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Calculation of effective coefficients for piezoelectric fiber composites based on a general numerical homogenization technique

机译：基于通用数值均化技术的压电纤维复合材料有效系数的计算

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Numerical unit cell models for 1-3 periodic composites made of piezoceramic unidirectional cylindrical fibers embedded in a soft non-piezoelectric matrix are developed. The unit cell is used for prediction of the effective coefficients of the periodic transversely isotropic piezoelectric cylindrical fiber composite. Special emphasis is placed on the formulation of the boundary conditions that allows the simulation of all modes of overall deformation arising from any arbitrary combination of mechanical and electrical loading. The numerical approach is based on the finite element method (FEM) and it allows the extension to composites with arbitrary geometrical inclusion configurations, providing a powerful tool for fast calculation of their effective properties. For verification the effective coefficients are evaluated for square and hexagonal arrangements of unidirectional piezoelectric cylindrical fiber composites. The results obtained from the numerical technique are compared with those obtained by means of the analytical asymptotic homogenization method (AHM) for different fiber volume fractions.
机译：建立了由1-3个由压电陶瓷单向圆柱纤维制成的周期复合材料的数值晶胞模型，该复合材料嵌在柔软的非压电基质中。晶胞用于预测周期性横向各向同性的压电圆柱纤维复合材料的有效系数。特别强调边界条件的制定，该边界条件允许模拟由于机械和电气载荷的任意组合而引起的整体变形的所有模式。数值方法基于有限元方法（FEM），它允许扩展到具有任意几何包含构型的复合材料，从而为快速计算其有效特性提供了强大的工具。为了验证，对单向压电圆柱状纤维复合材料的正方形和六角形排列的有效系数进行了评估。将通过数值技术获得的结果与通过分析渐近均匀化方法（AHM）获得的结果进行比较，以得出不同的纤维体积分数。

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