Skip to main content

Unilateral Crack Identification

Elastodynamic data, BEM and filter algorithm

  • Conference paper
Nonsmooth Mechanics and Analysis

Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 12))

  • 1410 Accesses

Abstract

Wave propagation and reection from unilateral cracks in two-dimensional elasticity can be numerically modeled by suitable boundary element methods and nonsmooth mechanics techniques. This tool is used, in connection with Kalman-filter based optimization, for the study of the inverse crack identification problem.

Partial funding provided by the Greek-German Cooperation program IKYDA.

Partial funding provided by the German Research Foundation DFG and the German-Greek Cooperation program IKYDA.

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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Antes, H. and Panagiotopoulos, P.D. (1992). The Boundary Integral Approach to Static and Dynamic Contact Problems. Equality and Inequality Methods. Basel, Boston: Birkhäuser Verlag.

    Google Scholar 

  • Engelhardt, M. (2004). Numerische Verfahren zur Identifizierung von Fehlstellen aus Randdaten. PhD Thesis, Department of Civil Engineering, Carolo Wilhelmina Technical University, Braunschweig, Germany, to appear.

    Google Scholar 

  • Stavroulakis, G.E. (1999). Impact-echo from a unilateral interlayer crack. LCP-BEM modelling and neural identification. Engineering Fracture Mechanics, Vol. 62(2–3), pp. 165–184.

    Article  Google Scholar 

  • Stavroulakis, G.E., Antes, H. and Panagiotopoulos, P.D. (1999). Transient elastodynamics around cracks including contact and friction. Computer Methods in Applied Mechanics and Engineering, Vol. 177(3–4), pp. 427–440.

    Article  MathSciNet  Google Scholar 

  • Stavroulakis, G.E. and Antes, H. (2000). Unilateral crack identification. A filter-driven, iterative, boundary element approach. Journal of Global Optimization, Vol. 17(1–4), pp. 339–352.

    Article  MathSciNet  Google Scholar 

  • Stavroulakis, G.E. (2000). Inverse and Crack Identification Problems in Engineering Mechanics. Dordrecht, The Netherlands: Kluwer Academic Publishers.

    Google Scholar 

  • Stavroulakis, G.E., Engelhardt, M., Likas, A., Gallego, R., Antes, H. (2004). Neural network assisted crack and flaw identification in transient dynamics. Journal of Theoretical and Applied Mechanics, Polish Academy of Sciences in press.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer Science+Business Media, Inc.

About this paper

Cite this paper

Stavroulakis, G.E., Engelhardt, M., Antes, H. (2006). Unilateral Crack Identification. In: Alart, P., Maisonneuve, O., Rockafellar, R.T. (eds) Nonsmooth Mechanics and Analysis. Advances in Mechanics and Mathematics, vol 12. Springer, Boston, MA. https://doi.org/10.1007/0-387-29195-4_11

Download citation

Publish with us

Policies and ethics