| 具有横观各向同性球形压电夹杂的压电复合材料的有效性质 |
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| 引用本文： | 江冰,方岱宁. 具有横观各向同性球形压电夹杂的压电复合材料的有效性质[J]. 应用数学和力学, 1999, 20(4): 371-380 |
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| 作者姓名： | 江冰 方岱宁 |
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| 作者单位： | 清华大学工程力学系, 北京 100084 |
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| 摘 要： | 压电复合材料的有效性质是一个十分重要的问题.在分析了一无限大均匀线性非压电介质中含有一个横观各向同性球形压电夹杂问题的基础上,导出了夹杂内的约束应变场和约束电场的解析表达式,进而得到了含横观各向同性球形压电夹杂的压电复合材料的有效电弹模量的稀疏解.本文结果可以用于压电复合材料或智能材料和智能结构的设计与分析.
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| 关 键 词： | 压电复合材料 夹杂 约束张量 有效电弹模量 |
| 收稿时间： | 1997-12-12 |
The Effective Properties of Piezoelectric Composite Materials with Transversely Isotropic Spherical Inclusions |
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| Jiang Bing,Fang Daining. The Effective Properties of Piezoelectric Composite Materials with Transversely Isotropic Spherical Inclusions[J]. Applied Mathematics and Mechanics, 1999, 20(4): 371-380 |
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| Authors: | Jiang Bing Fang Daining |
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| Affiliation: | Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P R China |
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| Abstract: | The effective properties of piezoelectric composite materials are very important in engineering. In this paper, the closed_form solutions of the constraint_strain and the constraint_electric_field of a transversely isotropic spherical inclusion in an infinite non_piezoelectric matrix are obtained. The dilute solutions of piezoelectric composite materials with transversely isotropic spherical inclusions are also given. The solutions in the paper can be readily utilized in analysis and design of piezoelectric composite materials or smart materials and smart structures. |
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