| 压电材料的电热函及机-电耦合分析 |
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| 引用本文： | 石广玉. 压电材料的电热函及机-电耦合分析[J]. 复合材料学报, 2003, 20(6): 115-120 |
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| 作者姓名： | 石广玉 |
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| 作者单位： | 苏州大学,材料工程学院,苏州,215021 |
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| 摘 要： | 研究基于电热函的广义哈密顿原理在压电材料的机(力)-电耦合效应分析中的应用。作为应用实例,推导了两个简单压电材料结构的变形及应变致(strain induced)电场的解析解, 并与己有的解析解进行了比较并讨论了它们存在的若干问题。 计算结果表明,基于电热函的广义哈密顿原理是分析压电材料的机(力)-电耦合问题简单而又精确的模型。它既可准确地计算压电势能而又不必对二维问题和三维问题加以区分; 并且这种方法既可用于解析分析,也可作为压电复合材料有限元分析的数学基础。
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| 关 键 词： | 压电材料 机-电耦合分析 压电势能 电热函 |
| 文章编号： | 1000-3851(2003)06-0115-06 |
| 收稿时间： | 2002-07-26 |
| 修稿时间： | 2002-07-26 |
ELECTRIC ENTHALPY OF PIEZOELECTRIC MATERIALS AND COUPLING ANALYSIS OF MECHANICAL AND ELECTRIC FIELDS |
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| SHI Guangyu. ELECTRIC ENTHALPY OF PIEZOELECTRIC MATERIALS AND COUPLING ANALYSIS OF MECHANICAL AND ELECTRIC FIELDS[J]. Acta Materiae Compositae Sinica, 2003, 20(6): 115-120 |
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| Authors: | SHI Guangyu |
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| Affiliation: | School of Material Engineering, Suzhou University, Suzhou 215021, China |
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| Abstract: | This paper presents the electric enthalpy density-based Hamilton principle and its application in solving the problems with coupled mechanical and electrical properties of piezoelectric materials. The analytical solutions are derived for the deformations and electric potential of two simple structures. The resulting solutions are compared with the existing results, and the errors in these results are pointed out. The results demonstrate that the electric enthalpy-based Hamilton principle is a simple and powerful model to solve electric-mechanical coupling problems of piezoelectric materials. The model presented here can be also used for the mathematical model of finite element analysis of piezoelectric materials and structures. |
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| Keywords: | piezoelectric materials analysis of coupled elasticity and piezoele ctricity piezoelectric potential electric enthalpy |
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