Efficient Layerwise Model for Composites with Shear-mode Piezoelectric Transducers Satisfying Continuity

  • Tripathi, Prakalp (Indian Institute of Technology Delhi)
  • Kapuria, Santosh (Indian Institute of Technology Delhi)

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Structural health monitoring and adaptive control of smart laminated structures demand coupled electromechanical finite element formulations that are both computationally efficient and accurate. In adaptive structures, piezoelectric transducers may be surface-mounted or embedded within the host laminate. Piezoelectric transducers, when poled perpendicular to the applied electric field, induce transverse shear deformation, referred to as shear-mode (SM) actuation. When placed along the neutral axis of the laminate, the SM transducer enables selective actuation and sensing of particle motion, making this actuation mechanism particularly advantageous for embedded piezoelectric transducers. A major challenge in modelling piezolaminated structures arises from the mismatch in displacement kinematics between the host laminate and the region containing the piezoelectric transducer. This work presents a finite element formulation based on an efficient layerwise zigzag theory (ZIGT) for the static and free vibration analysis of laminated beams and panels integrated with embedded SM piezoelectric transducers. The ZIGT assumes the in-plane displacement to follow global third-order variation with linear layerwise variation and piecewise quadratic electric potential variation across the thickness of the piezoelectric layer. The continuity of the displacement fields at the intersections (transducer front) of the laminate integrated with transducers and the host laminate is maintained using the hybrid point-least squares continuity model. The transducer front continuity is shown to have a significant effect on the accuracy.