×

zbMATH — the first resource for mathematics

Existence of solutions to a regularized model of dynamic fracture. (English) Zbl 1425.74418

MSC:
74R10 Brittle fracture
74H20 Existence of solutions of dynamical problems in solid mechanics
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] L. Ambrosio and A. Braides, Homogenization and Applications to Material Sciences (Nice, 1995), GAKUTO Internat. Ser. Math. Sci. Appl. 9 (Gakkōtosho, 1995) pp. 1–22.
[2] DOI: 10.1002/cpa.3160430805 · Zbl 0722.49020 · doi:10.1002/cpa.3160430805
[3] Bourdin B., Interfaces Free Boundaries 9 pp 411–
[4] DOI: 10.1016/S0022-5096(99)00028-9 · Zbl 0995.74057 · doi:10.1016/S0022-5096(99)00028-9
[5] DOI: 10.1007/978-3-642-51440-1 · doi:10.1007/978-3-642-51440-1
[6] DOI: 10.1007/s00205-004-0351-4 · Zbl 1064.74150 · doi:10.1007/s00205-004-0351-4
[7] Dal Maso G., Arch. Rational Mech. Anal. 162 pp 89–
[8] Dunford N., Linear Operators. Part I (1988)
[9] DOI: 10.1002/cpa.3039 · Zbl 1068.74056 · doi:10.1002/cpa.3039
[10] DOI: 10.1016/S0022-5096(98)00034-9 · Zbl 0966.74060 · doi:10.1016/S0022-5096(98)00034-9
[11] DOI: 10.1007/s00526-004-0269-6 · Zbl 1068.35189 · doi:10.1007/s00526-004-0269-6
[12] DOI: 10.1098/rsta.1921.0006 · doi:10.1098/rsta.1921.0006
[13] Hakim V., J. Mech. Phys. Solids
[14] DOI: 10.1017/CBO9780511623127 · doi:10.1017/CBO9780511623127
[15] Thomée V., Springer Series in Computational Mathematics 25, in: Galerkin Finite Element Methods for Parabolic Problems (2006)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.