Statistical Meso-Mechanics of Damage and Failure: How Microdamage Induces Disaster by Yilong Bai & Mengfen Xia & Fujiu Ke

Author:Yilong Bai & Mengfen Xia & Fujiu Ke
Language: eng
Format: epub
ISBN: 9789813291928
Publisher: Springer Singapore

(2.9.34)

where , but the nominal DUN is approximately assumed to be the damage reached at the maximum stress in its history . The two damage DL and DUN should be calculated based the failure criterion of meso-elements and the distribution of meso-strength as discussed before.

The calculations based on the above equations show that the deformation is significantly affected by the localization length scale γ; see Fig. 2.90; but, essentially irrelevant to the variation of the biaxial loading ratio, see Fig. 2.91.

Fig. 2.90Relations of the nominal strain of the sample εy and the strain in localized zone εy,L with various localized length scales γ = 0.2, 0.3, 0.4, 0.5 (after Lu 2011)

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