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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。
Meso - mechanics model for predicting the electro - magnetocaloric - thermo - mechanical all - ensemble of smart materials is established based on the variational asymptotic homogenization method. Starting from deducing energy functional variational expressions in electro-magnetic-thermo-elastic coupling constitutive equation of smart material, the energy functional of material is extended as a series of approximations by using the cell-scale and macro-scale ratios as the small parameters The functional is solved by minimizing the approximate functional and the fluctuation function of the field variable is established to establish a mesomechanical model that approximates the physical and engineering realities and is implemented by finite element numerical method. An example of BaTiO3-CoFe2O4 fiber / epoxy composites shows that the mesomechanical model can accurately predict the electro-magnetic-thermal-elastic coupling performance and reconstruct the local distribution of multiphysics.