Micromechanical Damage Theories for Brittle Solids with Interacting Microcracks
Abstract
Two-dimensional and three-dimensional statistical micromechanical damage models with randomly located 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 micro-cracks are micromechanically derived by taking the ensemble average over all possible realizations. Several different approximate analytical solutions of a two-crack interaction model are introduced to account for micro- crack interaction among many randomly oriented and distributed microcracks. The overall elastic damage compliances of microcrack-weakened brittle solids are also derived by further taking the volume average of the ensemble-averaged stress-strain relations over the entire material mesostructural domain. Some special examples are investigated by using the proposed framework. At variance with existing phenomenological damage models, the proposed framework does not employ any fitted 'material parameters'. 'Cleavage 1' microcrack growth and 'evolutionary damage models' within the proposed context are also presented. Micromechanical damage mechanics, Brittle solids, Interact microcracks, Evolutionary damage models, Constitutive modelling
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 15, 1993
- Accession Number
- ADA266348
Entities
People
- Jiann-wen Ju
Organizations
- Princeton University