Effects of material strain rate sensitivity in low speed impact between two identical spheres

Minamoto, Hirofumi; Kawamura, Shozo

doi:10.1016/j.ijimpeng.2008.10.001

Cited by 67 publications

(44 citation statements)

References 11 publications

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“…6. The shapes of the diagrams show the sharp tip around the maximum contact force, which are typical elastic-plastic behaviors observed in two sphere impacts (Minamoto and Kawamura, 2008). The area surrounded by the force-compression diagram indicates the work in axial direction.…”

Section: Continuous Impact Modelmentioning

confidence: 74%

“…In the inelastic regime the steel is rate sensitive, and therefore, it shows elastic-viscoplastic material behavior. This strain rate dependency has significant influence on the COR (Minamoto and Kawamura, 2008;Seifried, Minamoto and Eberhard, 2010). Therefore, for the inelastic spheres a rate dependent bi-linear elastic-plastic material model is employed.…”

Section: Finite Element Analysismentioning

confidence: 99%

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Restitution properties in direct central collision of three inelastic spheres

Minamoto

Seifried

Eberhard

et al. 2016

Mechanical Engineering Journal

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The purpose of this paper is to investigate the micromechanical processes during impact as well as the related macro-mechanical restitution properties in a three body multiple impact system. Thereby, the microscale refers to the detailed processes during impact, while the macroscale refers to the overall dynamics of the impact system which is normally evaluated by rigid bodies. Specifically, this paper deals with numerical and experimental investigations of direct central collisions of three identical inelastic spheres. In the experiments the velocities of three spheres during impacts are measured by Laser-Doppler-Vibrometers. In the numerical simulation, finite element analyses are performed, where the material properties obtained from static and dynamic compression tests are used. In order to confirm the validity of the numerical model, the results from the finite element analyses are compared to the experimental results and show good agreement. Afterwards, micromechanical investigations of the impact processes are performed using finite element analysis. Thereby quantities such as impact force, deformation, and kinetic energy loss are investigated in detail. Then, the macroscale rebound properties of multiple collisions are derived using the simulation results on a microscale. In general, a single coefficient of restitution (COR) can be used to evaluate on the macroscale the restitution property in two body impacts. However, in instantaneous impact modelling this cannot be used for general multibody systems where multiple concurrent impacts occur. Therefore, a COR matrix is employed in this paper as measure of the macroscale restitution properties and the overall impact dynamics of the system. Finally, a rigid body simulation with continuous contact law is attempted as an alternative macro-mechanical model. It is shown for this specific impact system that this method can produce practical macroscale behavior of the colliding spheres if a simple single impact COR is used. This is shown by comparison with the COR matrix.

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Section: Continuous Impact Modelmentioning

confidence: 74%

Section: Finite Element Analysismentioning

confidence: 99%

Restitution properties in direct central collision of three inelastic spheres

Minamoto

Seifried

Eberhard

et al. 2016

Mechanical Engineering Journal

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“…The relation is given by Brake as a 2 = 2rδ + c 2 [18]. In previous studies, p 0 has been assumed to be 2.8σ y [18][19][20]. FEM observations show that this is a reasonable assumption for many cases, but it is not valid for all materials.…”

Section: Model Descriptionmentioning

confidence: 99%

Strain-rate-dependent model for the dynamic compression of elastoplastic spheres

Burgoyne

Daraio

2014

Phys. Rev. E

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We present a force-displacement contact model for the compressive loading of elastoplastic spheres. This model builds from the well known Hertz contact law for elastic, quasistatic compression to incorporate a material's strain-rate-dependent plasticity in order to describe collisions between particles. In the quasistatic regime, finite-element analysis is used to derive an empirical function of the material properties. A Johnson-Cook strain rate dependence is then included into the model to study dynamic effects. We validate the model using split Hopkinson bar experiments and show that the model can accurately simulate the force-displacement response of strain-rate-dependent elastoplastic spheres during dynamic compression and unloading.

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“…Results for experiments on impact of identical spheres as well as spheres of different sizes and material composition were presented and discussed. More recent experiments on the impact of two identical spheres have been reported by Minamoto and Kawamura (2009;2011). Experimental results for coefficient of restitution and contact duration were reported for low-velocity impacts (Minamoto & Kawamura, 2009) and moderate-velocity impacts (Minamoto & Kawamura, 2011), and the measurements were validated using FE simulation results.…”

Section: Introductionmentioning

confidence: 96%

“…More recent experiments on the impact of two identical spheres have been reported by Minamoto and Kawamura (2009;2011). Experimental results for coefficient of restitution and contact duration were reported for low-velocity impacts (Minamoto & Kawamura, 2009) and moderate-velocity impacts (Minamoto & Kawamura, 2011), and the measurements were validated using FE simulation results. Also, experiments on impact of spheres on flat targets have been conducted (Kharaz & Gorham, 2000) and are a special case of impact of two spheres i.e.…”

Section: Introductionmentioning

confidence: 96%

Rigid Body Motions and Local Compliance Response during Impact of Two Deformable Spheres

Big‐Alabo¹

2017

MER

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The impact of two hard deformable spheres is revisited with the aim of investigating the constituent rigid body motions and indentation response of each sphere during collision. The latter are determined theoretically and the theoretical solutions are validated by comparing with numerical solutions of the coupled nonlinear dynamic models for impact of two hard deformable spheres. For elastic impact events, normalized tabulated solutions are derived using the Force Indentation Linearisation Method (FILM) and the tabulated solutions can be used to generate actual rigid body motions and indentation histories for each of the colliding spheres without need for numerical or finite element solutions. The analysis shows that the rigid body motion and local compliance response of each sphere depend on: (a) ratio of mass of sphere to effective mass of impact system, and (b) ratio of initial velocity of sphere to initial relative velocity of impact system. Finally, the 2-D collision problem is discussed and a simple procedure to determine the unique solution of all four unknowns is presented.

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Effects of material strain rate sensitivity in low speed impact between two identical spheres

Cited by 67 publications

References 11 publications

Restitution properties in direct central collision of three inelastic spheres

Restitution properties in direct central collision of three inelastic spheres

Strain-rate-dependent model for the dynamic compression of elastoplastic spheres

Rigid Body Motions and Local Compliance Response during Impact of Two Deformable Spheres

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