Size effects in statistical fracture

Abstract

We review statistical theories and numerical methods employed to consider the sample size dependence of the failure strength distribution of disordered materials. We first overview the analytical predictions of extreme value statistics and fiber bundle models and discuss their limitations. Next, we review energetic and geometric approaches to fracture size effects for specimens with a flaw. Finally, we overview the numerical simulations of lattice models and compare with theoretical models.

review article 19 pages, 5 figures

References in corpus (3)

• Statistical Models of Fracture
• Crackling dynamics in material failure as the signature of a self-organized dynamic phase transition
• Role of disorder in the size-scaling of material strength

Cited by in corpus (15)

• Atomistic Representation of Anomalies in the Failure Behaviour of Nanocrystalline Silicene
• Finite-Size Effects on Return Interval Distributions for Weakest-Link-Scaling Systems
• From fracture to fragmentation: discrete element modeling -- Complexity of crackling noise and fragmentation phenomena revealed by discrete element simulations
• Stochastic Stick - Slip Model Linking Crustal Shear Strength and Earthquake Interevent Times
• Optimization and plasticity in disordered media
• Size scaling of failure strength with fat-tailed disorder in a fiber bundle model
• Statistical dynamics of early creep stages in disordered materials
• Effects of disorder on deformation and failure of brittle porous materials
• Scaling laws of failure dynamics on complex networks
• Role of the sample thickness in planar crack propagation
• Crackling noise in three-point bending of heterogeneous materials
• Damage accumulation in quasi-brittle fracture
• Dynamic instability of a growing adsorbed polymorphic filament
• Fatigue in disordered media
• Size scaling of failure strength at high disorder