Onset of Localization in Heterogeneous Interfacial Failure

Abstract

We study numerically the failure of an interface joining two elastic materials under load using a fiber bundle model connected to an elastic half space. We find that the breakdown process follows the equal load sharing fiber bundle model without any detectable spatial correlations between the positions of the failing fibers until localization sets in. The onset of localization is an instability, not a phase transition. Depending on the elastic constant describing the elastic half space, localization sets in before or after the critical load causing the interface to fail completely, is reached. There is a crossover between failure due to localization or failure without spatial correlations when tuning the elastic constant, not a phase transition. Contrary to earlier claims based on models different from ours, we find that a finite fraction of fibers must fail before the critical load is attained, even in the extreme localization regime, i.e.\ for very small elastic constant. We furthermore find that the critical load remains finite for all values of the elastic constant in the limit of an infinitely large system.

4 pages, 5 figures

References in corpus (6)

• Failure Processes in Elastic Fiber Bundles
• First-Order Transition in the Breakdown of Disordered Media
• Burst avalanches in solvable models of fibrous materials
• Fracture model with variable range of interaction
• Roughness of Interfacial Crack Front: Correlated Percolation in the Damage Zone
• Heterogeneous Interfacial Failure between Two Elastic Blocks

Cited by in corpus (17)

• Modes of failures in disordered solids
• Universality Classes in Constrained Crack Growth
• Nucleation versus percolation: Scaling criterion for failure in disordered solids
• Brittle to Ductile Transition in a Fiber Bundle with Strong Heterogeneity
• The Local load sharing fiber bundle model in higher dimensions
• Crack-front model for adhesion of soft elastic spheres with chemical heterogeneity
• Cracks in random brittle solids: From fiber bundles to continuum mechanics
• Maximizing the strength of fiber bundles under uniform loading
• Phase transitions and correlations in fracture processes where disorder and stress compete
• Interface propagation in fiber bundles: Local, mean-field and intermediate range-dependent statistics
• Crack Localization and the Interplay between Stress Enhancement and Thermal Noise
• Role of the sample thickness in planar crack propagation
• Effect of localized loading on failure threshold of fiber bundles
• 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
• Making the case of GPUs in courses on computational physics
• Modeling crack propagation in heterogeneous materials: Griffith's law, intrinsic crack resistance and avalanches