A Review of Peridynamics and its Applications; Part 2: Applications of Peridynamics to the Solution of Different Problems

In the published studies, peridynamics has been used to simulate crack growth in brittle and quasi-brittle materials, simulation of plastic behaviour and solution of differential equations. With such achievements, the extent of problems which can be solved using peridynamics is growing. Peridynamics was intended to analyze the impact and the wave propagation problems since its introduction. Due to existence of the characteristic length in peridynamics relations, it has been used to solve problems in various scales. Some researchers have also used peridynamics multiphysics models to analyze heat transfer, diffusion and fluid behavior problems. Analyzing the damage growth in composite materials and investigation of geomechanical problems are among other achievements of using peridynamics. In addition to all these cases, application of peridynamics to biological problems has also received attention in recent years. This paper reviews the studies on the applications of peridynamics in the solution of different problems.