涂层-纤维增强磁电弹性材料的变分渐近细观力学模型

涂层可对纤维起到表面改性及调节界面残余应力的作用，对宏观性能有重要的影响。为准确预测多场环境下涂层-纤维增强磁电弹性（MEE）材料的有效属性和局部场分布，基于变分渐近理论建立均匀化细观力学模型。从非均匀连续介质的总电磁焓入手，利用材料细观尺度远小于宏观尺度的特征，将多物理场下细观力学建模转换为约束条件下总电磁焓的最小化问题。为分析工程应用中智能材料的涂层-纤维细观结构，采用有限元技术实现该模型的数值模拟。通过与有限元结果的对比分析表明：构建的模型可准确预测涂层-纤维增强MEE材料的多物理场行为，不同厚度和刚度的涂层对应力集中和有效属性有较大的影响，同时揭示了许多独特的电-磁交互现象，为预测和优化涂层-纤维增强MEE材料的性能提供有益的参考。

Variational asymptotic micromechanics model of coating-fiber reinforced magneto-electro-elastic materials

The coating plays an important role in the surface modification of the fiber and adjusting the interface residual stress, which has a great influence on the macro performance. In order to accurately predict the effective properties and local field distributions of coating-fiber reinforced magneto-electro-elastic (MEE) materials under a multi field environment, a homogenized micromechanical model was established based on variational asymptotic method. Starting from the total electromagnetic enthalpy of inhomogeneous continuous media, the micromechanical model of multi physics field was converted to the minimization of total electromagnetic enthalpy under confined conditions by using the characteristics that the microscale of the material is much smaller than the macroscopic scale. In order to analyze the general microstructure of intelligent materials in engineering applications, the finite element method was used to implement the numerical simulation of the model. By comparing with the result of finite element analysis, the results show that the model can accurately predict the multiphysics behavior of coating-fiber reinforced MEE materials. The coatings with different thickness and stiffness have a great influence on the stress concentration and effective properties. Meanwhile, many interesting electro-magnetic interaction phenomenen are revealed, which are useful for the performance prediction and optimization of coating-fiber reinforced MEE materials.