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Quasi-static crack propagation by Griffith’s criterion. (English) Zbl 1155.74035

MSC:
74R10 Brittle fracture
74H20 Existence of solutions of dynamical problems in solid mechanics
74H25 Uniqueness of solutions of dynamical problems in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
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References:
[1] Ambrosio L., Functions of Bounded Variation and Free Discontinuity Problems (2000) · Zbl 0957.49001
[2] DOI: 10.1016/0022-0396(89)90116-2 · Zbl 0698.35046
[3] DOI: 10.1007/BF02237995 · Zbl 0465.65059
[4] DOI: 10.1016/S0022-5096(99)00028-9 · Zbl 0995.74057
[5] DOI: 10.1007/BF02510243 · Zbl 0890.73060
[6] DOI: 10.1016/j.cma.2005.06.004 · Zbl 1124.65108
[7] DOI: 10.1007/s00205-002-0240-7 · Zbl 1030.74007
[8] DOI: 10.1007/s00205-007-0080-6 · Zbl 1138.74042
[9] Ciarlet P. G., Studies in Mathematics and its Applications 4, in: The Finite Element Method for Elliptic Problems (1978) · Zbl 0383.65058
[10] DOI: 10.1007/s00205-004-0351-4 · Zbl 1064.74150
[11] DOI: 10.1002/mma.1670030106 · Zbl 0493.73087
[12] Efendiev M. A., J. Convex Anal. 13 pp 151–
[13] DOI: 10.1002/cpa.3039 · Zbl 1068.74056
[14] DOI: 10.1016/S0022-5096(98)00034-9 · Zbl 0966.74060
[15] DOI: 10.1081/NFA-120026378 · Zbl 1046.74048
[16] Griffith A. A., Phil. Trans. Roy. Soc. London 18 pp 16–
[17] Grisvard P., Elliptic Problems in Nonsmooth Domains (1985) · Zbl 0695.35060
[18] Grisvard P., Singularities in Boundary Value Problems (1992) · Zbl 0766.35001
[19] DOI: 10.1142/S0218202508003121 · Zbl 1151.49014
[20] DOI: 10.1177/1081286505046482 · Zbl 1133.74038
[21] DOI: 10.1017/CBO9781139172400 · Zbl 0753.73001
[22] DOI: 10.1007/s00211-003-0456-y · Zbl 1068.74080
[23] Rossi R., Ann. Sc. Norm. Super. Pisa Cl. Sci. 7 pp 97–
[24] Toader R., Boll. Unione Mat. Ital.
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