Defect-free graphene is believed to be the strongest material. However, effective strength of engineering used large-area in which defects are inevitable actually determined by fracture toughness, rather than intrinsic that governs breakage atomic bonds perfect graphene. Due limitations commonly adopted experiments, conventional continuum mechanics–based methods and fully atomistic simulations,...

Abstract Peridynamics (PD) has been introduced to account for long range internal force/moment interactions and extend the classical continuum mechanics (CCM). PD equations of motion are derived in form integro‐differential only few analytical solutions these presented literature. The aim this paper is present beam both static dynamic loading conditions. Applying trigonometric series, general d...

In this paper, we use a 2D bond-based peridynamic model to investigate the strength of disk-shaped particles including pre-cracks. We diametral (or Brazilian) test break particles. For flawless particles, find that stress distribution compares well with an analytical accounting for size contact zone, and particle stiffness tends linearly well-defined value increasingly resolved meshing. then in...

With the development of advanced manufacturing technologies, importance functionally graded materials is increasing due to their advantages over widely used traditional composites. In this study, a new higher order beam formulation presented by using peridynamics. Both thin and thick beams can be analysed formulation. Moreover, there no need use shear correction factor. Euler-Lagrange equations...

Abstract Peridynamic theory has been shown to possess the capabilities of describing phenomena that theories based on partial differential equations are not capable describing. These include nonlocal interactions and presence singularities in system responses. To exploit offered by peridynamics homogenization heterogenous media, a computational peridynamic correspondence model (non-ordinary sta...