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1. | CNRS, Ecole Polytechnique, Laboratoire de Mécanique des Solides, (UMR 7649), F-91128 Palaiseau Cedex, France, France |
2. | Institute of Mechanical Sciences and Industrial Applications, (UMR EDF-CNRS-CEA-ENSTA Paristech 9219), 92141 Clamart, France |
References:
[1] |
Comptes Rendus Mécanique, 337 (2009), 166-172.
doi: 10.1016/j.crme.2009.04.002. |
[2] |
Comptes Rendus Mécanique, 337 (2009), 53-59.
doi: 10.1016/j.crme.2008.12.001. |
[3] |
Annals of Solid and Structural Mechanics, 1 (2010), 139-158.
doi: 10.1007/s12356-010-0011-3. |
[4] |
Adv. Appl. Mech., 7 (1962), 55-129. |
[5] |
J. Elasticity, 91 (2008), 5-148.
doi: 10.1007/s10659-007-9107-3. |
[6] |
Masson, 1978. Google Scholar |
[7] |
cmt, 20 (2008), 1-19.
doi: 10.1007/s00161-008-0071-3. |
[8] |
Symposium on Continuous Damage and Fracture, (2000). Google Scholar |
[9] |
Eur. J. Mech. A/Solids, 25 (2006), 649-669.
doi: 10.1016/j.euromechsol.2006.05.002. |
[10] |
Key Engineering Materials, 525-526 (2013), 489-492.
doi: 10.4028/www.scientific.net/KEM.525-526.489. |
[11] |
Mathematics and Mechanics of Complex Systems, 2 (2014), 141-179.
doi: 10.2140/memocs.2014.2.141. |
[12] |
P. Argoul, M. Frémond (Eds.), Proceedings of IUTAM Symposium Variations de domaines et frontières libres en mécanique, Paris, 1997, Kluwer Academic, 6 (1999), 203-210.
doi: 10.1007/978-94-011-4738-5_24. |
[13] |
Eur. J. Mech. A/Solids, 29 (2010), 496-507.
doi: 10.1016/j.euromechsol.2010.02.004. |
[14] |
J. Mech. Phys. Solids, 8 (1960), 100-104.
doi: 10.1016/0022-5096(60)90013-2. |
[15] |
Comptes Rendus Mècanique, 335 (2007), 708-713.
doi: 10.1016/j.crme.2007.07.003. |
[16] |
Continuum Mech. Thermodyn, 19 (2007), 191-210.
doi: 10.1007/s00161-007-0051-z. |
[17] |
Continuum Mech. Thermodyn, 21 (2009), 41-55.
doi: 10.1007/s00161-009-0098-0. |
[18] |
SIAM J. Math. Anal., 36 (2005), 1887-1928.
doi: 10.1137/S0036141004439362. |
[19] |
Philos. Trans. Roy. Soc. London, 221 (1921), 582-593.
doi: 10.1098/rsta.1921.0006. |
[20] |
Pitman - Monographs and Studies in Mathematics, 1985. Google Scholar |
[21] |
Continuum Mech. Thermodyn., 18 (2006), 23-45.
doi: 10.1007/s00161-006-0023-8. |
[22] |
Computational Materials Science, 16 (1999), 267-274.
doi: 10.1016/S0927-0256(99)00069-5. |
[23] |
Comptes Rendus Mecanique, 332 (2004), 313-318. Google Scholar |
[24] |
International Journal of Fracture, 175 (2012), 127-150.
doi: 10.1007/s10704-012-9708-0. |
[25] |
Comput. Methods Appl. Mech. Engrg., 198 (2008), 302-317.
doi: 10.1016/j.cma.2008.08.006. |
[26] |
Continuum Mech. Thermodyn, 16 (2004), 391-409.
doi: 10.1007/s00161-003-0164-y. |
[27] |
P. Noordhoff Ltd, Groningen, 1963. |
[28] |
Ultramicroscopy, 40 (1992). Google Scholar |
[29] |
Int. J. Fract., 110 (2001), 351-369. Google Scholar |
[30] |
The Trend in Engineering, 13 (1961), 9-14. Google Scholar |
[31] |
Eng. Fract. Mech., 70 (2003), 209-232.
doi: 10.1016/S0013-7944(02)00034-6. |
[32] |
Eur. J. Mech. A/Solids, 22 (2003), 545-565.
doi: 10.1016/S0997-7538(03)00046-9. |
[33] |
Mat. Sci. Eng. A, 125 (1990), 203-213. Google Scholar |
[34] |
J. Mech. Phys. Solids, 15 (1967), 151-162.
doi: 10.1016/0022-5096(67)90029-4. |
show all references
References:
[1] |
Comptes Rendus Mécanique, 337 (2009), 166-172.
doi: 10.1016/j.crme.2009.04.002. |
[2] |
Comptes Rendus Mécanique, 337 (2009), 53-59.
doi: 10.1016/j.crme.2008.12.001. |
[3] |
Annals of Solid and Structural Mechanics, 1 (2010), 139-158.
doi: 10.1007/s12356-010-0011-3. |
[4] |
Adv. Appl. Mech., 7 (1962), 55-129. |
[5] |
J. Elasticity, 91 (2008), 5-148.
doi: 10.1007/s10659-007-9107-3. |
[6] |
Masson, 1978. Google Scholar |
[7] |
cmt, 20 (2008), 1-19.
doi: 10.1007/s00161-008-0071-3. |
[8] |
Symposium on Continuous Damage and Fracture, (2000). Google Scholar |
[9] |
Eur. J. Mech. A/Solids, 25 (2006), 649-669.
doi: 10.1016/j.euromechsol.2006.05.002. |
[10] |
Key Engineering Materials, 525-526 (2013), 489-492.
doi: 10.4028/www.scientific.net/KEM.525-526.489. |
[11] |
Mathematics and Mechanics of Complex Systems, 2 (2014), 141-179.
doi: 10.2140/memocs.2014.2.141. |
[12] |
P. Argoul, M. Frémond (Eds.), Proceedings of IUTAM Symposium Variations de domaines et frontières libres en mécanique, Paris, 1997, Kluwer Academic, 6 (1999), 203-210.
doi: 10.1007/978-94-011-4738-5_24. |
[13] |
Eur. J. Mech. A/Solids, 29 (2010), 496-507.
doi: 10.1016/j.euromechsol.2010.02.004. |
[14] |
J. Mech. Phys. Solids, 8 (1960), 100-104.
doi: 10.1016/0022-5096(60)90013-2. |
[15] |
Comptes Rendus Mècanique, 335 (2007), 708-713.
doi: 10.1016/j.crme.2007.07.003. |
[16] |
Continuum Mech. Thermodyn, 19 (2007), 191-210.
doi: 10.1007/s00161-007-0051-z. |
[17] |
Continuum Mech. Thermodyn, 21 (2009), 41-55.
doi: 10.1007/s00161-009-0098-0. |
[18] |
SIAM J. Math. Anal., 36 (2005), 1887-1928.
doi: 10.1137/S0036141004439362. |
[19] |
Philos. Trans. Roy. Soc. London, 221 (1921), 582-593.
doi: 10.1098/rsta.1921.0006. |
[20] |
Pitman - Monographs and Studies in Mathematics, 1985. Google Scholar |
[21] |
Continuum Mech. Thermodyn., 18 (2006), 23-45.
doi: 10.1007/s00161-006-0023-8. |
[22] |
Computational Materials Science, 16 (1999), 267-274.
doi: 10.1016/S0927-0256(99)00069-5. |
[23] |
Comptes Rendus Mecanique, 332 (2004), 313-318. Google Scholar |
[24] |
International Journal of Fracture, 175 (2012), 127-150.
doi: 10.1007/s10704-012-9708-0. |
[25] |
Comput. Methods Appl. Mech. Engrg., 198 (2008), 302-317.
doi: 10.1016/j.cma.2008.08.006. |
[26] |
Continuum Mech. Thermodyn, 16 (2004), 391-409.
doi: 10.1007/s00161-003-0164-y. |
[27] |
P. Noordhoff Ltd, Groningen, 1963. |
[28] |
Ultramicroscopy, 40 (1992). Google Scholar |
[29] |
Int. J. Fract., 110 (2001), 351-369. Google Scholar |
[30] |
The Trend in Engineering, 13 (1961), 9-14. Google Scholar |
[31] |
Eng. Fract. Mech., 70 (2003), 209-232.
doi: 10.1016/S0013-7944(02)00034-6. |
[32] |
Eur. J. Mech. A/Solids, 22 (2003), 545-565.
doi: 10.1016/S0997-7538(03)00046-9. |
[33] |
Mat. Sci. Eng. A, 125 (1990), 203-213. Google Scholar |
[34] |
J. Mech. Phys. Solids, 15 (1967), 151-162.
doi: 10.1016/0022-5096(67)90029-4. |
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