Micromechanical modelling for electro-magneto-thermo-elastic coupling behavior of smart materials
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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。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 results of BaTiO3-CoFe2O4 fiber/epoxy resin composites show that the constructed micromechanical model can accurately predict the electro-magneto-thermo-elastic behavior and recover the local distribution of multi-physical field.
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期刊类型引用(1)
1. 郭克星，夏鹏举. 智能复合材料的研究进展. 功能材料. 2019(04): 4017-4022+4029 . 
百度学术
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