压电复合材料层板弱界面的四种力-电-热物理模型

Four piezothermoelastic models on weak interfaces in piezoelectric composite laminates

基于对压电复合材料层合结构弱界面弹性场、电场、温度场的宏观和细观尺度分析,构建了四种界面力-电-热模型,分别为非耦合型、耦合型和混合型。依据这些界面模型,得到了柱面弯曲简支压电复合材料层板的力-电-热多场耦合解。结果表明,损伤界面的多场耦合物理描述介于宏观和细观尺度之间,需要多尺度考虑,且基于不同尺度的描述也可获得相似的规律。在热载和力载下,不同的界面模型对弹性场影响趋同、差异甚小,而对电场和温度场,四种模型的影响各异、但规律相似;在电载作用下,不同的界面模型无论对弹性场还是电场,都有显著的影响。

Based on macro-and meso-scales analysis on elastic,electric and thermal fields at a weak interface in piezoelectric composite laminates,four interfacial piezothermoelastic models（uncoupling,coupling and mixed） were built.According to these interfacial models,the piezothermoelastic coupling solutions of simply supported piezoelectric laminates with weak interfaces in cylindrical bending were obtained.Results show that the multi-fields coupling constitutive laws at a weak interface may be characterised in macro-and meso-scales,and some similarities among the interfaical models in different scales are observed.Under the thermal and force loads,the four models predict almost same elastic field,but similar distribution pattern of electric potential and temperature fields with different numerical results for the piezoelectric composite laminates.Under the electric loads,the differences of both elastic and elecric fields predicted by the four models are significant.