Exact theory of fibre fragmentation in a single-filament composite

摘要: An exact theory is developed to describe the evolution of fibre fragmentation in a single-filament composite test as function underlying statistical strength and fibre/matrix interfacial shear stress, τ. The fragment distribution complicated τ because stress around breaks which do occur recovers applied value, σ, over length δ(σ) determined by Therefore, no other can within δ (σ) an existing break. To account for this effect, decomposed into two parts; fragments formed separated more than at smaller were some prior σ′ < σ when δ(σ′) prevailed. larger identical that with unique non-statistical known exactly. then be from longer fragments. Predictions are compared simulations several common models recovery excellent agreement obtained. present utilized thus derive both thein situ short gauge lengths ≃ experimentally obtained distributions, unambiguous inversion procedure briefly discussed. application multiple-cracking phenomena composites also