Review of Peridynamics: Theory, Applications, and Future Perspectives

Ladányi, Gábor; Gonda, Viktor

doi:10.5545/sv-jme.2021.7289

Cited by 6 publications

(2 citation statements)

References 75 publications

(105 reference statements)

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“…The bond force 𝑓 is a function of the relative position vector 𝜉 in the reference configuration and the relative displacement vector 𝜂 in the current configuration [34]. As shown in Figure 5, they can be expressed as [35] 𝜉 = 𝑥′ − 𝑥…”

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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“…Peridynamics was firstly proposed by Silling [ 1 ] and then further improved by Silling and his collaborators [ 2 ]. Since then, it has been applied to investigate various problems associated with wave, damage, fracture, and impact breakage [ 3 , 4 , 5 , 6 , 7 , 8 , 9 ]. However, the traction boundary condition is incompatible with peridynamics because the governing equation of original peridynamics appears in the form of an integro-differential equation and does not involve the gradient with respect to spatial position.…”

Section: Introductionmentioning

confidence: 99%

Traction-Associated Peridynamic Motion Equation and Its Verification in the Plane Stress and Fracture Problems

Zhou

Huang

2023

Materials

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How to prescribe traction on boundary surface is still an open question in peridynamics. This problem is investigated in this paper. Through introducing the induced body force defined by boundary traction, the Silling’s peridynamic motion equation is extended to a new formulation called the traction-associated peridynamic motion equation, which is verified to be compatible with the conservation laws of linear momentum and angular momentum. The energy conservation equation derived from the traction-associated peridynamic motion equation has the same form as that in the original peridynamics advanced by Silling. Therefore, the constitutive models of the original peridynamics can be directly applied to the traction-associated peridynamic motion equation. Some benchmark examples in the plane stress problems are calculated. The numerical solutions agree well with the classical elasticity solutions, and the volume correction and the surface correction are no longer needed in the numerical algorithm. These results show that the traction-associated peridynamic motion equation not only retains all advantages of the original peridynamics, but also can conveniently deal with the complex traction boundary conditions.

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Traction‐associated peridynamic model and non‐uniform discretization simulation of plane axisymmetric problems

Yu,

Zhou,

Huang

2024

Z Angew Math Mech

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Using the recently developed traction‐associated peridynamic motion equation (TPME), we investigate the plane axisymmetric problems of elastic deformation. The polar coordinate form of TPME is derived for a plane axisymmetric problem. The transfer function matching with prototype microelastic (PM) model is determined by the inverse method in a one‐dimensional case, and then it is directly extended to plane axisymmetric elasticity problems and plane problems. We promote a strategy to deal with the horizon in the non‐uniform discretization scheme. Based on this strategy, the non‐uniform discretization scheme is used to solve the elastic deformation of a hollow circular plate subjected to uniform inner and outer pressures. Total process from elastic deformation to failure of the hollow circular plate under tension is simulated completely. The results show that TPME does not only need volume and surface corrections, but also can deal with the complex traction boundary conditions conveniently.

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Review of Peridynamics: Theory, Applications, and Future Perspectives

Cited by 6 publications

References 75 publications

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

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

Traction-Associated Peridynamic Motion Equation and Its Verification in the Plane Stress and Fracture Problems

Traction‐associated peridynamic model and non‐uniform discretization simulation of plane axisymmetric problems

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