| 智能材料电-磁-热-弹耦合性能的细观力学模型 |
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| 引用本文： | 钟轶峰,矫立超,周小平,杨文文,杨旦旦. 智能材料电-磁-热-弹耦合性能的细观力学模型[J]. 复合材料学报, 2016, 33(8): 1725-1732. DOI: 10.13801/j.cnki.fhclxb.20151214.002 |
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| 作者姓名： | 钟轶峰 矫立超 周小平 杨文文 杨旦旦 |
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| 作者单位： | 1.重庆大学 土木工程学院, 重庆 400045; |
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| 基金项目： | 国家自然科学基金(11272363)，中央高校基本科研业务费专项资金(106112014CDJZR200017)，重庆市自然科学基金(cstc2016jcyjA0426) |
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| 摘 要： | 基于变分渐近均匀化方法建立能预测智能材料电-磁-热-弹全耦合性能的细观力学模型。从智能材料电-磁-热-弹耦合本构方程中推导能量泛函变分表达式出发，利用单胞细观尺度与宏观尺度比作为小参数将材料的能量泛函渐近扩展为系列近似泛函，通过最小化近似泛函求解场变量的波动函数，从而建立逼近物理和工程真实性的细观力学模型，并通过有限元数值实现。通过BaTiO3-CoFe2O4纤维/环氧树脂复合材料算例表明:构建的细观力学模型可准确预测电-磁-热-弹耦合性能和重构多物理场局部分布。
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| 关 键 词： | 变分渐近法 均匀化 复合材料 细观力学 电磁热弹 |
| 收稿时间： | 2015-09-06 |
Micromechanical modelling for electro-magneto-thermo-elastic coupling behavior of smart materials |
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| ZHONG Yifeng,JIAO Lichao,ZHOU Xiaoping,YANG Wenwen,YANG Dandan. Micromechanical modelling for electro-magneto-thermo-elastic coupling behavior of smart materials[J]. Acta Materiae Compositae Sinica, 2016, 33(8): 1725-1732. DOI: 10.13801/j.cnki.fhclxb.20151214.002 |
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| Authors: | ZHONG Yifeng JIAO Lichao ZHOU Xiaoping YANG Wenwen YANG Dandan |
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| Affiliation: | 1.School of Civil Engineering, Chongqing University, Chongqing 400045, China;2.Key Laboratory of New Technology for Construction of Cities in Mountain Area, Chongqing University, Ministry of Education, Chongqing 400045, China |
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| Abstract: | A micromechanical model is developed to predict electro-magneto-thermo-elastic full-coupling behavior of smart materials based on the variational asymptotic homogenization method.Starting from the variational expression of energy functional derived from electro-magneto-thermo-elastic coupling constitutive equation of smart materials, the energy functional was asymptotically extended to a series of approximate functional by taking advantage of the small ratio of microscale to macroscale of unit cell.The fluctuation function of the field variables were obtained by minimizing the approximation functional,resulting in a micromechanical model which is as close as possible to the physical and engineering reality.This model was implemented by using finite element technology.The example re-sults of BaTiO3-CoFe2 O4 fiber/epoxy resin composites show that the constructed micromechanical model can accu-rately predict the electro-magneto-thermo-elastic behavior and recover the local distribution of multi-physical field. |
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| Keywords: | variational asymptotic method homogenization composite materials micromechanics electro-magne-to-thermo-elastic |
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