Skip to main content

Recent Developments in the Formulation of Finite Elements with Embedded Strong Discontinuities

  • Conference paper
Book cover IUTAM Symposium on Discretization Methods for Evolving Discontinuities

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 5))

  • 1176 Accesses

Summary

This paper presents new finite elements with embedded strong discontinuities for the modeling of failure in solids. The new elements consider linear interpolations of the displacement jumps, leading to approximations free of stress locking in general displacement, mixed, assumed and enhanced strain quadrilateral elements. The new interpolations allow also the formulation of globally continuous interpolations along the discontinuity path as developed in this paper too. Several numerical examples are presented to illustrate the performance of the new formulations.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Alfaite, J; Simone, A and Sluys, LJ (2003) International Journal of Solids and Structures 40:5799–5817

    Article  Google Scholar 

  2. Armero, F (1999) Mechanics of Cohesive-Frictional Materials 4:101–131

    Article  Google Scholar 

  3. Armero, F (2001) Computer Methods in Applied Mechanics and Engineering 191:181–213

    Article  MATH  Google Scholar 

  4. Armero, F and Ehrlich D (2006) Computer Methods in Applied Mechanics and Engineering 195:1283–1324

    Article  MATH  MathSciNet  Google Scholar 

  5. rmero, F and Garikipati, K (1995) Recent advances in the analysis and numerical simulation of strain localization in inelastic solids. In: Proceedings of the 4th Computational Plasticity Conference.

    Google Scholar 

  6. Armero, F and Garikipati, K (1996) International Journal of Solids and Structures 33:2863–2885

    Article  MATH  MathSciNet  Google Scholar 

  7. Belytschko, T and Black, T (1999) International Journal for Numerical Methods in Engineering 45:601–620

    Article  MATH  MathSciNet  Google Scholar 

  8. Bolzon, G (2001) Computational Mechanics 27:463–473

    Article  MATH  Google Scholar 

  9. Borja, RI and Regueiro, RA (2001) Computer Methods in Applied Mechanics and Engineering 190:2555–2580

    Article  MATH  Google Scholar 

  10. Callari, C and Armero, F (2002) Computer Methods in Applied Mechanics and Engineering 191:4371–4400

    Article  MATH  MathSciNet  Google Scholar 

  11. Ehrlich, D and Armero, F (2005) Computational Mechanics 35:237–264

    Article  MATH  Google Scholar 

  12. Larsson, R; Steinmann P and Runesson K (1998) Mechanics of Cohesive-Frictional Materials 4:171–194

    Article  Google Scholar 

  13. inder, C and Armero, F (2006) submitted

    Google Scholar 

  14. Manzoli, OL and Shing PB (2006) Computers and Structures 84:742–757

    Article  MathSciNet  Google Scholar 

  15. Moës, N; Dolbow, J and Belytschko, T (1999) International Journal for Numerical Methods in Engineering 46:131–150

    Article  MATH  Google Scholar 

  16. Mosler, J and Meschke, G (2003) International Journal for Numerical Methods in Engineering 57:1553–1576

    Article  MATH  Google Scholar 

  17. . Oliver, J (1996) International Journal for Numerical Methods in Engineering 39:3575–3623

    Article  MATH  Google Scholar 

  18. Oliver, J and Huespe, AE (2004) Computer Methods in Applied Mechanics and Engineering 193:2987–3014

    Article  MATH  MathSciNet  Google Scholar 

  19. Reinhardt HW (1984) Heron 29(2):1–42

    Google Scholar 

  20. Simo, JC; Oliver, J and Armero, F (1993) analysis of strong discontinuities induced by softening solutions in rate independent solids Computational Mechanics 12:277–296

    MATH  MathSciNet  Google Scholar 

  21. Simo, JC and Rifai, MS (1990) International Journal for Numerical Methods in Engineering 29:1595–1638

    Article  MATH  MathSciNet  Google Scholar 

  22. Steinmann P (1999) Mechanics of Cohesive-Frictional Materials 4:133–152

    Article  Google Scholar 

  23. Wells, GN and Sluys, LJ (2001) International Journal for Numerical Methods in Engineering 50:2667–2682

    Article  MATH  Google Scholar 

  24. Wells, GN; Sluys, LJ and de Borst, R (2002) International Journal for Numerical Methods in Engineering 53:1235–1256

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Francisco Armero .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer

About this paper

Cite this paper

Armero, F., Linder, C. (2007). Recent Developments in the Formulation of Finite Elements with Embedded Strong Discontinuities. In: Combescure, A., De Borst, R., Belytschko, T. (eds) IUTAM Symposium on Discretization Methods for Evolving Discontinuities. IUTAM Bookseries, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6530-9_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4020-6530-9_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-6529-3

  • Online ISBN: 978-1-4020-6530-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics