Unified nano-mechanics based probabilistic theory of quasibrittle and brittle structures. I: Strength, static crack growth, lifetime and scaling

DOI10.1016/j.jmps.2011.03.002zbMath1270.74011OpenAlexW2016127608WikidataQ108166511 ScholiaQ108166511MaRDI QIDQ361412

Martin Z. Bazant, Zdeněk P. Bažant, Jia-Liang Le

Publication date: 29 August 2013

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0022509611000470

zbMATH Keywords

fracturesize effectactivation energyprobabilistic mechanicsstrength statistics

Mathematics Subject Classification ID

Micromechanical theories (74A60) Theories of fracture and damage (74A45) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items (9)

Unified nano-mechanics based probabilistic theory of quasibrittle and brittle structures. II: Fatigue crack growth, lifetime and scaling ⋮ Phase-field modeling of stochastic fracture in heterogeneous quasi-brittle solids ⋮ Finite weakest-link model of lifetime distribution of quasibrittle structures under fatigue loading ⋮ A fiber bundle-plastic chain model for quasi-brittle materials under uniaxial loading ⋮ Design of quasibrittle materials and structures to optimize strength and scaling at probability tail: an apercu ⋮ General size effect on strength of bimaterial quasibrittle structures ⋮ Meso-scale physical modeling of energetic degradation function in the nonlocal macro-meso-scale consistent damage model for quasi-brittle materials ⋮ An analytic solution for the problem of two symmetrical edge cracks emanating from a circular hole with surface effect under antiplane shear ⋮ An equivalent stress-gradient regularization model for coupled damage-viscoelasticity

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