Shell-based Peridynamics for the Modelling of Isotropic and Composite Structures

Unveiling improvements in the nonlocal theory of the Peridynamics, this book brings recent developments and new extensions to the standard Peridynamic method, making it capable of solving shell-like structures, while keeping its character of a strong formulation based on the interactions between pairs of material points, called “Peridynamic bonds”. The proposed formulation is a natural extension of the standard continuum Peridynamics, allowing thin structures to be modelled using only one layer of particles at the mid-surface of the structure, contrary to the standard continuum Peridynamics.
The book navigates the mechanics formulation of the Peridynamic Timoshenko beam and Reissner-Mindlin plate and presents breakthrough strategies for shear-locking in thin structures. Enhanced methods are introduced for analysing fibre-reinforced composites, offering precision in predicting damage patterns in composite structures when subjected to low and moderate velocity impacts.