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Study o n two-phase materials

This study examines the damage processes in two-phase materials characterized by a strong fiber matrix combination. By analyzing the acoustic signals—commonly known as crackling noise—emitted from developing cracks, we can predict potential failures in these materials. Understanding the interplay between components with significantly different mechanical strengths allows for advancements in non-destructive testing (NDT) techniques. Our model extends classical fiber bundle models (FBM) to incorporate unbreakable fibers and explores load redistribution in various simulated conditions, facilitating better risk assessments in material use.

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Study o n two-phase materials

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  1. Study on two-phase materials Kovács Kornélés Kun Ferenc Debreceni Egyetem Elméleti Fizikai Tanszék

  2. Motivation • Materials of high mechanical performance are often fabricated by embedding strong fibers in a relatively weak matrix. The damage process of such two-phase materials can be followed experimentally by recording the acoustic signals - also known as crackling noise - emitted by cracks. This can be used to predict the imminent failure. • By understanding the effect of the two component with widely different mechanical strength, our results shall be used for developing better NDT (non-destructive testing) techniques for such materials.

  3. Modell • Extension of the classical FBM: • fraction of fibers are un-breakable • Used set-up in simulations: • L = 101 -> 1001 system size • N = LxL number of fibers • : fraction of strong fibersaz • Load redistribution: • global (GLS) • local (LLS)

  4. GLS Constitutive behaviour: • Strength disorder of weak fibers: • Weibull: • Uniform:

  5. GLS – Macroscopic response

  6. GLS – Avalanches 1 M. Kloster, A. Hansen and P.C. Hemmer, ”Burst Avalanches in Solvable Models of Fibrious Materials”, Phy. Rev. E 56, 2615 (1997)

  7. GLS – Avalanches • Power law divergence • Scaling

  8. LLS

  9. LLS – Macroscopic response The threshold distribution is uniform: • a görbének –ben szakadása van • a görbe folytonossá válik

  10. LLS – Avalanches

  11. LLS – Avalanches • Power law divergence

  12. LLS – Avalanches • Scaling

  13. LLS – Avalanches • Skálázhatóság

  14. Cluster Size

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