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Two scaling domains in multiple cracking phenomena

Handge1, Leterrier, Rochat

  • 1Theoretical Polymer Physics, University of Freiburg, Hermann-Herder-Strasse 3, 79104 Freiburg im Breisgau, Germany.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|January 4, 2001
PubMed
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Composite material fragmentation under tension exhibits two distinct strain regimes. The mean fragment length

Area of Science:

  • Materials Science
  • Solid Mechanics
  • Composite Materials

Background:

  • Two-phase composite systems, like coatings on substrates or fibers in matrices, undergo fragmentation under stress.
  • Understanding fragmentation behavior is crucial for predicting material performance and durability.

Purpose of the Study:

  • To investigate the fragmentation regimes of two-phase composite systems under uniaxial tension.
  • To theoretically and experimentally analyze the factors influencing fragment length evolution.
  • To validate a theoretical model with experimental data.

Main Methods:

  • Theoretical analysis of fragmentation under uniaxial tension.
  • Derivation of scaling laws for mean fragment length based on strain.
  • Experimental investigation using sequential cracking of silicon oxide (SiOx) coatings on thermoplastic substrates.

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Main Results:

  • Two distinct fragmentation regimes were identified, characterized by different power-law relationships between mean fragment length and applied strain.
  • The scaling exponent in both regimes was found to depend on the strength distribution's shape parameter.
  • For larger strains, the exponent was also influenced by the linearity of stress transfer between constituents.

Conclusions:

  • The study successfully identified and explained two fragmentation regimes in composite materials.
  • Theoretical predictions regarding the influence of strength distribution and stress transfer were supported by experimental data.
  • The findings provide a framework for understanding and predicting the mechanical behavior of layered composite systems.