Higher-order coupled and uncoupled analyses of free edge effect in piezoelectric laminates under mechanical loadings

In this paper, an analytical solution is presented to study the effect of electromechanical coupling on the interlaminar stresses at the free edges of piezoelectric laminated plates. The finite width laminated piezoelectric plates are subjected to uniform axial strain. The equilibrium equations along with the appropriate boundary conditions are obtained by choosing a suitable displacement field based on fourth-order shear-thickness deformation theory and using the principle of minimum total potential energy. The analytical solutions are obtained and the results are compared with those available in the literature. It is found that the interlaminar stresses at the free edges are significantly higher in the coupled case for cross-ply laminates, whereas the coupling effect for symmetric angle-ply laminates is of minor significance.

[1]  Paolo Gaudenzi,et al.  Multi-layer higher-order finite elements for the analysis of free-edge stresses in piezoelectric actuated laminates , 2003 .

[2]  Paul R. Heyliger,et al.  Static Behavior of Piezoelectric Laminates with Distributed and Patched Actuators , 1994 .

[3]  J. N. Reddy,et al.  On laminated composite plates with integrated sensors and actuators , 1999 .

[4]  In Lee,et al.  Analysis of composite plates with piezoelectric actuators for vibration control using layerwise displacement theory , 1998 .

[5]  Y. C. Fung,et al.  Foundation of Solid Mechanics , 1966 .

[6]  H. Kotera,et al.  Experimental and theoretical investigations of delamination at free edge of interface between piezoelectric thin films on a substrate , 2005 .

[7]  K. Y. Dai,et al.  Static and vibration control of composite laminates integrated with piezoelectric sensors and actuators using the radial point interpolation method , 2004 .

[8]  Claire Ossadzow-David,et al.  Multilayered Piezoelectric Refined Plate Theory , 2003 .

[9]  W. Becker,et al.  Coupled and uncoupled analyses of piezoelectric free-edge effect in laminated plates , 2005 .

[10]  M. Ray,et al.  Performance of Smart Damping Treatment Using Piezoelectric Fiber-Reinforced Composites , 2005 .

[11]  J. Reddy.  Mechanics of laminated composite plates and shells : theory and analysis , 1996 .

[12]  O. Tekinalp,et al.  A layerwise approach to piezo-electric plates accounting for adhesive flexibility and delaminated regions , 2005 .

[13]  Amâncio Fernandes,et al.  Analytical and numerical approaches to piezoelectric bimorph , 2003 .

[15]  Grant P. Steven,et al.  Piezoelectric actuator orientation optimization for static shape control of composite plates , 2002 .

[16]  G. Prathap,et al.  Bending Behavior of Piezo-Hygrothermo-Elastic Smart Laminated Composite Flat and Curved Plates with Active Control , 2004 .

[17]  S. Danforth,et al.  A theoretical study of the coupling effects in piezoelectric ceramics , 1999 .

[18]  Masoud Tahani,et al.  Accurate Determination of Interlaminar Stresses in General Cross-Ply Laminates , 2004 .

[19]  Amâncio Fernandes,et al.  An accurate modelling of piezoelectric multi-layer plates , 2002 .