Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics

Dimola, Nunzio; Coclite, Alessandro; Fanizza, Giuseppe; Politi, T.

doi:10.1186/s13662-022-03732-6

Cited by 13 publications

(2 citation statements)

References 89 publications

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“…It assumes that in the material region R, each material point x can interact with other points x′ within a cut-off distance 𝛿 [32], also called horizon size, as seen in Figure 4, where Hx denotes the horizon of x. In peridynamics, the equation of motion can be expressed as [33] 𝜌𝑢 ¨(𝑥, 𝑡) = 𝑓(𝑢(𝑥, 𝑡), 𝑢 (𝑥, 𝑡), 𝑥, 𝑥 , 𝑡)d𝑉 + 𝑏(𝑥, 𝑡)…”

Section: Bond-based Peridynamicmentioning

confidence: 99%

Research on Crack Propagation of Nitrate Ester Plasticized Polyether Propellant: Experiments and Simulation

Liu,

Wang,

2024

Materials

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To understand the fracture properties of the nitrate ester plasticized polyether (NEPE) propellant, single-edge notched tension (SENT) tests were carried out at room temperature (20 °C) under different tensile rates (10–500 mm/min). The mechanical response, crack morphology, evolution path, and crack propagation velocity during the fracture process were studied using a combination of a drawing machine and a high-speed camera. The mode I critical stress intensity factor KIc was calculated to analyze the tensile fracture toughness of the NEPE propellant, and a criterion related to KIc was proposed as a means of determining whether the solid rocket motors can normally work. The experimental results demonstrated that the NEPE propellant exhibited blunting fracture phenomena during crack propagation, resulting in fluctuating crack propagation velocity. The fracture toughness of the NEPE propellant exhibited clear rate dependence. When the tensile rate increased from 10 mm/min to 500 mm/min, the magnitude of the critical stress intensity factor increased by 62.3%. Moreover, numerical studies based on bond-based peridynamic (BBPD) were performed by modeling the fracture process of the NEPE propellant, including the crack propagation speed and the load–displacement curve of the NEPE propellant. The simulation results were then compared with the experiments.

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Section: Bond-based Peridynamicmentioning

confidence: 99%

Research on Crack Propagation of Nitrate Ester Plasticized Polyether Propellant: Experiments and Simulation

Liu,

Wang,

2024

Materials

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“…In that case the study of the interplay between nonlocality and dispersion has revealed interesting features related to the asymptotic at low and high frequencies, suggesting new pictures in the framework of wave propagation in continua where nonlocal characteristics are taken into account. The numerical aspects of the problem have been studied in [2,4,7].…”

Section: Introductionmentioning

confidence: 99%