Skip to main content
SpringerLink
Log in

Orthogonal meshless finite volume method applied to elastodynamic crack problems

  • Original Paper
  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

An orthogonal meshless finite volume method has been presented to solve some elastodynamic crack problems. An orthogonal weighted basis function is used to construct shape function so there is no problem of singularity in this new form. In this work, for three-dimensional dynamic fracture problems, a new displacement function is used at the tip of the crack to give a new OMFVM. When the new OMFVM is used, the singularity of the stresses at the tip of the crack can be shown to be better than that in the primal OMFVM. High computational efficiency and precision are other benefits of the method. Solving some sample crack problems of thin-walled structures show a good performance of this method.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Achenbach JD (1970) Extension of a crack by a shear wave. ZAMP 21: 887–900

    Article  Google Scholar 

  • Aoki S, Kishimoto K, Sakata M (1987) Finite element computation of dynamic stress intensity factor for a rapidly propagating crack using 3-integral. Comput Mech 62(2): 54–62

    Google Scholar 

  • Belytschko T, Lu YY, Gu L (1994) Element-free Galerkin methods. Int J Numer Methods Eng 37: 229–256

    Article  Google Scholar 

  • Belytschko T, Lu YY, Gu L, Tabbara M (1995) Element-free Galerkin methods for static and dynamic fracture. Int J Solids Struct 32: 2547–2570

    Article  Google Scholar 

  • Cheung Y, Wang Y, Woo C (1992) A general method for multiple crack problems in a finite plate. Comput Mech 10: 335–343

    Article  Google Scholar 

  • Daux C, Moes N, Dolbow J, Sukumar N, Belytschko T (2000) Arbitrary branched and intersecting cracks with the extended finite element method. Int J Numer Methods Eng 48: 1741–1760

    Article  Google Scholar 

  • Kostrov BV (1966) Unsteady propagation of longitudinal shear cracks. J Appl Math Mech 30: 1241–1248

    Article  Google Scholar 

  • Monaghan JJ (1982) Why particle methods work. SIAM J Sci Stat Comput 3: 422–433

    Article  Google Scholar 

  • Monaghan JJ (1988) An introduction to SPH. Comput Phys Commun 48: 89–96

    Article  CAS  Google Scholar 

  • Moosavi MR, Khelil A (2008) Accuracy and computational efficiency of the finite volume method combined with the meshless local Petrov–Galerkin in comparison with the finite element method in elasto-static problem. ICCES 5(4): 211–238

    Google Scholar 

  • Moosavi MR, Delfanian F, Khelil A (2011a) Orthogonal meshless finite volume method in elasticity. Thin Walled Struct 49(6): 708–712

    Article  Google Scholar 

  • Moosavi MR, Delfanian F, Khelil A (2011b) The orthogonal meshless finite volume method for solving Euler-Bernoulli beam and thin plate problems. Thin Walled Struct 49(7): 923–932

    Article  Google Scholar 

  • Nishioka T, Atluri SN (1980) Numerical modeling of dynamic crack propagation in finite bodies, by moving singular elements. Part 2: results. J Appl Mech 47: 577–582

    Article  Google Scholar 

  • Ravera RJ, Sih GC (1970) Transient analysis of stress waves around cracks under antiplane strain. J Acoust Soc Am 47: 875–881

    Article  Google Scholar 

  • Zahoor A (1991) Ductile fracture handbook. Novetech Corp., Rockville

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Aerospace and Mechanical Engineering Department, The University of Arizona, Tucson, AZ, 85721, USA

    M. R. Moosavi

Authors
  1. M. R. Moosavi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. R. Moosavi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moosavi, M.R. Orthogonal meshless finite volume method applied to elastodynamic crack problems. Int J Fract 179, 1–7 (2013). https://doi.org/10.1007/s10704-012-9752-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10704-012-9752-9

Keywords

Search

Navigation