  Most peridynamics models adopt regular point distribution and unified
horizon, limiting their flexibility and engineering applications. In this work,
a micropolar peridynamics approach with non-unified horizon (NHPD) is proposed.
This approach is implemented in a conventional finite element framework, using
element-based discretization. By modifying the dual horizon approach into the
pre-processing part, point dependent horizon and non-unified beam-like bonds
are built. By implementing a domain correction strategy, the equivalence of
strain energy density is assured. Then, a novel energy density-based failure
criterion is presented which directly bridges the critical stretch to the
mechanical strength. The numerical results indicate the weak mesh dependency of
NHPD and the effectiveness of the new failure criterion. Moreover, it is proven
that damage of solid with different non-local effects can lead to similar
results by only adjusting the mechanical strength.
