Magnetoelectroelastic multi-inclusion and inhomogeneity problems and their applications in composite materials
Magnetoelectroelastic multi-inclusion and inhomogeneity problems and their applications in composite materials
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DOI：
10.1016/s0020-7225(00)00014-8
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发表时间：
2000-12
影响因子：
6.6
通讯作者：
Jiangyu Li
中科院分区：
文献类型：
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作者：
Jiangyu Li
本文研究了无限大基体中多夹杂或不均匀夹杂的平均电磁弹性场。讨论了电磁弹性夹杂和不均匀性问题，并提出了一种计算电磁弹性Eshelby张量的数值算法，该算法适用于一般材料对称性和椭球夹杂形状。将电磁弹性夹杂和非均匀性问题的解应用于研究多夹杂和非均匀性问题。结果表明，在无限大电磁弹性介质中，夹杂物周围的环形空间中的平均场只取决于两个椭球的形状和取向，推广了Tanaka和Mori在弹性力学中的观察.利用等效夹杂的概念，精确地确定了多重夹杂中的平均场，并由此得到了多重夹杂中的平均场。多夹杂物和不均匀性问题的解决方案作为基础的平均计划，以模拟非均匀材料的有效磁电弹性模量，它概括了Nemat-Nasser和Hori的多夹杂物模型的弹性。该模型被进一步扩展到预测的有效热模量的异质磁电弹性固体，概括了最近的工作李的弹性复合材料的热膨胀系数。所提出的模型恢复森田中和自洽的方法作为特殊情况。最后，通过数值计算验证了模型的适用性.最后讨论了提高复合材料磁电效应的潜在技术。
We have studied the average magnetoelectroelastic field in a multi-inclusion or inhomogeneity embedded in an infinite matrix. The magnetoelectroelastic inclusion and inhomogeneity problems are discussed , and a numerical algorithm to evaluate the magnetoelectroelastic Eshelby’s tensors for the general material symmetry and ellipsoidal inclusion shape is developed. The solutions for the magnetoelectroelastic inclusion and inhomogeneity problems are applied to study the multi-inclusion and inhomogeneity problems. It is shown that the average field in an annulus surrounding an inclusion embedded in an infinite magnetoelectroelastic medium only depends on the shapes and orientations of two ellipsoids, which generalizes Tanaka and Mori's observation in elasticity . The average field in a multi-inclusion is then determined exactly, from which the average field in a multi-inhomogeneity is obtained, using the equivalent-inclusion concept . The solutions of multi-inclusion and inhomogeneity problems serve as basis for an averaging scheme to model the effective magnetoelectroelastic moduli of heterogeneous materials, which generalizes Nemat-Nasser and Hori's multi-inclusion model in elasticity . The model is further extended to predict the effective thermal moduli of the heterogeneous magnetoelectroelastic solids, generalizing the recent work of Li on the thermal expansion coefficients of elastic composites . The proposed model recovers Mori–Tanaka and self-consistent approaches as special cases. Finally, some numerical results are given to demonstrate the applicability of the model. The potential techniques to enhance the magnetoelectric effect in practical composites are also discussed.