Strength of Materials

, 43:122 | Cite as

Solving linear and nonlinear three-dimensional problems of fracture mechanics by a semi-analytic finite element method. Part 2. A procedure for computing the invariant J-integral in fem discrete models

  • V. A. Bazhenov
  • A. I. Gulyar
  • S. O. Piskunov
  • A. S. Sakharov
  • A. A. Shryl’
  • Yu. V. Maksimyuk
Article
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A new procedure for computing the J-integral for FEM discrete models, which is based on the use of magnitudes of nodal reactions and displacements, has been implemented. The paper presents theoretical substantiation and practical evidence that confirm the invariance of the J-integral values found by this procedure for the case of cracks of Mode I and mixed fracture mode. A three-dimensional elastic-plastic deformation problem for a compact specimen has been solved.

Keywords

fracture mechanics invariant J-integral path of integration finite element method linear and nonlinear problems 
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References

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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  • V. A. Bazhenov
    • 1
  • A. I. Gulyar
    • 1
  • S. O. Piskunov
    • 1
  • A. S. Sakharov
    • 1
  • A. A. Shryl’
    • 1
  • Yu. V. Maksimyuk
    • 1
  1. 1.Kiev National University of Construction and ArchitectureKievUkraine

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