| 粘弹性复合材料中的渐近均匀化方法 |
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| 引用本文： | 刘文辉,张新明,张淳源.粘弹性复合材料中的渐近均匀化方法[J].工程力学,2005,22(6):63-68. |
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| 作者姓名： | 刘文辉 张新明 张淳源 |
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| 作者单位： | 中南大学材料科学与工程学院,长沙,410083;湘潭大学建筑工程系,湘潭,411105;中南大学材料科学与工程学院,长沙,410083;湘潭大学建筑工程系,湘潭,411105 |
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| 基金项目： | 浙江省湖州市自然科学基金 |
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| 摘 要： | 主要研究了由各向同性线弹性加强体和各向同性线粘弹性基体组成的复合材料的问题。在已有的线弹性多层材料的渐近均匀化方法的基础上,应用弹性-粘弹性对应原理,在Carson域中求解粘弹性问题,通过两次运用均匀化方法,得到一类单向强化复合材料的有效模量的表达式。反演可得到单向强化复合材料的有效松弛模量在时间域中的表达式,并且与其它结果进行了比较。
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| 关 键 词： | 微观力学 渐近均匀化方法 多层复合材料 对应原理 有效松弛模量 |
| 文章编号： | 1000-4750（2005）06-0063-06 |
| 收稿时间： | 2003-11-28 |
| 修稿时间： | 2003-11-282004-03-12 |
ASYMPTOTIC HOMOGENIZATION OF VISCOELASTIC COMPOSITES |
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| LIU Wen-hui,ZHANG Xin-ming,ZHANG Chun-yuan.ASYMPTOTIC HOMOGENIZATION OF VISCOELASTIC COMPOSITES[J].Engineering Mechanics,2005,22(6):63-68. |
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| Authors: | LIU Wen-hui ZHANG Xin-ming ZHANG Chun-yuan |
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| Affiliation: | 1. School of Materials Science and Engineering, Central South University, Changsha 410083, China; 2. Architectural Engineering Department, Xiangtan University, Xiangtan 411105, China |
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| Abstract: | The problem of viscoelastic composites is studied. The matrix is assumed to be linear, viscoelastic and isotropic, and the fiber is assumed to be linear elastic and isotropic. Based on the asymptotic homogenization of linear elastic multilayered media, the correspondence principle in viscoelasticity is applied. The problem in the Carson domain is solved and the formulas of the relaxation functions of a kind of unidirectional reinforced composites are obtained using the homogenization method twice. The inversion to the time domain of the effective relaxation moduli of this kind of composites is carried out. Comparisons with other results are made. |
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| Keywords: | micromechanics homogenization multilayered media correspondence principle effective relaxation moduli |
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