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Self-consistent theory of rupture by progressive diffuse damage.

S Gluzman1, D Sornette

  • 1Laboratoire de Physique de la Matière Condensée, CNRS UMR6622, Boîte Postale 71, Parc Valrose, 06108 Nice Cedex 2, France. gluz@idirect.com

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 21, 2001
PubMed
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This study explores crack growth theories, finding finite-time singularities for damage exponents 0=2, regularization schemes alter crack dynamics, with some avoiding singularities but lacking a continuous limit.

Area of Science:

  • Materials Science
  • Physics
  • Fracture Mechanics

Background:

  • Crack growth is governed by cumulative damage variables dependent on stress history.
  • Previous self-consistent theories neglect stress-dependent damage, leading to limitations.

Purpose of the Study:

  • To analyze a self-consistent theory of crack growth.
  • To investigate crack dynamics under different damage exponent regimes.
  • To explore regularization schemes for undefined rupture dynamics.

Main Methods:

  • Analysis of a self-consistent theory of crack growth.
  • Application of the functional renormalization method.
  • Investigation of three distinct regularization schemes (damage saturation, minimum crack tip distance, fixed stress maximum).

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Main Results:

  • For damage exponents 0
  • The functional renormalization method replaces divergences with singularities matching experimental acoustic emission data.
  • For m>=2, regularization schemes modify crack dynamics, with some yielding time-defined behavior but lacking a continuous limit.

Conclusions:

  • The study refines crack growth theories by incorporating stress-damage dependence.
  • Regularization schemes are crucial for understanding crack dynamics in specific regimes (m>=2).
  • Findings offer insights into fracture mechanics and material failure prediction.