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Despite a load below the elastic limit is applied on a viscoelastic material, the material may fail after a long duration of constant loading because of the time-dependent viscous deformations. ln this regard, a viscoelastic material model in the ordinary statebased peridynamic framework is proposed to capture crack propagation in polymeric water treatment membranes. The defom1at ion state is decoupled into dilatational and distortional parts, and it is assumed that the dilatational part of defom1ation is elastic, while the distortional pru1 is considered as viscoelastic, whose behaviour can be represented by the Prony series. First, we verify our implementation with FEM results for a benchmark case. Afterwards, the crack propagation is studied by the viscoelastic ordinary state-based peridynamic model.