In this paper, the effective coefficients of piezoelectric fiber-reinforced composites are determined through two micromechanics methods. The exact solutions are derived to predict the effective electro-elastic coefficients with modifications in the conventional strength of materials approach and strain energy approach to account for the effects of fiber packing arrangements and orientations on these properties. A representative volume element subjected to a mechanical loading in the longitudinal direction to the fiber and an electrical loading in the transverse direction to the fiber is used to model the problem mathematically and derive the results. The effective elastic, piezoelectric and dielectric coefficients are estimated by these two methods, and the results are compared with those predicted by the strength of materials method of the literature. From the results, it is observed that results obtained for the elastic, piezoelectric and dielectric coefficients by the strength of materials method and modified strength of materials method are in good agreement with each other in a useful range of fiber volume fractions, while the results obtained through the energy approach shows some deviations when compared with previously stated two methods. The strength of actuation capabilities in the direction longitudinal to the fiber shows significant improvements in the results obtained with the strain energy approach compared with those of the other two micromechanics methods.

中文翻译：

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一种评估压电复合材料有效系数的分析方法

本文通过两种微力学方法确定了压电纤维增强复合材料的有效系数。推导了精确的解决方案，以预测有效的电弹性系数，并修改了传统的材料强度方法和应变能方法，以考虑纤维堆积方式和取向对这些性能的影响。代表性的体积元件在纤维的纵向受到机械负载，在纤维的横向受到电气负载，用于对问题进行数学建模并得出结果。有效的弹性系数，压电系数和介电系数是通过这两种方法估算的，并将结果与​​通过文献的材料强度法预测的结果进行比较。从结果可以看出，在纤维体积分数的有用范围内，通过材料强度法和改进的材料强度法获得的弹性，压电和介电系数结果彼此吻合。与前面提到的两种方法相比，通过能量方法显示出一些偏差。与其他两种微力学方法相比，在沿纤维纵向的方向上的驱动能力强度显示出应变能方法获得的结果有了显着改善。通过材料强度法和改进材料强度法的压电系数和介电系数在有用的纤维体积分数范围内彼此吻合，而通过能量方法获得的结果与前述两种方法相比显示出一些偏差。与其他两种微力学方法相比，在沿纤维纵向的方向上的驱动能力强度显示出应变能方法获得的结果有了显着改善。通过材料强度法和改进材料强度法的压电系数和介电系数在有用的纤维体积分数范围内彼此吻合，而通过能量方法获得的结果与前述两种方法相比显示出一些偏差。与其他两种微力学方法相比，在沿纤维纵向的方向上的驱动能力强度显示出应变能方法获得的结果有了显着改善。