Geodesic
Size effects for micro-fractured bodies under compressive loading
Theoretical and applied mechanics, Tome 38 (2011) no. 4, p. 347
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A two-scale damage model for micro-fractured media is constructed using the asymptotic homogenization method. At the small-scale level, we consider locally periodic microstructures of two-types: micro-cracks nucleating from pores and wing-type micro-cracks. Based on an energy criterion for micro-crack propagation we deduce the macroscopic damage model, without supplementary assumptions on the overall behavior. We show that the resulting two-scale model has the property of capturing a micro-structural length - the distance between neighbor micro-cracks. The influence of the micro-structural parameters on the effective behavior is studied. We illustrate the capacity of the model to predict size effects under compression loadings.
DOI : 10.2298/TAM1104347D
Classification : 74A60 74Q10
Keywords: micro-cracks, wing-type, pores, homogenization, asymptotic developments, damage, size effects, compression loading 
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     title = {Size effects for micro-fractured bodies under compressive loading},
     journal = {Theoretical and applied mechanics},
     pages = {347 },
     year = {2011},
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     number = {4},
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     zbl = {1299.74020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM1104347D/}
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A. M. Dobrovat; C. Dascalu; G. Bilbie; M. T. Nguyen. Size effects for micro-fractured bodies under compressive loading. Theoretical and applied mechanics, Tome 38 (2011) no. 4, p. 347 . doi: 10.2298/TAM1104347D

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