Skip to main content
SpringerLink
Log in

Modeling of T/C Fatigue Test with Boundary Element Method and Linear Fracture Mechanics

  • Conference paper
  • First Online:
Proceedings of the RILEM International Symposium on Bituminous Materials (ISBM 2020)

Part of the book series: RILEM Bookseries ((RILEM,volume 27))

Included in the following conference series:

  • 62 Accesses

Abstract

This work presents the simulation of 3D crack propagation in samples in order to determine fatigue life. The modellings have been achieved by using MBEMv3.0: a fast software based on the Symmetric Galerkin Boundary Element Method (SGBEM) accelerated with the Fast Multipole Method (FMM) in 3D elasticity. Fatigue crack propagation has been simulated with Paris law. We present the simulations of a tensile/compression fatigue test on cylindrical samples of a semi-coarse asphalt concrete considered as homogeneous, containing very small cracks. When the number of cycles increases, the cracks propagate, and we can observe a loss of rigidity of the sample. Parametric studies of the modelling parameters have been performed where the damage evolutions exhibit a typical shape that proves that, for asphalt concrete materials subjected to T/C fatigue test, the shape of the fatigue test curve is mainly governed by biasing effects at the beginning then by mechanical damage at the end.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 299.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 379.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 379.99
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. Gray, L.J., Paulino, G.H.: Symmetric Galerkin boundary integral formulation for interface and multizone problems. Int. J. Num. Meth. Eng. 40, 3085–3101 (1997)

    Article  Google Scholar 

  2. Frangi, A.: Fracture propagation in 3d by the symmetric Galerkin boundary element method. Int. J. Fract. 116, 313–330 (2002)

    Article  Google Scholar 

  3. Pham, D., Mouhoubi, S., Bonnet, M., Chazallon, C.: Fast multipole method applied to symmetric Galerkin boundary element method for 3D elasticity and fracture problems. Eng. Anal. Boundary Elem. 36, 1838–1847 (2012)

    Article  MathSciNet  Google Scholar 

  4. Rokhlin, V.: Rapid solution of integral equations of classical potential theory. J. Comput. Phys. 60(2), 187–207 (1985)

    Article  MathSciNet  Google Scholar 

  5. Yoshida, K.: Applications of fast multipole method to boundary integral equation method. Ph.D. thesis. Kyoto University, Japan (2001)

    Google Scholar 

  6. Chaillat, S.: Méthode multipôle rapide pour les équations intégrales de frontière en élastodynamique 3-D. Application à la propagation d’ondes sismiques, Ph.D. thesis. Ecole des Ponts ParisTech, Champs-sur-Marne, France (2008)

    Google Scholar 

  7. Trinh, Q.T., Mouhoubi, S., Chazallon, C., Bonnet, M.: Solving multizone and multicrack elastostatic problems: a fast multipole symmetric Galerkin boundary element method approach. Eng. Anal. Boundary Elem. 50, 486–495 (2015)

    Article  MathSciNet  Google Scholar 

  8. Pham, D.: Méthode multipôle rapide pour les équations intégrales variationnelles en élasticité tridimensionnelle et en mécanique de la rupture. Thèse. INSA de Strasbourg (2010)

    Google Scholar 

  9. Trinh, Q.T.: Modelling multizone and multicrack in three-dimensional elastostatic media: a fast multipole Galerkin boundary element method. Thèse. INSA de Strasbourg (2014)

    Google Scholar 

  10. Dansou, A., Mouhoubi, S., Chazallon, C., Bonnet, M.: Modeling multi-crack propagation by the fast multipole symmetric Galerkin BEM. Eng. Anal. Bound. Elém. 106, 309–319 (2019)

    Article  MathSciNet  Google Scholar 

  11. Dansou, A., Mouhoubi, S., Chazallon, C.: Optimizations of a fast multipole symmetric Galerkin boundary element method code. Numer. Algorithms 1–22 (2019)

    Google Scholar 

  12. Dansou, A.: Fast multipole boundary element method approach for multicracked structures: application to road pavement reinforcement. Thèse. INSA de Strasbourg (2019)

    Google Scholar 

  13. Corté, J.F., Di Benedetto, H.: Matériaux routiers bitumineux: description et propriétés des constituants. Lavoisier (2004)

    Google Scholar 

Download references

Acknowledgements

This work is supported in part by the French National Research Agency (SolDuGri project ANR-14-CE22-0019) and in part by the region “Grand-Est, France”.

Author information

Authors and Affiliations

  1. ICUBE, UMR 7357, INSA de Strasbourg, 24 boulevard de la Victoire, 67084, Strasbourg, France

    A. Dansou, S. Mouhoubi & Cyrille Chazallon

  2. POEMS, UMR 7231, ENSTA ParisTech, 828 boulevard des Maréchaux, 91120, Palaiseau, France

    M. Bonnet

Authors
  1. A. Dansou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Mouhoubi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Cyrille Chazallon
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. M. Bonnet
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Dansou .

Editor information

Editors and Affiliations

  1. University of Lyon/ENTPE, Vaulx-en-Velin, France

    Hervé Di Benedetto

  2. University of Waterloo, Waterloo, ON, Canada

    Hassan Baaj

  3. Gustave Eiffel University, Champs-sur-Marne, France

    Emmanuel Chailleux

  4. University of Parma, Parma, Italy

    Gabriele Tebaldi

  5. University of Lyon/ENTPE, Vaulx-en-Velin, France

    Cédric Sauzéat

  6. University of Lyon/ENTPE, Vaulx-en-Velin, France

    Salvatore Mangiafico

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Dansou, A., Mouhoubi, S., Chazallon, C., Bonnet, M. (2022). Modeling of T/C Fatigue Test with Boundary Element Method and Linear Fracture Mechanics. In: Di Benedetto, H., Baaj, H., Chailleux, E., Tebaldi, G., Sauzéat, C., Mangiafico, S. (eds) Proceedings of the RILEM International Symposium on Bituminous Materials. ISBM 2020. RILEM Bookseries, vol 27. Springer, Cham. https://doi.org/10.1007/978-3-030-46455-4_172

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-46455-4_172

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-46454-7

  • Online ISBN: 978-3-030-46455-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation