A note on crack propagation paths inside elastic bodies Full article
| Journal |
Applied Mathematics Letters
ISSN: 0893-9659 |
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| Output data | Year: 2018, Volume: 79, Pages: 80-84 Pages count : 5 DOI: 10.1016/j.aml.2017.11.023 | ||||
| Tags | Crack propagation path; Energy release rate; Griffith energy criterion; Variational inequality | ||||
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Abstract:
The note is concerned with a model of linear elastostatics for a two-dimensional inhomogeneous anisotropic body weakened by a single straight crack. On the crack faces, nonpenetration conditions/Signorini conditions are imposed. Relying upon a higher regularity result in Besov spaces for the displacement field in a neighborhood of the crack tip, we prove that the energy release rate is actually independent of the choice of a subsequent crack path (among the possible continuations of class H3).
Cite:
Khludnev A.M.
, Shcherbakov V.V.
A note on crack propagation paths inside elastic bodies
Applied Mathematics Letters. 2018. V.79. P.80-84. DOI: 10.1016/j.aml.2017.11.023 WOS Scopus РИНЦ OpenAlex
A note on crack propagation paths inside elastic bodies
Applied Mathematics Letters. 2018. V.79. P.80-84. DOI: 10.1016/j.aml.2017.11.023 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Oct 17, 2017 |
| Accepted: | Nov 27, 2017 |
| Published online: | Dec 6, 2017 |
| Published print: | May 1, 2018 |
Identifiers:
| Web of science: | WOS:000424179500012 |
| Scopus: | 2-s2.0-85038861616 |
| Elibrary: | 35523945 |
| OpenAlex: | W2774104404 |