We address extreme loading of structures using peridynamics. The peridynamic
model is a theory of continuum mechanics that is formulated in terms of
integro-differential equations without spatial derivatives. It is a nonlocal theory
whose equations remain valid regardless of fractures or other discontinuities that may
emerge in a body due to loading. We review peridynamic theory and its
implementation in the EMU computer code. We consider extreme loadings on
reinforced concrete structures by impacts from massive objects. Peridynamic theory
has been extended to model composite materials, fluids, and explosives. We discuss
recent developments in peridynamic theory, including modeling gases as peridynamic
materials and the detonation model in EMU. We then consider explosive loading of
concrete structures. This work supports the conclusion that peridynamic theory is a
physically reasonable and viable approach to modeling extreme loading of
structures.