A Micromechanical Damage Model for Uniaxially Reinforced Composites Weakened by Interfacial Arc Microcracks

[+] Author and Article Information
J. W. Ju

Department of Civil Engineering and Operations Research, Princeton University, Princeton, NJ 08544

J. Appl. Mech 58(4), 923-930 (Dec 01, 1991) (8 pages) doi:10.1115/1.2897709 History: Received January 17, 1990; Revised November 19, 1990; Online March 31, 2008


A micromechanical anisotropic damage model is presented for uniaxially reinforced (brittle matrix) composites weakened by an ensemble of (fiber/matrix) interfacial microcracks. All microcracks are assumed to occur along the fiber/matrix interfaces, and are modeled as arc microcracks under “cleavage 1” deformation processes. Microcrack-induced strains and overall elastic-damage compliances are analytically derived based on micromechanical bimaterial (interfacial) arc-microcrack opening displacements and mesostructural probabilistic distributions. Both “stationary ” and “evolutionary ” damage models are given. In particular, microcrack kinetic equations are constructed based on micromechanical fracture criterion and mesostructural geometry in a representative volume element. Simple and efficient computational algorithms as well as some numerical uniaxial tension tests are also presented. Finally, it is noted that not a single arbitrary (fitted) “material constant” is employed in the present work.

Copyright © 1991 by The American Society of Mechanical Engineers
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