Skip to main content

Abstract

Hybrid thermoelastic stress analysis (Hybrid-TSA) is an experimental thermographic method that has been successfully utilized for the stress analysis of numerous structures with various geometries, discontinuities and loading situations. Previous work has shown the capacity of such approach to separate stresses on diametrically loaded disks with known loading conditions. The objective of the present work is to investigate the capacity of such hybrid experimental-analytical approach in the stress analysis of two-dimensional granular materials. Previously, thermography has been successful at determining the hydrostatic stress network in cohesionless bidisperse granular systems (composed of cylinders placed in parallel) under confined compression. However, the analysis remained tricky because of the large number of cylinders considered, leading to a reduced number of thermal data per cylinder. The method which is proposed here relies heavily on analytical expressions of stress, which arise from mechanical compatibility and equilibrium conditions. It enables us to reconstruct a stress field on granular materials with low special resolution (few TSA points available per cylinder), and thus to analyze more precisely the mechanical state of tested granular systems.

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

Access this chapter

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

Institutional subscriptions

References

  1. Jaeger, H.M., Nagel, S.R., Behringer, R.P.: The physics of granular materials. Phys. Today. 49(4), 32–38 (1996)

    Article  Google Scholar 

  2. Goldenberg, C., Goldhirsch, I.: Small and large scale granular statics. Granul. Matter. 6(2–3), 87–96 (2004)

    Article  Google Scholar 

  3. Chaiamarit, C., Balandraud, X., Preechawuttipong, I., Grediac, M.: Stress network analysis of 2D non-cohesive polydisperse granular materials using infrared thermography. Exp. Mech. 55, 761–769 (2015)

    Article  Google Scholar 

  4. Zhao, H., An, X., Wu, Y., Qian, Q.: DEM modeling on stress profile and behavior in granual matter. Powder Technol. 323, 149–154 (2018)

    Article  Google Scholar 

  5. Puglisi, A.: Janssen effect and the distribution of internal stresses. 14.11.2001. [Online]. Available: http://denali.phys.uniroma1.it/~puglisi/thesis/node5.html. [Accessed 5 Feb 2018]

  6. Jongchansitto, P., Balandraud, X., Grediac, M., Beitone, C., Preechawuttipong, I.: Using infrared thermography to study hydrostatic stress networks in granular materials. Soft Matter. 10(43), 8603–8607 (2014)

    Article  Google Scholar 

  7. Sadrnejad, S.A., Saedi Daryan, A., Ziaei, M.: A constructive model for multi-line simulation of granular material behaviour using multi-plane pattern. J. Comput. Sci. 5(11), 822–830 (2009)

    Google Scholar 

  8. Xiao, Y., Zhang, Z., Chen, L., Zheng, K.: Modeling stress path dependency of cyclic plastric strain accumulation of unbound granular materials under moving wheel loads. Mater. Des. 137(1), 9–21 (2018)

    Article  Google Scholar 

  9. Yan, G., Yu, H.-S., McDowell, G.: Simulation of granular material behaviour using DEM. Procedia Earth Planetary Sci. 1(1), 598–605 (2009)

    Article  Google Scholar 

  10. Chaiamarit, C., Balandraud, X., Grédiac, M., Preechawuttipong, I.: Experimental evidence of stress network in a 2D granular material under confined compression by infrared thermography. In: Photomechanics, Montpellier (2013)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wael A. Samad .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 The Society for Experimental Mechanics, Inc.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Yousefi, M., Balandraud, X., Samad, W.A. (2019). Thermographic Stress Field Investigation of a Multiply-Loaded Disk. In: Baldi, A., Quinn, S., Balandraud, X., Dulieu-Barton, J., Bossuyt, S. (eds) Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 7. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-95074-7_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-95074-7_22

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-95073-0

  • Online ISBN: 978-3-319-95074-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics