Original sentence: , in static and quasi-static settings
Edited sentence: For these dynamic settings, there is very little mathematical analysis available, both for peridynamics and alternate approaches that use partial differential equations.It should be noted that techniques such as variational methods and the existence and convergence results that emerge are entirely for static equilibrium settings or else for very special cases.Realistic engineering problems require dynamic modeling of crack growth, fracture, and fragmentation, which is the goal of peridynamics