Can Local Stress Enhancement Induce Stability in Fracture Processes? Part I: Apparent Stability

Abstract

By comparing the evolution of the local and equal load sharing fiber bundle models, we point out the paradoxical result that stresses seem to make the local load sharing model stable when the equal load sharing model is not. We explain this behavior by demonstrating that it is only an apparent stability in the local load sharing model, which originates from a statistical effect due to sample averaging. Even though we use the fiber bundle model to demonstrate the apparent stability, we argue that it is a more general feature of fracture processes.

arXiv comment7 pages, 8 figures

References in corpus (6)

• Failure Processes in Elastic Fiber Bundles
• Fracture model with variable range of interaction
• Reconciling Conductance Fluctuations and the Scaling Theory of Localization
• Heterogeneous Interfacial Failure between Two Elastic Blocks
• The Local load sharing fiber bundle model in higher dimensions
• Can Local Stress Enhancement Induce Stability in Fracture Processes? Part II: The Shielding Effect

Cited by in corpus (1)

• Can Local Stress Enhancement Induce Stability in Fracture Processes? Part II: The Shielding Effect