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Research Papers

Energy Dissipation in Normal Elastoplastic Impact Between Two Spheres

[+] Author and Article Information
Yanchen Du

School of Medical Instrument and Food Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

Shulin Wang

School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

J. Appl. Mech. 76(6), 061010 (Jul 23, 2009) (8 pages) doi:10.1115/1.3130801 History: Received March 03, 2008; Revised March 23, 2009; Published July 23, 2009

Elastoplastic deformation occurs widely in engineering impact. Although many empirical solutions of elastoplastic impact between two spheres have been obtained, the analytical solution, verified by means of other methods, to the impact model has not been put forward. This paper proposes a dynamic pattern of elastoplastic impact for two spheres with low relative velocity, in which three stages are introduced and elastic and plastic regions are both considered. Finite element analyses with various parameters are carried out to validate the above model. The numerical results prove to agree with the theoretical predictions very well. Based on this model, the dissipation nature of elastoplastic impact are then analyzed, and the conclusion can be drawn that materials with lower yield strength, higher elastic modulus, and higher mass density have better attenuation and dissipation effects. The study provides a basis to predict the particle impact damping containing plastic deformation and to model the impact damped vibration system enrolling microparticles as a damping agent.

Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Schematic of elastoplastic impact between two spheres

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Figure 2

Schematic of mesh seed parameters

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Figure 3

Schematic of element partition result

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Figure 4

Curve of relative deformation and impact time in impact process; vi−=20 mm/s, vj−=−5 mm/s, and Ri=Rj=2.5 mm

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Figure 5

Velocity of sphere i after impact between identical spheres

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Figure 6

Velocity of sphere j after impact between identical spheres

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Figure 7

Loss factor in impact between identical spheres

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Figure 8

Effective coefficient of restitution in impact between different material spheres

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Figure 9

Velocity of sphere i after impact between different material spheres

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Figure 10

Velocity of sphere j after impact between different material spheres

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Figure 11

Loss factor in impact between different material spheres

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Figure 12

Velocity of sphere i after impact between different radius spheres

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Figure 13

Velocity of sphere j after impact between different radius spheres

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Figure 14

Loss factor in impact between different radius spheres

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Figure 15

Loss factor with different impact velocity groups: Ri=Rj=2.5 mm, Ei=Ej=210 GPa, νi=νj=0.25, and σyi=σyj=210 MPa

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Figure 16

Loss factor with different material parameters: σyi=σyj=50–400 MPa at interval of 50 MPa, Ri=Rj=2.5 mm, vi−=−vj−=20 mm/s, and νi=νj=0.25

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Figure 17

Loss factor with different mass densities: vi−=20 mm/s, Ri=Rj=2.5 mm, Ei=Ej=210 GPa, νi=νj=0.25, and σyi=σyj=210 MPa

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