The internal debonding effects on implicit transient responses of the shear deformable layered composite plate under the mechanical transverse (uniform and sinusoidal) loading are analyzed in this article. The physics of the laminated composite plate with internal debonding has been expressed mathematically via two kinds of midplane displacement functions based on Reddy's simple shear deformation kinematic theory. The geometrical nonlinearity of the debonded plate structure is estimated using total Lagrangian method. The time–displacement characteristics are evaluated numerically using the nonlinear finite element method (FEM). The governing equation of motion of the debonded laminated structure has been derived using the total Lagrangian method and solved numerically with the help of Newmark's time integration scheme in association with the direct iterative method. For the computation of output, a suitable matlab program is written by the use of the presently developed higher order nonlinear model. The consistency and the accuracy of the proposed complex numerical solutions have been established through the appropriate convergence and the comparison study. Finally, a series of numerical examples have been examined to address the influence of the size, the position, and the location of internal damage along with the material and geometrical parameter (modular ratio, side to thickness ratio, aspect ratio, and the boundary condition) on the nonlinear transient responses of delaminated composite plate and discussed in detail.

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