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Summary

The theoretical developments and the numerical applications of a time-dependent damage law are presented. This law is deduced from considerations at the micro-scale where non-planar growth of micro-cracks, following a subcritical propagation criterion, is assumed. The passage from micro-scale to macro-scale is done through an asymptotic homogenization approach. Results of numerical simulations of time-dependent damage behavior are presented.

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References

  1. Dascalu, C.: A two-scale damage model with material length. C.R. Mécanique 337, 645–652 (2009)

    Article  Google Scholar 

  2. Dascalu, C., Bilbie, G., Agiasofitou, E.: Damage and size effect in elastic solids: a homogenization approach. Int. J. Solid Struct. 45, 409–430 (2008)

    Article  MATH  Google Scholar 

  3. Dascalu, C., François, B., Keita, O.: A two-scale model for subcritical damage propagation. Int. J. Solid Struct. 47, 493–502 (2010)

    Article  MATH  Google Scholar 

  4. François, B., Dascalu, C.: A two-scale time-dependent damage model based on non-planar growth of micro-cracks. J. Mech. Phys. Solids 58, 1928–1946 (2010)

    Article  MathSciNet  Google Scholar 

  5. Leblond, J.B.: Crack paths in three-dimensional elastic solids. I: two-term expansion of the stress intensity factors - application to crack path stability in hydraulic Fracturing. Int. J. Solids Struct. 36, 79–103 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  6. Schütte, H., Bruhns, O.T.: On a geometrically nonlinear damage model based on a multiplicative decomposition of the deformation gradient and the propagation of microcracks. J. Mech. Phys. Solids 50, 827–853 (2002)

    Article  MathSciNet  MATH  Google Scholar 

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Dascalu, C., François, B. (2011). A TWO-SCALE DAMAGE LAW FOR CREEPING ROCKS. In: Borja, R.I. (eds) Multiscale and Multiphysics Processes in Geomechanics. Springer Series in Geomechanics and Geoengineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19630-0_14

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  • DOI: https://doi.org/10.1007/978-3-642-19630-0_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19629-4

  • Online ISBN: 978-3-642-19630-0

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