Peridynamic plates and flat shells: A non-ordinary, state-based model

This paper builds on the peridynamic state-based beam model to represent the bending of a Kirchhoff–Love plate. This model is non-ordinary and derived from the concept of a rotational spring between bonds. A simple extension of the beam model reproduces plate bending with a Poisson ratio of ν=13, which can be combined with a 2D linear peridynamic solid model to simulate mixed in-plane and transverse loading. The addition of an isotropic bending state term extends the model to arbitrary Poisson ratios. Simple test cases demonstrate the model’s performance.