This study applies the Peridynamic Differential Operator (PDDO) to solve forthe equilibrium equations of Classical Laminate Theory (CLT) for progressivefailure analysis of composites without employing a stiffness degradation factor.The PD representation of the displacement derivatives and the transformed reducedstiffness matrix permits the evolution of fiber and matrix cracking duringdeformation, and enables the modeling of progressive failure. In the derivation ofequilibrium equations of CLT, the transformed reduced stiffness matrix isconsidered as spatially varying unlike the common assumption of its uniformvariation. The PD representation of these equations enables the modeling ofprogressive failure during the deformation through the removal of PD interactions(bonds). The stiffness degradation is natural, and it is achieved by removing the PDbonds. The numerical results concern unidirectional laminates and a symmetriccross-ply laminate with a through-the-thickness crack under tension, and a nonsymmetriccross-ply laminate with a crack only in the bottom ply subjected to auniform distributed load.
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