across the interface crack faces, correspondingly, while the extended stresses represent conventional mechanical stresses, electric displacement, magnetic induction, heat flux, etc. By virtue of the potential functions and Hankel transformation technique, the fundamental solutions for unit-point EDDs on the interface in a 3D transversely isotropic magnetoelectrothermoelastic bimaterial are derived, then the extended displacements and stresses are all obtained in terms of EDDs. An analysis method is proposed based on the analogy with the solution in an isotropic thermoelastic bimaterial. The singular indices and the singular behaviors of the near crack-tip fields are studied. The combined extended stress intensity factors for three new fracture modes are derived in terms of the EDDs and are compared with those in magnetoelectroelastic bimaterials.

机译：开发了扩展位移不连续边界积分微分方程方法，用于分析三维（3D）横向各向同性磁电热弹性双材料中任意形状的界面裂纹。扩展位移不连续性（EDD）包括常规位移不连续性，电势不连续性，磁势不连续性以及跨界面裂纹面的温度不连续性，而扩展应力表示常规机械应力，电位移，磁感应强度，热通量，借助势函数和汉克尔变换技术，推导了3D横向各向同性磁电热弹性双材料界面上单位点EDDs的基本解，然后根据EDDs得到了扩展的位移和应力。提出了一种基于各向同性的热弹性双材料中溶液的类比分析方法。研究了裂纹尖端场的奇异指标和奇异行为。根据EDD推导了三种新断裂模式的组合扩展应力强度因子，并将其与磁电弹性双材料进行了比较。

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来源
《Journal of thermal stresses》 |2017年第9期|929-952|共24页
作者
Zhao M. H.; Dang H. Y.; Fan C. Y.; Chen Z. T.;
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作者单位

Zhengzhou Univ, Sch Mech & Engn Sci, Zhengzhou, Henan, Peoples R China|Zhengzhou Univ, Henan Key Engn Lab Antifatigue Mfg Technol, Zhengzhou, Henan, Peoples R China|Zhengzhou Univ, Sch Mech Engn, Zhengzhou, Henan, Peoples R China;

Zhengzhou Univ, Sch Mech & Engn Sci, Zhengzhou, Henan, Peoples R China|Univ Alberta, Dept Mech Engn, Edmonton, AB T6G 1H9, Canada;

Zhengzhou Univ, Henan Key Engn Lab Antifatigue Mfg Technol, Zhengzhou, Henan, Peoples R China|Zhengzhou Univ, Sch Mech Engn, Zhengzhou, Henan, Peoples R China;

Univ Alberta, Dept Mech Engn, Edmonton, AB T6G 1H9, Canada;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Boundary integral-differential equations; extended displacement discontinuities; extended stress intensity factors; fundamental solutions; interface crack; magnetoelectrothermoelastic bimaterial; transversely isotropic;

机译：边界积分-微分方程;扩展的位移不连续性;扩展的应力强度因子;基本解;界面裂纹;磁电热弹性双材料;横向各向同性;

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专利

1. Analysis of an interface crack of arbitrary shape in a three-dimensional transversely isotropic magnetoelectrothermoelastic bimaterialpart 2: Numerical method [J] . Dang H. Y., Zhao M. H., Fan C. Y., Journal of thermal stresses . 2017,第7a9期

机译：三维横向各向同性磁电热弹性双材料中任意形状的界面裂纹分析第二部分：数值方法
2. Analysis method of planar interface cracks of arbitrary shape in three-dimensional transversely isotropic magnetoelectroelastic bimaterials [J] . Zhao MH, Li N, Fan CY, International Journal of Solids and Structures . 2008,第6期

机译：三维横向各向同性磁电弹性双材料中任意形状的平面界面裂纹的分析方法
3. Analysis of an arbitrarily shaped interface cracks in a three-dimensional isotropic thermoelastic bi-material. Part 1: Theoretical solution [J] . Zhao MingHao, Dang HuaYang, Fan CuiYing, International Journal of Solids and Structures . 2016,第Null期

机译：三维各向同性热弹性双材料中任意形状的界面裂纹的分析。第1部分：理论解决方案
4. Analytical solution for T-stresses and SIFs for penny-shaped crack in transversely isotropic elastic media under arbitrary normal traction [C] . Matana Pinitpanich, Jaroon Rungamornrat International conference on fracture . 2013

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5. Three-dimensional elastic analysis of underground openings in isotropic and transversely isotropic rocks using the boundary element method [D] . Loloi, Mehdi 1993

机译：各向同性和横向各向同性岩石地下洞口的三维弹性分析的边界元方法
6. Fatigue Life Prediction for Transverse Crack Initiation of CFRP Cross-Ply and Quasi-Isotropic Laminates [O] . Atsushi Hosoi, Hiroyuki Kawada 2018

机译：CFRP交叉层和准各向同性层板横向裂纹萌生的疲劳寿命预测
7. Analysis method of planar interface cracks of arbitrary shape in three-dimensional transversely isotropic magnetoelectroelastic bimaterials [O] . Zhao MingHao, Li Na, Fan CuiYing, 2008

机译：三维横向各向同性磁电弹性双材料中任意形状的平面界面裂纹的分析方法
8. Elastic-Plastic Analysis of Open-End, Transversely-Isotropic Tubes under Internal Pressure. Part II: Strain Solution by Flow Theory [R] . Chen, P. C. T. 1970

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Analysis of an interface crack of arbitrary shape in a three-dimensional transversely isotropic magnetoelectrothermoelastic bimaterialpart 1: Theoretical solution

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