| 多铁性非均匀空心层合柱圆弧界面的反平面断裂分析 |
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| 引用本文： | 时朋朋,李星,孙莎.多铁性非均匀空心层合柱圆弧界面的反平面断裂分析[J].工程力学,2013,30(5):324-328. |
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| 作者姓名： | 时朋朋 李星 孙莎 |
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| 作者单位： | 宁夏大学数学计算机学院，宁夏，银川 750021 |
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| 基金项目： | 国家自然科学基金项目(10962008，51061015)；高等学校博士学科点专项科研基金课题(博导类，20116401110002) |
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| 摘 要： | 讨论反平面载荷作用下多铁性非均匀空心层合柱的圆弧界面裂纹问题，层合柱由梯度铁电层和梯度铁磁层粘接而成，界面处存在圆弧型裂纹。采用分离变量和Cauchy核奇异积分方程方法求解该断裂问题。通过讨论断裂参数的数值解，分析了梯度非均匀参数、几何与材料参数变动等对应力强度因子的影响。
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| 关 键 词： | 多铁性复合材料 功能梯度材料 圆弧界面裂纹 奇异积分方程 应力强度因子 |
| 收稿时间： | 2012-01-01 |
ANTI-PLANE PROBLEM of ARC-SHAPED INTERFACIAL CRACK IN A NON-HOMOGENEOUS MULTIFERROIC HOLLOW CYLINDER |
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| Affiliation: | School of Mathematics and Computer Science, Ningxia University, Yinchuan, Ningxia 750021, China |
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| Abstract: | The arc-shaped interfacial crack in a hollow cylindrical multiferroic composite subjected to antiplane load is discussed. The hollow cylinder contains a non-homogeneous ferromagnetic layer and a non-homogeneous ferroelectric layer. Based on the method of variable separation, an infinite series expansion is employed to reduce the mixed-boundary value problem to a singular integral equation of Cauchy kernel, which is solved numerically by standard Lobatto-Chebyshev quadrature technique. Numerical results of the stress intensity factor are obtained and the effects of the graded parameters, geometrical and material constants on the fracture parameter are discussed. |
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