| | Mechanics of Solids A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544 Online ISSN 1934-7936 |
Archive of Issues
Total articles in the database: | | 12854 |
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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In English (Mech. Solids): | | 4810 |
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<< Previous article | Volume 53, Issue 6 / 2018 | Next article >> |
B.A. Zhukov, "Asymptotic Analysis of the Plane Strain State Generated by a Finite Longitudinal Shear Crack," Mech. Solids. 53 (6), 698-706 (2018) |
Year |
2018 |
Volume |
53 |
Number |
6 |
Pages |
698-706 |
DOI |
10.3103/S0025654418060110 |
Title |
Asymptotic Analysis of the Plane Strain State Generated by a Finite Longitudinal Shear Crack |
Author(s) |
B.A. Zhukov (Volgograd State Technical University, pr. Lenina 28, Volgograd, 400131 Russia; Volgograd State SocioPedagogical University, pr. im. V.I. Lenina 27, Volgograd, 400066 Russia, zhukov.b.a@gmail.com) |
Abstract |
In the linear theory of elasticity, an arbitrary crack is represented as a combination of three: longitudinal shear cracks, transverse shear cracks, and normal tear cracks that do not interact with each other. In the nonlinear theory, for some types of strain energy potentials, a finite longitudinal shear crack necessarily generates a strain in the transverse plane. This article proposes an asymptotic description of the deformed state of a crack in the transverse plane under the action of a finite longitudinal shear in an incompressible material with a Mooney-Rivlin potential, and an assessment is made of the effect of additional deformation on the condition of the start of a crack. |
Keywords |
final deformations, hyperelasticity, incompressibility, longitudinal shift |
References |
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[Mech. Sol. (Engl. Transl.)
50 (3), 337-344 (2015)]. |
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7. | M. Mooney,
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11. | B.A. Zhukov,
"A Modification of the Signorini Method for Plane Strains in an Incompressible Material,"
Izv. Akad. Nauk. Mekh. Tv. Tela,
No. 4, 59-67 (2001)
[Mech. Sol. (Engl. Transl.)
36 (4), 47-53 (2001)]. |
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|
Received |
24 March 2016 |
Link to Fulltext |
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