Analytical solution for the problem of frictional-elastic collisions of spherical particles using the linear model

@article{Maio2004AnalyticalSF,
  title={Analytical solution for the problem of frictional-elastic collisions of spherical particles using the linear model},
  author={F. Maio and A. Renzo},
  journal={Chemical Engineering Science},
  year={2004},
  volume={59},
  pages={3461-3475}
}
  • F. Maio, A. Renzo
  • Published 2004
  • Mathematics
  • Chemical Engineering Science
    • Abstract In the present paper, the problem of a frictional-elastic impact of two spheres is addressed with a novel approach. The set of equations arising from the linear model of the contact mechanics is analytically integrated considering the combined effects of the elastic and frictional mechanisms. The linear model is very commonly used in simulations based on the soft-sphere distinct element method (DEM) (Geotechnique 29 (1979) 47), where numerical methods are used for the integration of… CONTINUE READING
    View via Publisher
    59 Citations
    Highly Influential Citations
    2
    Background Citations
    7
    Methods Citations
    7
    Results Citations
    1
    59 Citations
    Citation Type

    Citation Type

    An improved integral non-linear model for the contact of particles in distinct element simulations
    • 116
    An analytical solution of different configurations of the linear viscoelastic normal and frictional-elastic tangential contact model
    • 25
    Modelling Particle Contacts in Distinct Element Simulations: Linear and Non-Linear Approach
    • 24
    A study on tangential force laws applicable to the discrete element method (DEM) for materials with viscoelastic or plastic behavior
    • 162
    On the Determination of the Damping Coefficient of Non-linear Spring-dashpot System to Model Hertz Contact for Simulation by Discrete Element Method
    • 11
    On the Determination of the Damping Coefficient of Non-linear Spring-dashpot System to Model Hertz Contact for Simulation by Discrete Element Method
    • 27
    • PDF
    An investigation of nonlinear tangential contact behaviour of a spherical particle under varying loading
    • 7
    • PDF
    Simulation of Adhesive–Dissipative Behavior of a Microparticle Under the Oblique Impact
    • 7
    Comparison of the multi-sphere and polyhedral approach to simulate non-spherical particles within the discrete element method: Influence on temporal force evolution for multiple contacts
    • 111
    Interaction Law for a Collision Between Two Solid Particles in a Viscous Liquid
    • 16
    • PDF

    References

    SHOWING 1-10 OF 31 REFERENCES
    Comparison of contact-force models for the simulation of collisions in DEM-based granular flow codes
    • 610
    A discrete numerical model for granular assemblies
    • 10,851
    The oblique impact of elastic spheres
    • 259
    • PDF
    On the determination of contact parameters for realistic DEM simulations of ball mills
    • 123
    Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe
    • 1,204
    Discrete particle simulation of two-dimensional fluidized bed
    • 1,616
    • PDF
    Numerical simulation of cohesive powder behavior in a fluidized bed
    • 409
    Discrete particle simulation of bubble and slug formation in a two-dimensional gas-fluidised bed: A hard-sphere approach.
    • 811
    • PDF
    Numerical simulation of the gas-solid flow in a fluidized bed by combining discrete particle method with computational fluid dynamics
    • 725
    Numerical simulation of two-dimensional fluidized beds using the discrete element method (comparison between the two- and three-dimensional models)
    • 175