Static analysis of laminated composite smart shells with considering the effect of the shear piezoelectric actuator using the isogeometric approach

Investigation of effects of the piezoelectric shear actuator on the static response of cross-ply laminated composite smart shells by using the isogeometric approach is the subject of this paper. In the analysis of laminated smart shells, the Mindlin-Reissner theory (first-order shear deformation theory) is used. The isogeometric approach has here been employed that utilizes the Non-Uniform Rational B-Splines (NURBS) of various orders to approximate the variables defining the geometry of smart shell as well as the unknown functions. In this research, the effect of different boundary conditions on structural transverse deformation by applying electric field has been studied. In the considered cases, smart shells possess two simply supported parallel edges while the other two edges are considered as a combination of free, clamped or simple supports. Also, study of the shear effects of the piezoelectric actuator on various factors, including the radius of curvature of the shell as well as the simultaneous mechanical and electrical loadings are amongst the objects of this article. To demonstrate the efficiency and accuracy of the isogeometric approach in the study of shear effects of the piezoelectric actuators, several numerical examples are presented and the obtained results indicate the desirability of the proposed approach.