Predictability and Strength of a Heterogeneous System : The Role of System Size and Disorder

Abstract

In this work I have studied the effect of disorder and system size in fiber bundle model with a certain range of stress redistribution. The strength of the bundle as well as the failure abruptness is observed with varying disorder, stress release range and system sizes. With a local stress concentration, the strength of the bundle is observed to decrease with system size. The behavior of such decrement changes drastically as disorder strength is tuned. At moderate disorder, the critical stress scales with system size in an inverse logarithmic manner. In low disorder, where the brittle response is highly expected, the strength decreases in a scale free manner. With increasing system size and stress release range the model approaches thermodynamic limit and the mean field limit respectively. A detail study expresses different limit in the model and the corresponding modes of failure on the plane of above mentioned parameters.

arXiv comment7 pages, 9 figures

References in corpus (6)

• Failure Processes in Elastic Fiber Bundles
• From damage percolation to crack nucleation through finite size criticality
• Fracture model with variable range of interaction
• Fracturing highly disordered materials
• Failure properties of loaded fiber bundles having a lower cutoff in fiber threshold distribution
• Nucleation versus percolation: Scaling criterion for failure in disordered solids

Cited by in corpus (10)

• Modes of failures in disordered solids
• Athermal Fracture of Elastic Networks: How Rigidity Challenges the Unavoidable Size-Induced Brittleness
• Creep-like behavior in athermal threshold dynamics: Effects of disorder and stress
• Failure time in heterogeneous systems
• Correlation between avalanches and emitted energies during fracture with variable stress release range
• Fiber bundle model under heterogeneous loading
• From nucleation to percolation: the effect of system size and system disorder
• From nucleation to percolation: the effect of system size when disorder and stress localization compete
• Stability in fiber bundle model : Existence of strong links and the effect of disorder
• Modeling crack propagation in heterogeneous materials: Griffith's law, intrinsic crack resistance and avalanches