Skip to main content

Elasticity and Mechanical Response of a Composite Particle System Induced by a Vertical Loading

  • Conference paper
  • First Online:
  • 5374 Accesses

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 188))

Abstract

In an ordered particle assembly, the contact forces between particles commonly propagate along certain preferred directions, which lead to a fact that conventional elastic theories can hardly be used to describe its stress response inside particle systems. In this paper, we report a systematical numerical investigation on the response of a two-dimensional composite particle system to an external applied force. We find the existence of soft granular layer can obviously affect propagating paths of main force chains and eventually lead to a transition of macroscopic mechanical response from a hyperbolic-like to elliptic-like feature. In this case, the stiffness ratio plays an important role like the static friction in a mono-disperse particle system. Furthermore, we find that the composited mode also has significant effect on the mechanical response in a composite granular material. These interesting results can serve to inform the design and optimization of engineering construction involving discrete solid materials.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Jaeger, H.M., Nagel, S.R., Behringer, R.P.: Granular solids, liquids, and gases. Rev. Mod. Phys. 68, 1259 (1996)

    Article  ADS  Google Scholar 

  2. Geng, J., Howell, D., Longhi, E., et al.: Footprints in sand: The response of a granular material to local perturbations. Phys. Rev. Lett. 87, 035506 (2001)

    Article  ADS  Google Scholar 

  3. Goldenberg, C., Goldhirsch, I.: Effects of friction and disorder on the quasistatic response of granular solids to a localized force. Phys. Rev. E 77, 041303 (2008)

    Article  ADS  Google Scholar 

  4. Goldenberg, C., Goldhirsch, I.: Friction enhances elasticity in granular solids. Nature 435, 188–191 (2005)

    Article  ADS  Google Scholar 

  5. Goldenberg, C., Goldhirsch, I.: Force chains, microelasticity, and macroelasticity. Phys. Rev. Lett. 89, 084302 (2002)

    Article  ADS  Google Scholar 

  6. Yang, Y., Wang, D., Qin, Q.: Quasi-static response of two-dimensional composite granular layers to a localized force. Powder Technol. 26, 272–278 (2014)

    Google Scholar 

  7. Ostojic, S., Panja, D.: Elasticity from the force network ensemble in granular media. Phys. Rev. Lett. 97, 208001 (2006)

    Article  ADS  Google Scholar 

  8. Nedderman, R.M.: Statics and Kinematics of Granular Materials. Cambridge University Press, Cambridge, U.K (1992)

    Book  Google Scholar 

  9. Wu, W., Bauer, E., Kolymbas, D.: Hypoplastic constitutive model with critical state for granular materials. Mech. Mater. 23, 45–69 (1996)

    Article  Google Scholar 

  10. Bouchaud, J.P., Cates, M.E., Claudin, P.: Stress distribution in granular media and nonlinear wave equation. J. de Phys. I5, 639–656 (1995)

    ADS  Google Scholar 

  11. Head, D.A., Tkachenko, A.V., Witten, T.A.: Robust propagation direction of stresses in a minimal granular packing. Eur. Phys. J. E6, 99–105 (2001)

    Google Scholar 

  12. Daraio, C., Nesterenko, V.F., Herbold, E.B., et al.: Energy trapping and shock disintegration in a composite granular medium. Phys. Rev. Lett. 96, 058002 (2006)

    Article  ADS  Google Scholar 

  13. Wang, P.J., Xia, J.H., Li, Y.D., et al.: Crossover in the power-law behavior of confined energy in a composite granular chain. Phys. Rev. E 76, 041305 (2007)

    Article  ADS  Google Scholar 

  14. Viridi, S., Khotimah, S.N.: 2-D granular model of composite elasticity using molecular dynamics simulation. In: American Institute of Physics Conference Series, vol. 1454, pp. 219–222 (2012)

    Google Scholar 

  15. Cundall, P.A., Strack, O.D.L.: A discrete numerical model for granular assemblies. Geotechnique 29, 47–65 (1979)

    Article  Google Scholar 

Download references

Acknowledgments

This work was supported by National Natural Sciences Foundations of China (Grant Nos. 11572144, 11502104), Innovative Research Group of the National Natural Science Foundation of China (Grant No. 11421062), and China Postdoctoral Science Foundation (2013M530434, 2014T70943). The authors gratefully acknowledge these supports.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dengming Wang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Science+Business Media Singapore

About this paper

Cite this paper

Wang, D., Du, W. (2017). Elasticity and Mechanical Response of a Composite Particle System Induced by a Vertical Loading. In: Li, X., Feng, Y., Mustoe, G. (eds) Proceedings of the 7th International Conference on Discrete Element Methods. DEM 2016. Springer Proceedings in Physics, vol 188. Springer, Singapore. https://doi.org/10.1007/978-981-10-1926-5_45

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-1926-5_45

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-1925-8

  • Online ISBN: 978-981-10-1926-5

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics