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 v 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. (C) 2014 Elsevier Ltd. All rights reserved.