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In the present article, the variational energy principle and the Griffith-type fracture criterion are implemented to analyze the speed of through-the-width delamination growth of a buckled composite laminate with clamped edges, subjected to in-plane strains. The inertial effect has been included in the total energy equation. The formulations are based on the first-order shear deformation theory, and the thin film delamination model has been considered. By implementing the local growth condition at the crack tip, the governing equations are obtained through variational principle. The equations are then solved using fourth-order Runge–Kutta method. Subsequently, the results of current study have been compared with those available in the literature. The effects of shear deformation theory and bending extension coupling have been investigated and discussed for different non-dimensional load-geometry parameters.