Fracture simulation of viscoelastic membranes by ordinary state-based peridynamics

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. In this regard, a viscoelastic material model in the ordinary state-based peridynamic framework is proposed to capture crack propagation in polymeric water treatment membranes. The deformation state is decoupled into dilatational and distortional parts, and it is assumed that the dilatational part of deformation is elastic, while the distortional part 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.