Micromechanics modeling of piezoelectro-viscoelasto-plastic behavior of metal core piezoelectric fiber/polymer composites
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摘要: 为了表征金属芯压电纤维增强聚合物基(MPF/PM)复合材料非线性、时变的压电-黏弹-塑性行为,基于变分渐近理论建立MPF/PM增量形式的细观力学模型。首先分别导出聚合物和MPF增量型本构方程,基于汉密尔顿扩展原理推导出MPF/PM压电-黏弹-塑性变分原理的能量泛函。考虑材料的时变和非线性特征,建立与求解瞬时有效机-电耦合矩阵有关的增量过程,并通过有限元技术实现模型的数值模拟。利用构建模型研究了不同铝芯体积分数、电场变化率和加载条件对MPF/PM有效全局应力-应变和单轴纵向拉伸性能的影响。结果表明,构建的模型能准确模拟MPF/PM多场耦合作用下的非线性、时变行为,为该新型智能材料的实际工程应用奠定理论基础。Abstract: In order to characterize the nonlinear and time-dependent piezoelectro-viscoelasto-plastic behavior of metal core piezoelectric fiber/polymer (MPF/PM) composites, an incremental micromechanics model of MPF/PM was developed based on the variational asymptotic theory. Firstly, the incremental constitutive equations of polymer and MPF were derived. The energy functional of variational principle for the MPF/PM piezoelectro-viscoelasto-plastic of (MPF/PM) composites was derived based on the Hamilton expansion principle. The incremental process associated with the instantaneous effective electromechanical coupling matrix, and solved by the finite element method. The presented model was used to investigate the effects of different volume fraction of aluminum, the change rate of electric field and loading condition on the effective global stress-strain relationship and uniaxial longitudinal tensile properties. The results show that the constructed model can accurately simulate the nonlinear, time-dependent behavior of MPF/PM composites under electromechanical coupling, which lays a theoretical foundation for the practical application of this new type of smart material.
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