We derive the Eulerian formulation for a peridynamic (PD) model of Newtonian viscous flow starting from fundamental principles: conservation mass and momentum. This is nonlocal, different models that utilize numerical methods like, e.g., so-called “peridynamic differential operator” to approximate solutions classical Navier-Stokes equations. show continuity equation limiting case PD one, assumi...

Peridynamics (PD) is a reformulation of the classical continuum mechanics. Its core consists in that weighted integral relative displacement over spatial domain used instead derivative governing equations deformation. Based on an improved technique exerting traction boundary surface, peridynamic motion equation has been proposed within framework peridynamic(PD) theory. It more natural and easie...

Fatigue design assessment is a crucial step in the process of ships and offshore structures. To date, stochastic approach commonly used to calculate total lifetime accumulated fatigue damage probability failure for Meanwhile, details initiation propagation are infrequently investigated. In terms predicting crack growth, traditional approaches face conceptual mathematical difficulties nucleation...

With the development of advanced manufacturing technologies, importance functionally graded materials is growing as they are advantageous over widely used traditional composites. In this paper, we present a novel peridynamic model for higher order functional plates various thicknesses. Moreover, formulation eliminates usage shear correction factors. Euler–Lagrange equations and Taylor’s expansi...