A note on crack propagation paths inside elastic bodies

Standard

A note on crack propagation paths inside elastic bodies. / Khludnev, A. M.; Shcherbakov, V. V.

In: Applied Mathematics Letters, Vol. 79, 01.05.2018, p. 80-84.

Research output: Contribution to journal › Article › peer-review

Harvard

Khludnev, AM & Shcherbakov, VV 2018, 'A note on crack propagation paths inside elastic bodies', Applied Mathematics Letters, vol. 79, pp. 80-84. https://doi.org/10.1016/j.aml.2017.11.023

APA

Khludnev, A. M., & Shcherbakov, V. V. (2018). A note on crack propagation paths inside elastic bodies. Applied Mathematics Letters, 79, 80-84. https://doi.org/10.1016/j.aml.2017.11.023

Vancouver

Khludnev AM, Shcherbakov VV. A note on crack propagation paths inside elastic bodies. Applied Mathematics Letters. 2018 May 1;79:80-84. doi: 10.1016/j.aml.2017.11.023

Author

Khludnev, A. M. ; Shcherbakov, V. V. / A note on crack propagation paths inside elastic bodies. In: Applied Mathematics Letters. 2018 ; Vol. 79. pp. 80-84.

BibTeX

@article{cc85fff0c42042e7bfdb725ecc983afa,

title = "A note on crack propagation paths inside elastic bodies",

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).",

keywords = "Crack propagation path, Energy release rate, Griffith energy criterion, Variational inequality, CONTACT, CURVILINEAR CRACKS, SHAPE SENSITIVITY",

author = "Khludnev, {A. M.} and Shcherbakov, {V. V.}",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Ltd",

year = "2018",

month = may,

day = "1",

doi = "10.1016/j.aml.2017.11.023",

language = "English",

volume = "79",

pages = "80--84",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Ltd",

}

RIS

TY - JOUR

T1 - A note on crack propagation paths inside elastic bodies

AU - Khludnev, A. M.

AU - Shcherbakov, V. V.

PY - 2018/5/1

Y1 - 2018/5/1

N2 - 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).

AB - 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).

KW - Crack propagation path

KW - Energy release rate

KW - Griffith energy criterion

KW - Variational inequality

KW - CONTACT

KW - CURVILINEAR CRACKS

KW - SHAPE SENSITIVITY

UR - http://www.scopus.com/inward/record.url?scp=85038861616&partnerID=8YFLogxK

U2 - 10.1016/j.aml.2017.11.023

DO - 10.1016/j.aml.2017.11.023

M3 - Article

AN - SCOPUS:85038861616

VL - 79

SP - 80

EP - 84

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

SN - 0893-9659

ER -

ID: 13092336