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Related Experiment Video

Updated: Jul 13, 2026

Investigating Stress-relaxation and Failure Responses in the Trachea
08:07

Investigating Stress-relaxation and Failure Responses in the Trachea

Published on: October 18, 2022

Relaxation dynamics in strained fiber bundles.

Srutarshi Pradhan1, Per C Hemmer

  • 1Department of Physics, Norwegian University of Science and Technology, N-7491 Trondheim, Norway. pradhan.srutarshi@ntnu.no

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 7, 2007
PubMed
Summary

This study investigates the fiber bundle model under load, revealing how the number of failure steps depends on stress. The critical divergence exponent is -1/2, regardless of fiber strength distribution.

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Biomechanical Characterization of Human Soft Tissues Using Indentation and Tensile Testing
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Biomechanical Characterization of Human Soft Tissues Using Indentation and Tensile Testing

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Last Updated: Jul 13, 2026

Investigating Stress-relaxation and Failure Responses in the Trachea
08:07

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Published on: October 18, 2022

Biomechanical Characterization of Human Soft Tissues Using Indentation and Tensile Testing
07:07

Biomechanical Characterization of Human Soft Tissues Using Indentation and Tensile Testing

Published on: December 13, 2016

Area of Science:

  • Materials Science
  • Statistical Mechanics
  • Continuum Mechanics

Background:

  • The global load-sharing fiber bundle model simulates material failure under stress.
  • Individual fiber strengths are randomly distributed, leading to progressive failure.
  • The model exhibits relaxation to equilibrium or complete breakdown.

Purpose of the Study:

  • To determine the dependence of the number of failure steps (tf) on applied stress and initial load per fiber.
  • To analyze subcritical and supercritical stress regimes.
  • To characterize the critical divergence of the failure process.

Main Methods:

  • Utilizing computational simulations to model the fiber bundle behavior.
  • Employing theoretical estimations to derive relationships for tf.
  • Analyzing the impact of varying stress levels and initial load conditions.

Main Results:

  • The number of failure steps (tf) was found to depend on stress and initial load per fiber.
  • A finite number of steps (tf) was observed for finite fiber bundles.
  • The two-sided critical divergence was characterized by an exponent of -1/2.

Conclusions:

  • The exponent -1/2 for critical divergence is independent of the fiber strength distribution.
  • The study provides insights into the failure dynamics of heterogeneous materials.
  • Understanding these dynamics is crucial for predicting material reliability.