Peridynamic simulation of dynamic fracture in functionally graded materials subjected to impact load

Abstract

Dynamic crack propagation assessment in functionally graded materials (FGMs) with micro-cracks is accomplished using bond-based Peridynamics (PD). The dynamic fracture behaviour of various FGMs' material models is studied in Kalthoff-Winkler experiment. Dynamic crack growth predictions and associated material damage of the specimen under dynamic loading conditions are considered. The effect of micro-cracks near macro-crack tips on the toughening mechanism is evaluated in terms of crack propagation velocities. Stochastically pre-located micro-cracks are modelled to obtain the toughening effect in the material. Additionally, the velocities and time required for fracture are compared in different FGM cases. It is frankly found that if a crack propagates in the harder region of the specimen, velocities decrease and toughness increase in contrast to the softer region. Furthermore, micro-cracks around a macro-crack decelerate the crack propagation and enhance toughening mechanism in FGM body depending on gradation of material properties.

Thermomechanical phase change peridynamic model for welding analysis

“…The implementation of the heat flux from heat source in peridynamic heat transfer equation can be achieved by evaluating the rate of the heat flow into the surface area and transforming it to the volumetric heat generation per unit volume ℎ 𝑞 (𝒙, 𝑡). Therefore, the heat flux is employed as a volumetric heat generation on the material point and can be defined as [25] ℎ 𝑞 (𝒙, 𝑡) = − 𝑞(𝒙, 𝑡) • 𝒏 ∆𝑥 (21) where 𝑞 is the heat flux, ∆𝑥 is the spacing between material points and 𝒏 is the normal vector to the surface.…”

“…al. [21] performed dynamic fracture analysis of functionally graded materials by using peridynamics. De Meo et.…”

Enine darbe yükü altındaki tel halatların peridinamik teorisi ile modellenmesi ve analizi

“…Ufuk yarıçapı, malzeme noktasının etkileşimde olduğu aile üyesi sayısını kontrol etmektedir. Son yıllarda PD kullanılarak birçok kırılma modellemesi çalışması yapılmıştır [25][26][27]. Literatürde kırık ilerleme hızını PD ile modelleyen çalışmalar mevcuttur [28][29][30][31].…”

Beam buckling analysis in peridynamic framework

“…This allows the analysis of evolving discontinuities such as cracks in a natural way. Recent numerical studies illustrate the ability of peridynamics to capture complex fracture phenomena such as crack initiation [11,14,20], crack branching [7], crack kinking [5] and crack interaction with initial heterogeneities, such as holes and pores [1,2,16,27].…”