| 反平面压电中三相复合本构模型的基本解 |
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| 引用本文： | 王旭, 沈亚鹏. 反平面压电中三相复合本构模型的基本解[J]. 固体力学学报, 2001, 22(1): 47-53. doi: 10.3969/j.issn.0254-7805.2001.01.007 |
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| 作者姓名： | 王旭 沈亚鹏 |
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| 作者单位： | 西安交通大学工程力学系，西安，710049; 西安交通大学工程力学系，西安，710049 |
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| 基金项目： | 国家自然科学基金!(596351 4 0 )资助 |
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| 摘 要： | 给出了三相圆柱压电复合本构模型在承受奇点作用时的基本解答.该解答是通过复势技术结合解析开拓、奇点分析、圆环域上的Laurent级数展开及Cauchy积分公式的运用等而获得的.在所获得的复势的基础上,文中得到了在基体上的奇点作用时各区域上的应力及电位移分布的表达式.
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| 关 键 词： | 反平面压电 三相复合本构模型 复势向量 全纯函数 |
| 修稿时间： | 1999-07-26 |
BASIC SOLUTION FOR THE THREE-PHASE COMPOSITE CONSTITUTIVE MODEL IN ANTIPLANE PIEZOELECTRICITY |
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| BASIC SOLUTION FOR THE THREE-PHASE COMPOSITE CONSTITUTIVE MODEL IN ANTIPLANE PIEZOELECTRICITY[J]. Chinese Journal of Solid Mechanics, 2001, 22(1): 47-53. doi: 10.3969/j.issn.0254-7805.2001.01.007 |
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| Authors: | Wang Xu Shen Yapeng |
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| Abstract: | A basic solution in series form is presented for the three phase composite cylindrical model in antiplane piezoelectricity subjected to the action of a singularity in the intermediate matrix region. The solution is obtained through the complex potential approach in conjunction with the techniques of analytical continuation, singularity analysis, Laurent series expansion in an annular region and Cauchy integral formulae, etc. Based on the complex potentials obtained, explicit expressions for the distribution of stress and electric displacement in the three regions are also derived. |
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| Keywords: | antiplane piezoelectricity three phase composite constitutive model complex potential vector holomorphic function |
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