Piezoelectric composites with periodic multi-coated inhomogeneities
Piezoelectric composites with periodic multi-coated inhomogeneities
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DOI：
10.1016/j.ijsolstr.2010.06.017
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发表时间：
2010-10-15
影响因子：
3.6
通讯作者：
Shodja, H. M.
中科院分区：
文献类型：
--
作者：
Hashemi, R.;Weng, G. J.;Shodja, H. M.
提出了一种新的、鲁棒性强的均匀化方法，用于求解具有多层涂层非均匀性的周期压电复合材料的有效特性。在该方案中，涂层不必是薄的，夹杂物和涂层的形状和取向不必相同，它们的中心不必重合，它们的性质不必保持均匀，并且微观结构可以具有2D椭圆形或3D椭球形夹杂物。从局部机电等效夹杂原理出发，通过引入位置相关的等效本征应变和电场。然后通过傅里叶级数展开和叠加，得到了各相的体均等效本征应变和电场。结果反过来被用于能量等效标准，以确定复合材料的有效性能。在这个模型中，每个多涂层颗粒的相间相互作用和周期性分布的颗粒之间的长程相互作用被充分考虑。为了证明其广泛的适用性，我们应用它来检查几种周期性复合材料的特性：（i）在聚合物基体中的压电PZT球形颗粒，（ii）在环氧树脂基体中具有薄PZT涂层的连续玻璃纤维，（iii）涂覆有厚的或功能梯度压电层的球形PZT颗粒，（iv）在PZT基体中涂覆有厚的非压电层的球形空隙，和（v）具有偏心的、不均匀厚度涂层的球形压电不均匀体。计算结果反映了复杂的性质之间的相互作用的核心，基质和涂层，以及涂层是否是均匀的，功能梯度，或偏心。用双夹杂模型和其它细观力学模型对新格式的精度进行了检验，结果吻合较好。(C)2010爱思唯尔有限公司保留所有权利。
A new, robust homogenization scheme for determination of the effective properties of a periodic piezoelectric composite with general multi-coated inhomogeneities is developed. In this scheme the coating does not have to be thin, the shape and orientation of the inclusion and coatings do not have to be identical, their centers do not have to coincide, their properties do not have to remain uniform, and the microstructure can be with the 2D elliptic or the 3D ellipsoidal inclusions. The development starts from the local electromechanical equivalent inclusion principle through the introduction of the position-dependent equivalent eigenstrain and electric field. Then with a Fourier series expansion and a superposition procedure, the volume-averaged equivalent eigenstrain and electric field for each phase are obtained. The results in turn are used in an energy equivalent criterion to determine the effective properties of the composite. In this model the interphase interactions in each multi-coated particle and the long-range interactions between the periodically distributed particles are fully accounted for. To demonstrate its wide range of applicability, we applied it to examine the properties of several periodic composites: (i) piezoelectric PZT spherical particles in a polymer matrix, (ii) continuous glassy fibers with thin PZT coating in an epoxy matrix, (iii) spherical PZT particles coated by thick or functionally graded piezoelectric layer, (iv) spheroidal voids coated with a thick non-piezoelectric layer in a PZT matrix, and (v) spherical piezoelectric inhomogeneities with eccentric, non-uniform thickness coating. The calculated results reflect the complex nature of interplay between the properties of core, matrix, and coating, as well as whether the coating is uniform, functionally graded, or eccentric. The accuracy of this new scheme is checked against the double-inclusion and other micromechanics models, and good agreement is observed. (C) 2010 Elsevier Ltd. All rights reserved.