Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in 2000 . The roots of PD can be traced back to the early works of Gabrio Piola according to dell'Isola et al. . PD has been attractive to researchers as it is a nonlocal formulation in an integral form; unlike the local differential form of classical continuum mechanics. Although the method is still in its infancy, the literature on PD is fairly rich and extensive. The prolific growth in PD applications has led to a tremendous number of contributions in various disciplines. This manuscript aims to provide a concise description of the peridynamic theory together with a review of its major applications and related studies in different fields to date. Moreover, we succinctly highlight some lines of research that are yet to be investigated.
|Journal||Mathematics and Mechanics of Solids|
|Publication status||Accepted/In press - 5 Sep 2018|
- continuum mechanics
- nonlocal elasticity