On Statistical Micromechanical Process Damage Models for Brittle Solids with Interacting Microcracksby J. W. Ju, Princeton Univ, Princeton, United States,
Abstract: Two-dimensional micromechanical damage models with strongly interacting microcracks are presented to investigate the overall nonlinear mechanical responses of microcrack-weakened brittle solids. The macroscopic stress-strain relations of elastic solids with interacting microcracks are micromechanically derived by taking the ensemble average over all possible realizations which feature same material microstructural geometry, characteristics, and loading conditions. Analytical solutions of an approximate two-microcrack interaction model are introduced to account for strong microcrack interaction among many randomly oriented and distributed microcracks. The overall elastic-damage compliances of microcrack-weakeded brittle solids under uniaxial and biaxial loads are also derived by further taking the volume average of the ensemble-averaged stress-strain relations. 'Cleavage 1' microcrack growth and 'process damage models' are also presented.
Subject Headings: Cracking | Micromechanics | Brittleness | Stress strain relations | Biaxial loads | Two-dimensional models | Elastic analysis
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