Abstract
A new coupled consistent third-order theory (CTOT) is presented which, unlike the existing third-order theory (TOT), satisfies exactly the shear traction-free conditions at the top and bottom of a hybrid beam for any electrical boundary condition. The potential field is discretized layerwise as piecewise linear. The axial and transverse electric fields are considered. The deflection is approximated as uniform across the thickness and the longitudinal displacement is approximated as a third-order variation. The field equations and the boundary conditions are derived from the Hamilton’s principle. Analytical solutions are obtained for simply-supported beams for static and harmonic electromechanical load, and for natural frequencies. The theory is assessed by comparing the results with 2D exact piezoelasticity solution.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
