  We present a comprehensive rotation-free Kirchhoff-Love (KL) shell
formulation for peridynamics (PD) that is capable of modeling large
elasto-plastic deformations and fracture in thin-walled structures. To remove
the need for a predefined global parametric domain, Principal Component
Analysis is employed in a meshfree setting to develop a local parameterization
of the shell midsurface. The KL shell kinematics is utilized to develop a
correspondence-based PD formulation. A bond-stabilization technique is employed
to naturally achieve stability of the discrete solution. Only the mid-surface
velocity degrees of freedom are used in the governing thin-shell equations. 3D
rate-form material models are employed to enable simulating a wide range of
material behavior. A bond-associative damage correspondence modeling approach
is adopted to use classical failure criteria at the bond level, which readily
enables the simulation of brittle and ductile fracture. \NAT{Discretizing the
model with asymptotically compatible meshfree approximation provides a scheme
which converges to the classical KL shell model while providing an accurate and
flexible framework for treating fracture.} A wide range of numerical examples,
ranging from elastostatics to problems involving plasticity, fracture, and
fragmentation, are conducted to validate the accuracy, convergence, and
robustness of the developed PD thin-shell formulation. It is also worth noting
that the present method naturally enables the discretization of a shell theory
requiring higher-order smoothness on a completely unstructured surface mesh.
