Micromechanical modelling of piezocomposite nanocomposite shell

Abstract

Flexoelectricity shows both direct effect and converse effect. In this project, the analytical model and numerical modal were developed to show the piezoelectric effect and flexoelectric effect on cylindrical shell with laminated piezo/flexoelectric graphene-based composite patches. For the flexoelectric nano shell, the dynamic is derived which is based on the Kirchhoff-Love thin shell assumptions and direct flexoelectric effect and also, in my study, the conical nano shell which is laminated a graphene-based nanocomposite which is produced a sensing signal. The electromechanical behavior such as deformation and strain of cylindrical graphene reinforced nano composite (GRNC) nano-shell were investigated which is subjected to simply supported loading and validated with the finite element (FE) method. In conical shell, the distributed total sensing signal based upon the bending statin when apply gradient effect. The total sensing signal that is combination of consists of the circumferential curved strain and longitudinal curved strain. For lower order modes, the analytical results represented that the longitudinal curved strain that is the effective contribution of the total sensing signal due to flexoelectric sensing signal induced. The circumferential polarization increases due to bending strain when increasing the mode number in circumferential direction. In case lower modes, the graphene based flexoelectric sensor for shallow nano shells shifts to the middle and also, the best location of flexoelectric sensor is at the minor end. In case higher modes, best location of flexoelectric sensing signal is mid of the nano shell. When the semi apex angle of nano conical shell is increasing then flexoelectric sensing signal shift to the major end and after that sensing signal shift to the minor end. In parametric studies like radius of the nano shell, length of nano shell and thickness of the GNRC patch. Numerical results represented the role of circumferential curved strain gradient is slightly high where the role of longitudinal curved strain gradient is effective in the total sensing signals for GRNC based nano shell extremely investigate modes other than modes 1 and mode 2. The electric potential of the modal sensing signals of GRNC decreases with respect to nano shell radius while increase with the GNRC patch thickness.