Dynamic Analysis of Composite Laminates with Multiple Delamination Using Improved Layerwise Theory

Vibration of delaminated multilayer beams

“…Finite element models have been presented by Ju et al [27] using the Mindlin plate theory, Kim et al [28,29] using the first-order zig-zag theory and Cho and Kim [30] using the higher-order zig-zag theory. Threedimensional finite element models were presented by Tenek et al [31] and Yam et al [32].…”

Vibration of composite beams with two overlapping delaminations

“…Finite element methods were developed by Ju et al [23] using the Mindlin plate theory, Cho and Kim [24] using the higher-order zig-zag theory and Kim et al [25,26] using the layerwise theory.…”

Modeling delamination in composite structures by incorporating the Fermi–Dirac distribution function and hybrid damage indicators

“…To reduce the number of structural unknowns, Cho and Kim [11,12] developed a higher-order zig-zag theory for laminated composite plates with multiple delaminations. Similarly, Kim et al [13,14] proposed an improved layerwise theory to characterize delamination of laminated structures.…”

“…Conventional finite element approaches for modeling delaminations in laminated composite structures use sub laminates technique [15][16][17] or the Heaviside unit step function [11][12][13][14]18] to model possible jumps in the displacement field due to delamination allowing slipping and separation at the delaminated interface. Normally, sub laminates technique or Heaviside unit step function are not easy to model smooth transition in the displacement and the strain field of the delaminated interfaces.…”