Unloading of elastoplastic spheres from large deformations

Edmans, Ben; Sinka, I.C.

doi:10.1016/j.powtec.2020.06.094

Cited by 8 publications

(3 citation statements)

References 25 publications

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“…Majeed et al [ 40 ] provided a simple contact model based on elastic–plastic and fully plastic indentation theory, which can be applied to low-velocity impact [ 42 ] for different structures, half-space or composite layers. Edmans and Sinka [ 43 ] provided insight into contact behavior during unloading by conducting a finite element study to characterize complex nonlinear features during unloading. They concluded that a single synthetic measure of initial particle deformation relative to deformation at first yield is insufficient to characterize the unloading response at large displacements when considering both stiffness and nonlinearity results.…”

Section: Introductionmentioning

confidence: 99%

Unloading Model of Elastic–Plastic Half-Space Contacted by an Elastic Spherical Indenter

Xie,

Guo,

Ding

et al. 2024

Materials

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A new unloading contact model of an elastic–perfectly plastic half-space indented by an elastic spherical indenter is presented analytically. The recovered deformation of the elastic indenter and the indented half-space has been found to be dependent on the elastic modulus ratio after fully unloading. The recovered deformation of the indented half-space can be calculated based on the deformation of the purely elastic indenter. The unloading process is assumed to be entirely elastic, and then the relationship of contact force and indentation can be determined based on the solved recovered deformation and conforms to Hertzian-type. The model can accurately predict the residual indentation and residual curvature radius after fully unloading. Numerical simulations are performed to demonstrate the assumptions and the unloading model. The proposed unloading model can cover a wide range of indentations and material properties and is compared with existing unloading models. The cyclic behavior including loading and unloading can be predicted by combining the proposed unloading law with the existing contact loading model. The combined model can be employed for low-velocity impact and nanoindentation tests and the comparison results are in good agreement.

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Section: Introductionmentioning

confidence: 99%

Unloading Model of Elastic–Plastic Half-Space Contacted by an Elastic Spherical Indenter

Xie,

Guo,

Ding

et al. 2024

Materials

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“…For examples, the basic Hertz-Mindlin particle contact model is generally applied for contact analysis of conventional particles with obvious rolling features. Edmans et al [21] studied the interaction between particles by using DEM. The established static and dynamic multi-particle unloading relationships can more accurately simulate the compaction and flow characteristics of powders and therefore determine the contact area after unloading.…”

Section: Introductionmentioning

confidence: 99%

Kinematic modelling and experimental testing of a particle-jamming soft robot based on a DEM-FEM coupling method

Xu¹,

Ma²,

Jiang³

et al. 2023

Bioinspir. Biomim.

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Particle-jamming soft robots are characterised by high flexibility in motion and high stiffness when executing a task. Regarding particle jamming of soft robots, the discrete element method (DEM)-finite element method (FEM) coupling was used for modelling and control. At first, a real-time particle-jamming soft actuator was proposed by integrating advantages of the driving Pneu-Net and the driven particle-jamming mechanism. Then, DEM and FEM were separately employed to determine the force-chain structure of the particle-jamming mechanism and the bending deformation performance of the pneumatic actuator. Furthermore, the piecewise constant curvature method was adopted for forward and inverse kinematic modelling of the particle-jamming soft robot. Finally, a prototype of the coupled particle-jamming soft robot was prepared, and a visual tracking test platform was established. The adaptive control method was proposed to compensate for the accuracy of motion trajectories. The variable-stiffness performance of the soft robot was verified by conducting stiffness tests and bending tests. The results provide novel theoretical and technical support for the modelling and control of variable-stiffness soft robots.

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“…The elastic-plastic contact behavior between hemisphere and rigid plane is one of the fundamental problems in particle mechanics [1,2], contact mechanics [3][4][5][6][7][8][9], and biomechanics [10]. Mechanical surfaces are microscopically rough.…”

Section: Introductionmentioning

confidence: 99%

Research on Elastic–Plastic Contact Behavior of Hemisphere Flattened by a Rigid Flat

et al. 2022

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The contact behavior of a hemisphere pressed by a rigid plane is of great significance to the study of friction, wear, and conduction between two rough surfaces. A flattening contact behavior of an elastic–perfectly plastic hemisphere pressed by a rigid flat is researched by using the finite element method in this paper. This behavior, influenced by different elastic moduli, Poisson’s ratios, and yield strengths, is compared and analyzed in a large range of interference values, which have not been considered by previous models. The boundaries of purely elastic, elastic–plastic, and fully plastic deformation regions are given according to the interference, maximum mean contact pressure, Poisson’s ratio, and elastic modulus to yield strength ratio. Then, a new elastic–plastic constitutive model is proposed to predict the contact area and load in the elastic–plastic range. Compared with previous models and experiments, the rationality of the present model is verified. The study can be applied directly to the contact between a single sphere and a plane. In addition, the sphere contact can also be used to simulate the contact of single asperity on rough surfaces, so the present proposed model can be used to further study the contact characteristics of rough surfaces.

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Unloading of elastoplastic spheres from large deformations

Cited by 8 publications

References 25 publications

Unloading Model of Elastic–Plastic Half-Space Contacted by an Elastic Spherical Indenter

Unloading Model of Elastic–Plastic Half-Space Contacted by an Elastic Spherical Indenter

Kinematic modelling and experimental testing of a particle-jamming soft robot based on a DEM-FEM coupling method

Research on Elastic–Plastic Contact Behavior of Hemisphere Flattened by a Rigid Flat

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