Skip to main content

Abstract

Abstract Transient elastodynamic crack analysis by time-domain boundary element method (BEM) is presented. Time-dependent traction boundary integral equations (BIEs) are used for this purpose. Both the hypersingular and the non-hypersingular formulations are dealt with. The time-domain traction BIEs are solved numerically by a time-stepping scheme. The efficiency and the accuracy of the time-domain BEM for transient elastodynamic crack analysis are demonstrated by a numerical example. Advantages and drawbacks of the hypersingular and the non-hypersingular BEM formulations are compared and discussed.

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

  1. Cruse, T. A.: Boundary Element Analysis in Computational Fracture Mechanics. Kluwer Academic Publishers, Boston, Mass., 1988.

    Book  MATH  Google Scholar 

  2. Dominguez, J.: Boundary Elements in Dynamics. Computaional Mechanics Publications, Southampton, UK, 1993.

    MATH  Google Scholar 

  3. Dominguez, J. and Gallego, R.: Time Domain Boundary Element Method for Dynamic Stress Intensity Factor Computations. Int. J. Numer. Meth. Engng. 33 635–647 (1992).

    Article  MATH  Google Scholar 

  4. Fedelinski, P., Aliabadi, M. H. and Rooke, D. P.: The Dual Boundary Element Method in Dynamic Fracture Mechanics. Engng Anal. Bound. Elem. 12 203–210 (1993).

    Article  Google Scholar 

  5. Fedelinski, P.: Private Communication, 1999.

    Google Scholar 

  6. Murti, V. and Valliappan, S.: The Use of Quarter Point Element in Dynamic Crack Analysis. Eng. Fract. Mech. 23 585–614 (1986).

    Article  Google Scholar 

  7. Zhang, Ch.: A Novel Derivation of Non-Hypersingular Time-Domain BIEs for Transient Elastodynamic Crack Analysis. Int. J. Solids Struct. 28 267–281 (1991).

    Article  MATH  Google Scholar 

  8. Zhang, Ch. and Gross, D.: A Non-Hypersingular Time-Domain BIEM for Transient Elastodynamic Crack Analysis. Int. J. Numer. Meth. Engng. 36 2997–3017 (1993).

    Article  MATH  Google Scholar 

  9. Zhang, Ch. and Gross, D.: On Wave Propagation in Elastic Solids With Cracks. Computational Mechanics Publications, Southampton, UK, 1997.

    Google Scholar 

  10. Zhang, Ch. and Savaidis, A.: A Hypersingular BEM for Dynamic Crack Analysis. ZAMM Z. Angew. Math. Mech., 79, (1999).

    Google Scholar 

  11. Zhang, Ch. and Savaidis, A.: Time-Domain BEM for Dynamic Crack Analysis. Mathematics and Computers in Simulation, 50 351–362 (1999).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Zhang, C., Savaidis, A. (2001). Dynamic Crack Analysis by Hypersingular and Non-Hypersingular Time-Domain BEM. In: Burczynski, T. (eds) IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9793-7_35

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-9793-7_35

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5737-2

  • Online ISBN: 978-94-015-9793-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics