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Braides, Andrea and Solci, Margherita:
Multi-Scale Free-Discontinuity Problems with Soft Inclusions
Bollettino dell'Unione Matematica Italiana Serie 9 6 (2013), fasc. n.1, p. 29-51, (English)
pdf (360 Kb), djvu (207 Kb). | MR 3077112 | Zbl 1272.49024

Referenze Bibliografiche
[1] E. ACERBI - V. CHIADÒ PIAT - G. DAL MASO - D. PERCIVALE, An extension theorem from connected sets, and homogenization in general periodic domains. Nonlinear Anal. 18 (1992), 481-496. | fulltext (doi) | MR 1152723 | Zbl 0779.35011
[2] L. AMBROSIO - N. FUSCO - D. PALLARA, Functions of Bounded Variation and Free Discontinuity Problems, Oxford University Press, Oxford, 2000. | MR 1857292 | Zbl 0957.49001
[3] I. BABUŠKA - B. ANDERSSON - P. J. SMITH - K. LEVIN, Damage analysis of fiber composites Part I: Statistical analysis on fiber scale. Computer Methods in Applied Mechanics and Engineering 172 (1999), 27-77. | fulltext (doi) | MR 1685902 | Zbl 0956.74048
[4] B. BOURDIN - G. A. FRANCFORT - J.-J. MARIGO, The Variational Approach to Fracture. Journal of Elasticity, 91 (2008), 5-148. | fulltext (doi) | MR 2390547 | Zbl 1176.74018
[5] A. BRAIDES, Approximation of Free-Discontinuity Problems. Lecture Notes in Math. 1694, Springer Verlag, Berlin, 1998. | fulltext (doi) | MR 1651773 | Zbl 0909.49001
[6] A. BRAIDES, $\Gamma$-convergence for Beginners, Oxford University Press, Oxford, 2002. | fulltext (doi) | MR 1968440
[7] A. BRAIDES, A handbook of $\Gamma$-convergence. In Handbook of Differential Equations. Stationary Partial Differential Equations, Volume 3 (M. Chipot and P. Quittner, eds.), Elsevier, 2006. | MR 2569337 | Zbl 1195.35002
[8] A. BRAIDES - V. CHIADÒ PIAT - A. PIATNITSKI, A variational approach to double-porosity problems. Asymptotic Anal. 39 (2004), 281-308. | MR 2097996 | Zbl 1113.35014
[9] A. BRAIDES - A. DEFRANCESCHI, Homogenization of Multiple Integrals. Oxford University Press, Oxford, 1998. | MR 1684713 | Zbl 0911.49010
[10] A. BRAIDES - A. DEFRANCESCHI - E. VITALI, Homogenization of free discontinuity problems. Arch. Rational Mech. Anal. 135 (1996), 297-356. | fulltext (doi) | MR 1423000 | Zbl 0924.35015
[11] A. BRAIDES - A. GARRONI, Homogenization of periodic nonlinear media with soft and stiff inclusions. Math. Meth. Mod. Appl. Sci. 5 (1995), 543-564. | fulltext (doi) | MR 1335833 | Zbl 0836.73003
[12] F. CAGNETTI - L. SCARDIA, An extension theorem in SBV and an application to the homogenization of the Mumford-Shah functional in perforated domains. J. Math. Pures Appl. 95 (2011), 349-381. | fulltext (doi) | MR 2776374 | Zbl 1217.49036
[13] G. DAL MASO, An Introduction to $\Gamma$-convergence, Birkhauser, Boston, 1993. | fulltext (doi) | MR 1201152 | Zbl 0816.49001
[14] A. DESIMONE - J. J. MARIGO - L. TERESI, A damage mechanics approach to stress softening and its application to rubber. European Journal of Mechanics A, 20 (2001), 873-892. | fulltext (doi) | MR 1871955 | Zbl 1008.74005
[15] G. J. DVORAK, Composite materials: Inelastic behavior, damage, fatigue and fracture. International Journal of Solids and Structures, 37 (2000), 155-170. | fulltext (doi) | MR 1737571 | Zbl 1075.74030
[16] M. SOLCI, Double-porosity homogenization for perimeter functionals. Math. Meth. Appl. Sci. 32 (2009), 1971-2002. | fulltext (doi) | MR 2560935 | Zbl 1182.35022
[17] M. SOLCI, Multiphase double-porosity homogenization for perimeter functionals. Math. Meth. Appl. Sci. 35 (2012), 598-620. | fulltext (doi) | MR 2908769 | Zbl 1237.35154

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