A kernel derivative free SPH method

Feng, Dongyan; Imin, Rahmatjan

doi:10.1016/j.rinam.2023.100355

Cited by 4 publications

(2 citation statements)

References 38 publications

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“…The SPH method is a meshless pure Lagrangian method with interpolation theory at its core [47,48], and its essence is to discretize a continuum with physical quantities such as mass and velocity into interacting particles and then to solve for the discrete individual particles to obtain the overall information of the continuum [49,50]. Any macroscopic variable function of a continuous variable field is represented as an integral form by smooth approximate interpolation, which can be expressed as:…”

Section: Brief Introduction To Sphmentioning

confidence: 99%

Simulation of Mouldboard Plough Soil Cutting Based on Smooth Particle Hydrodynamics Method and FEM–SPH Coupling Method

Jin,

Ma,

Wang

et al. 2023

Agriculture

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In the field of agricultural machinery, various empirical field tests are performed to measure the tillage force for precision tillage. However, the field test performance is costly and time-consuming, and there are many constraints on weather and field soil conditions; the utilization of simulation studies is required to overcome these shortcomings. As a result, the SPH method and the coupled FEM-SPH method are used in this paper to investigate the mouldboard plough–soil interaction. In this paper, the finite element software LS-DYNA was used to build the SPH model and the FEM-SPH coupling model of soil cutting, as well as to investigate the change in cutting resistance during the soil cutting process. The simulation results are compared with those of the experiments, and the curves of the simulation and experiment are in good agreement, which verifies the reliability of the model. The validated simulation model was used to investigate the effects of the cutting speed, depth of cut, inclination angle, and lifting angle of the mouldboard plough on cutting resistance. The simulation studies show that the SPH model takes 5 h and 2 min to compute, while the FEM-SPH coupled model takes 38 min; obviously, the computational efficiency of the FEM-SPH coupled model is higher. The relative errors between the SPH model and the experiment are 2.17% and 3.65%, respectively. The relative errors between the FEM-SPH coupled model and the experiment are 5.96% and 10.67%, respectively. Obviously, the SPH model has a higher computational accuracy. The average cutting resistances predicted by the SPH model and the FEM-SPH coupled model, respectively, were 349.48 N and 306.25 N; these resistances are useful for precision tillage. The cutting resistance increases with the increase in cutting speed and is quadratic; the cutting resistance increases with the increase in cutting depth and is quadratic; the horizontal cutting resistance and the combined cutting resistance increase with the increase in inclination angle, while the vertical cutting resistance remains essentially constant with the increase in inclination angle; the horizontal cutting resistance and combined cutting resistance increase as the lifting angle increases, while the vertical cutting resistance decreases as the lifting angle increases.

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Section: Brief Introduction To Sphmentioning

confidence: 99%

Simulation of Mouldboard Plough Soil Cutting Based on Smooth Particle Hydrodynamics Method and FEM–SPH Coupling Method

Jin,

Ma,

Wang

et al. 2023

Agriculture

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show abstract

“…Khayyer et al [17] presented the corresponding ISPH-HSPH FSI solver for 3D composite structures and their interactions with incompressible fuids, which can be capable of handling large material anisotropies and discontinuities at material interfaces without the use of any artifcial stabilizers/ smoothing schemes. Feng and Imin [18] presented the KDF-SPH method, which has higher accuracy and better convergence than the traditional SPH method. Zhao et al [19] put forward the PB-SPH method to simulate the fracture of the rock with preexisting faws, and the results show that this method can be well applied to rock mechanics engineering.…”

Section: Introductionmentioning

confidence: 99%

Antipenetration Performance of Multilayer Protective Structure by the Coupled SPH-FEM Numerical Method

Yang

Ren

et al. 2023

Shock and Vibration

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Multilayer composite structures have significant advantages in antipenetration protection. Problems such as element distortion are more likely to occur when the FEM is used to simulate the heterogeneous composite structure against penetration with large deformation. A coupled smoothed particle hydrodynamic (SPH)-FEM is proposed to simulate the antipenetration performance of multilayer protective structures under the penetration of high-speed hemispherical-nosed projectiles. The large deformation and broken areas are calculated by the SPH method, which overcomes the problem of element distortion in FEM. In other areas, the FEM is used to improve the calculation efficiency. The results indicated that simulating multilayer plates using the coupled SPH-FEM can achieve the ballistic limit and deformation that agree with the experiment. Moreover, the deformation of single-layer, in-contact double-layer, spaced double-layer, and sandwich target plates with a core layer of water was studied and discussed. The influence of the faceplate and core layer on the penetration resistance performance was discussed in this paper by applying LSDYNA to establish the model of 3D SPH-FEM and calculate the dynamic process. In addition, the relationship between initial-residual velocity, deformation, and damage failure behavior was obtained.

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A meshless particle method for solving time-fractional wave equations

Ma,

Imin

2024

Comp. Part. Mech.

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A kernel derivative free SPH method

Cited by 4 publications

References 38 publications

Simulation of Mouldboard Plough Soil Cutting Based on Smooth Particle Hydrodynamics Method and FEM–SPH Coupling Method

Simulation of Mouldboard Plough Soil Cutting Based on Smooth Particle Hydrodynamics Method and FEM–SPH Coupling Method

Antipenetration Performance of Multilayer Protective Structure by the Coupled SPH-FEM Numerical Method

A meshless particle method for solving time-fractional wave equations

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