INAUGURAL ARTICLE by a Recently Elected Academy Member:Scaling theory for quasibrittle structural failure

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Spectral Stiffness Microplane Model for Quasibrittle Composite Laminates—Part I: Theory (2008, background): “The energetic size effect at fracture initiation, which is observed in flexural failure of laminates, the size of which represents the characteristic length of the material, has recently been modeled as a consequence of stress redistribution due to formation of a boundary layer of cracking (or FPZ) ”
Unified nano-mechanics based probabilistic theory of quasibrittle and brittle structures: I. Strength, static crack growth, lifetime and scaling (2011, methodology): “…to obtain analytical expressions for sN and l, but an approximate analytical formula for the mean strength has been obtained by asymptotic matching (Bažant, 2004, 2005): sN ¼ Na D þ Nb D c=m" #1=c ð48Þ Here parameters Na, Nb, c and m are to be determined by asymptotic properties of the size…”