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Dynamical weight functions for a planar crack

Al-Falou1, Ball, Larralde

  • 1University of Warwick, Coventry CV4 7AL, United Kingdom.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|October 25, 2000
PubMed
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This study presents a new method for calculating stress intensity factors for moving cracks under complex loading conditions. The findings are crucial for understanding crack stability and material fracture mechanics.

Area of Science:

  • Solid Mechanics
  • Fracture Mechanics
  • Computational Mechanics

Background:

  • Evaluating stress intensity factors is critical for predicting material failure.
  • Moving cracks under arbitrary time-dependent and spatial loadings present significant computational challenges.
  • Existing methods often struggle with the complexities of three-dimensional, time-varying loads.

Purpose of the Study:

  • To develop a robust method for calculating stress intensity factors for moving planar cracks.
  • To address the difficulties associated with arbitrary time and spatial variations in loading.
  • To provide essential results for analyzing crack stability, particularly mode II.

Main Methods:

  • Exploitation of the adjoint elasticity equation for weight functions.

Related Experiment Videos

  • Application of a novel and universal Wiener-Hopf factorization of the Rayleigh function.
  • Derivation of asymptotic results for the mode II weight function.

    • Main Results:

    • Successful evaluation of stress intensity factors for moving planar cracks under complex loading scenarios.
    • Overcoming the central difficulty in calculations via a new Wiener-Hopf factorization.
    • Obtained crucial asymptotic results for the mode II weight function.

    Conclusions:

    • The developed method offers a more universal approach to stress intensity factor calculations.
    • The results are vital for advancing the understanding of crack stability and material behavior.
    • This work provides a foundation for further research in dynamic fracture mechanics.