1999
DOI: 10.1007/0-306-46937-5_5
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Damage Field Equation and Criterion for Damage Localization

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Cited by 21 publications
(35 citation statements)
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“…a prelude to localized rupture. The geometrical definition of damage localization [7,9] is o oT oD oX oD oX…”
Section: Mean Field Approximationmentioning
confidence: 99%
“…a prelude to localized rupture. The geometrical definition of damage localization [7,9] is o oT oD oX oD oX…”
Section: Mean Field Approximationmentioning
confidence: 99%
“…1), it is of critical interest to propose a criterion which corresponds to this threshold. With the derivation given in (BAI et al, 1998), here we only cite the expression for a simple lower bound of the criterion for damage localization. It is assumed that the damage localization would occur once the relative gradient of damage begins to increase with time.…”
Section: Prediction Of Damage Localizationmentioning
confidence: 99%
“…Also a transscale (from meso-to macroscopic) analysis has been proposed to correlate the important microstructural effects and the macroscopic mechanical behavior of solids, especially rupture. It has been found that, as a precursor of brittle rupture, the population of microdamage tends to form macroscopically localized damage (BAI et al, 1998). This may provide an informative way to understand the abrupt rupture of a fault containing numerous defects.…”
Section: Introductionmentioning
confidence: 99%
“…Also, D * is a proper indicator of critical damage to localization. Damage localization can be formulated as follows [15] …”
Section: Imposed Deborah Number Governs the Failure Processmentioning
confidence: 99%
“…It has been derived that provided the dynamic function of damage can be expressed by f f(D, ) = σ (13) Under a certain approximation the damage localization condition (12) can be expressed by the following inequality [15],…”
Section: Imposed Deborah Number Governs the Failure Processmentioning
confidence: 99%