压电智能复合材料层合梁的力电耦合模型及层间应力分析

由于非凡的物理性能，石墨烯纳米片(GPL)被认为是最有吸引力的复合材料增强材料之一.GPL增强材料可以明显提高聚偏氟乙烯(PVDF)压电性能和力学性能.在力电载荷作用下，对含均匀石墨烯薄片增强(GSR)智能压电复合材料层合梁层间应力预测至关重要.若对受到力电耦合作用且层与层之间材料性能突变的压电层合梁层间剪切变形预测有误，则其层间应力过大可能导致层间失效.因此，论文提出一种适于分析此类问题且满足层与层之间相容性条件的有效力电耦合模型，用于含GSR致动器的复合材料层合梁层间应力分析.应用Reissner混合变分原理(RMVT),可以提高考虑力电耦合效应的横向剪应力预测精度.三维(3D)弹性理论和所选模型计算结果将用于评估所提梁模型性能.此外，还从力电载荷、压电层厚度、石墨烯体积分数和长厚比等方面对含GSR致动器复合材料层合梁力学响应特性进行了系统的研究.

Electromechanical coupling model and interlaminar stress analysis of piezoelectric smart composite laminated beams

Graphene nanosheets (GPL) are considered to be one of the most attractive reinforcement materials for composites due to their extraordinary physical properties. GPL reinforced materials can significantly improve the properties of piezoelectric and mechanical for polyvinylidene fluoride (PVDF). Under the action of electromechanical loading, it is crucial to predict the interlaminar stress of laminated beams containing uniform graphene sheets reinforced (GPRC) smart piezoelectric composites. If the prediction of interlaminar shear deformation of piezoelectric laminated beams subjected to electromechanical coupling and the material properties vary widely from layer to layer, the interlaminar stress may be too large which may lead to interlaminar failure. Therefore, an effective mechanoelectrical coupling model is proposed which satisfying the interlaminar continuity condition and suitable for analyzing such problems for the interlaminar stress analysis of composite laminated beams with GPRC actuators in this paper. Applying the Reissner mixed variation theorem (RMVT), the prediction of transverse shear stress considering the electromechanical coupling effect can be improved. The results obtained from three-dimensional (3D) elastic theory and selected model will be used to evaluate the performance of proposed beam model. In addition, the responses of displacements and stresses characteristics for composite laminated beams with GPRC actuators were systematically studied from the aspects of electromechanical load, the thickness of piezoelectric layer, graphene volume fraction and aspect ratio.