We prove the existence and uniqueness of solution Cauchy problem for an integro-differential equation related to peridynamic model in mechanics solids.

This paper presents the first application of peridynamics theory for crystal plasticity simulations. A statebased theory of peridynamics is used (Silling et al., 2007) where the forces in the bonds between particles are computed from stress tensors obtained from crystal plasticity. The stress tensor at a particle, in turn, is computed from strains calculated by tracking the motion of surroundin...

We simulate the formation of spontaneous ruptures in supported phospholipid double bilayer membranes, using peridynamic modeling. Experiments performed on spreading double bilayers typically show two distinct kinds of ruptures, floral and fractal, which form spontaneously in the distal (upper) bilayer at late stages of double bilayer formation on high energy substrates. It is, however, currentl...