Free edge coupling effect of piezoelectric cross-ply laminated plates

摘要

Free edge effect of laminated plates has been extensively investigated in the past two decades.Due to the boundary condition limitation,very limited work on piezoelectric laminated plates with free edges was carried out.In this paper,coupled and uncoupled analytical analyses on the interlaminar stresses in the vicinity of the free edges of piezoelectric laminated plates are presented on the basis of three-dimensional elasticity and piezoelectricity.The state space equations for cross-ply piezoelectric laminates subjected to uniaxial extension are obtained by considering all independent elastic and piezoelectric constants.The equations satisfy the boundary conditions at free edges and the continuity conditions across the interfaces between plies of the laminates.Three dimensional exact solution is sought and validated by comparing present numerical results with those of existing approximate analytical and finite element models.The singularity of the interlaminar stresses near the free edges is confirmed and the electromechanical coupling effects give much higher interlaminar stresses at the free edges in comparison with those of the corresponding uncoupled cases.