  Following on Part I of this work series on local kirigami mechanics, we
present a study of a discretely creased mechanism as a model to investigate the
mechanics of the basic geometric building block of kirigami--the e-cone. We
consider an annular disk with a single radial slit discritised by a series of
radial creases connecting kinematically flat rigid panels. The creases allow
both relative rotation and separation between panels, capturing both bending
and stretching deformations. Admissible equilibrium configurations are obtained
by penalising these deformations using elastic springs with stiffnesses derived
from compatible continuum plate deformations. This provides a tool to study
both inextensible and extensible e-cone configurations due to opening of the
slit and rotation of its lips. This creased model hence offers the possibility
to study the e-cone away from its isometric limit, i.e., for plates with finite
thickness, and explore the full range of post-buckling (far-from-threshold)
behaviour as well as initial buckling (near-threshold) instability. Our local
approach provides a fundamental understanding of kirigami phenomenology,
underpinned by a proper theoretical approach to geometry and mechanics.
