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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 1, Pages 137–146 (Mi pmtf1335)  

Crack nucleation in a strip of varying thickness under force loading

M. V. Mirsalimov

Azerbaijan Technical University, Baku, AZ1129, Azerbaijan
Abstract: A mathematical model of crack nucleation in a strip of varying thickness under force loading is constructed. It is assumed that the loading of the strip by external forces gives rise to prefracture zones, which are modeled as regions of weakened interparticle bonds in the material. Solution of the problem of the equilibrium of an isotropic strip of varying thickness, with a crack nucleus reduces to solving a system of nonlinear singular integral equations with a Cauchy type kernel to determine the forces in the region of crack nucleation. The condition of crack nucleation in a strip of varying thickness is formulated using the criterion of the limiting stretching of material bonds.
Keywords: strip of varying thickness, prefracture zone, interaction between the crack faces, adhesion forces.
Received: 11.04.2011
English version:
Journal of Applied Mechanics and Technical Physics, 2012, Volume 53, Issue 1, Pages 118–126
DOI: https://doi.org/10.1134/S0021894412010154
Bibliographic databases:
Document Type: Article
UDC: 539.375
Language: Russian
Citation: M. V. Mirsalimov, “Crack nucleation in a strip of varying thickness under force loading”, Prikl. Mekh. Tekh. Fiz., 53:1 (2012), 137–146; J. Appl. Mech. Tech. Phys., 53:1 (2012), 118–126
Citation in format AMSBIB
\Bibitem{Mir12}
\by M.~V.~Mirsalimov
\paper Crack nucleation in a strip of varying thickness under force loading
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2012
\vol 53
\issue 1
\pages 137--146
\mathnet{http://mi.mathnet.ru/pmtf1335}
\elib{https://elibrary.ru/item.asp?id=17320589}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2012
\vol 53
\issue 1
\pages 118--126
\crossref{https://doi.org/10.1134/S0021894412010154}
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