压电复合材料层板弱界面力-电-热多场耦合研究

PIEZOTHERMOELASTIC MODELLING OF WEAK INTERFACES IN PIEZOELECTRIC COMPOSITE LAMINATES

压电复合材料层合结构界面缺陷的物理描述呈现出多场耦合现象。界面弹性场由位移跃变与横向应力的关系来描述;界面温度场由温度跃变与横向位移跃变的经验公式来描述;界面电场分别由电可导通假设、电不可导通假设和电半可导通假设来描述,获取了界面位移、温度和电势跃变的线性表达。基于这些界面假设,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。算例表明,不同的界面电学假设对弹性场的影响有限,对电场的影响显著,其中电不可导通假设在各种载荷下均产生最大的界面电势跃变。算例提供的数值结果可作为后续研究比较之用。

The constitutive laws at weak interfaces in piezoelectric composite laminates are multi-fields coupling. Interfacial elastic field is characterized by the relation between the interracial displacement jumps and the interfacial transverse stresses. Interracial temperature field is characterized by the relation between the interfacial temperature jump and the interfacial normal opening. Interfacial electric field is characterized by one assumption： electrically permeable, impermeable or semi-permeable. In this paper, the jumps of interfacial displacements, temperature and electric potential are obtained in linear forms. Based on forgoing assumptions, the piezothermoelastic coupling solutions of simply supported piezoelectric laminates with weak interfaces in cylindrical bending are deduced. The numerical examples show that the choice of interfacial electric assumptions has slight effect on the elastic field, but substantial effect on the electric field. Electrically impermeable assumption results in the maximum interfacial potential jump under all load cases. Some benchmark numerical results may be used as reference for further studies.