A scaled boundary finite element method for bending analysis of fiber-reinforced piezoelectric laminated composite plates

摘要: Abstract The main purpose of this study is to develop a high performance numerical model for the analysis coupled electromechanical effects fiber-reinforced piezoelectric laminated composite plate under mechanical or electric loading. Considering that made N orthotropic layers with material axes oriented arbitrarily respect laminate coordinate, three-dimensional (3D) theory elasticity kth (piezoelectric) lamina applied establishment mathematic by using elastic displacements and potential as nodal degree freedom. scaled boundary finite element method (SBFEM) coupling precise integration technique (PIT) are used obtain solution. Under formulations SBFEM, only in-plane structure discretized into two-dimensional (2D) elements thus spatial dimension reduced one. By introducing dual vector internal force, SBFEM governing equation described an analytic formulation along through-thickness matrix exponential function which can be estimated accuracy PIT. In addition, order spectral description basic variables so complicated curved boundaries accurately determined. At same time, assuming generalized displacement field quadratic thickness coordinate each layer, then strain stress fields determined directly based on strain-displacement relations constitutive in system. Numerical results show good agreement achieved few discrete nodes both thin moderately thick different types loads through comparison 3D exact solutions has also been validated. Moreover, two examples including square complex configuration (involving fiber orientation distribution layers) circular/annular further discussed demonstrate applicability present formulations.