Higher-order 2-D/3-D layerwise mechanics and finite elements for composite and sandwich composite plates with piezoelectric layers

Coupled higher-order layerwise piezoelectric laminate mechanics are presented, applicable to composite and sandwich composite plates subjected to static mechanical loads and/or electric voltages. In the development of these formulations through-thickness compressibility is either considered (3-D) or neglected (2-D). Their advantage compared to linear layerwise theories lies in the efficient prediction of the local through-thickness response by using a gross through-thickness discretization, while retaining simplicity in through-thickness kinematic assumptions. Moreover, they enable prediction of interlaminar shear and transverse normal stress at the interface between discrete layers, which is crucial information for prediction of delamination initiation. Using the developed mechanics, the effects of transverse compressibility and ply angle on the local through-thickness response of composite and sandwich plates are studied.