A Computationally Efficient <mml:msup>C0</mml:msup> Continuous Finite-Element Model for Static and Free Vibration Analysis of Delaminated Composite Plates in a Nonpolynomial Axiomatic Framework

This study examines the bending and free vibration behaviors of delaminated composite plates using inverse hyperbolic shear deformation theory (IHSDT). This theory incorporates a nonlinear shear stress distribution and inherently satisfies the traction-free boundary conditions at the top and bottom surfaces, thus omitting the shear correction factor. The approach employed is based on the finite element method utilizing eight-noded isoparametric elements. This study examines how the size, location, and stacking sequence of delaminations impact the flexural properties of the plates. Furthermore, the research delves into other geometric parameters, including delamination thickness and shape, to know their influence. The primary objective of the study is to determine the most effective configurations for mitigating the adverse consequences of delaminations. To develop design guidelines and optimization techniques for structurally strong and efficient composite structures, the results provide valuable insights into the static and free vibration behavior of delaminated composite plates. Overall, this study advances the field and enhances design practices by conducting a complete analysis of the static and dynamic behavior of delaminated composite plates.