On Statistical Micromechanical Process Damage Models for Brittle Solids with Interacting Microcracks

by J. W. Ju, Princeton Univ, Princeton, United States,

Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond


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 | Stress strain relations | Micromechanics | Brittleness | Two-dimensional models | Material failures | Biaxial loads

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