1990
DOI: 10.1063/1.346090
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A constitutive model for the dynamic response of brittle materials

Abstract: A microphysically based material model for the dynamic inelastic response of a brittle material is developed. The progressive loss of strength as well as the post-failure response of a granular material with friction are included. Crack instability conditions (an inelastic surface in stress space) and inelastic strains are obtained by considering the response of individual microcracks to an applied stress field. The assumptions of material isotropy and an exponential distribution for the crack radius are invok… Show more

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Cited by 119 publications
(79 citation statements)
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“…The area of this crimpled surface (F A ) represents the sum total of reacting hot surfaces in an effective sense. This step is similar to one where crack volumes are summed to calculate the effect of distributed cracks on elastic properties (Addessio and Johnson 1990). Implicitly assumed in this step are (1) that once formed, hot spots are identical with a possible exception of size, (2) that intermediate steps in forming hot spots are not significant in burn calculations, and (3) gas-phase reactions in the reservoir are uniform and dependent only on the current state.…”
Section: Energy Localization and Reacting Surface Evolutionmentioning
confidence: 99%
“…The area of this crimpled surface (F A ) represents the sum total of reacting hot surfaces in an effective sense. This step is similar to one where crack volumes are summed to calculate the effect of distributed cracks on elastic properties (Addessio and Johnson 1990). Implicitly assumed in this step are (1) that once formed, hot spots are identical with a possible exception of size, (2) that intermediate steps in forming hot spots are not significant in burn calculations, and (3) gas-phase reactions in the reservoir are uniform and dependent only on the current state.…”
Section: Energy Localization and Reacting Surface Evolutionmentioning
confidence: 99%
“…Earlier modelling approaches for such materials (Addessio and Johnson, 1990), (Bennett et al, 1998), (Hackett and Bennett, 2000) have been developed in the framework of transient dynamic behaviour, thus are not suitable for a static study. So a new model and the associated experimental protocol are developed.…”
Section: Accepted M Manuscriptmentioning
confidence: 99%
“…The linear viscoelasticity/damage formulation presented here is based primarily upon the work of Addessio and Johnson [2]. During deformation, the distribution of microcracks in the material is assumed to be random, with the initial distribution being exponential.…”
Section: Model Formulationmentioning
confidence: 99%