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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2014, Issue 1(34), Pages 109–124 (Mi vsgtu1297)  

This article is cited in 1 scientific paper (total in 1 paper)

Mechanics of Solids

Stress Field Near the Mixed Mode Crack Tip under Plane Stress Conditions

L. V. Stepanova, E. M. Adylina

Samara State University, Samara, 443011, Russian Federation

Abstract: The asymptotical solution to the problem of the mixed loading of the cracked specimen under plane stress conditions in materials with fractional-linear constitutive relations of steady -state creep is given. The stresses and creep strain rates in the vicinity of the mixed mode crack tip are obtained. The type of mixed loading is specified by the mixity parameter which is varying from 0 (this type of loading corresponds to pure shear) to 1 (the loading corresponds to tensile loading). The analytical presentation of the stress and the creep strain rate fields is found for all values of the mixity parameter. It is shown that the stress field consists of different regions inside which the stress components are determined by different formulae. The boundaries of the regions are found numerically. The comparison of the analytical solution with the numeric solution obtained for the power-law material for large values of the exponent $n$ is given.

Keywords: mixed mode (mode I + mode II) loading, asymptotical analysis, the near crack-tip stress field, analytical solution, analytical presentation of the stress field near the crack tip

Funding Agency Grant Number
Russian Foundation for Basic Research 13-01-97009
This work is supported by RFBR, project no. 13–01–97009–p.

Author to whom correspondence should be addressed

DOI: https://doi.org/10.14498/vsgtu1297

Full text: PDF file (1115 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

UDC: 539.376
MSC: Primary 74R20; Secondary 74G70, 74C05
Original article submitted 11/XII/2013
revision submitted – 17/II/2014

Citation: L. V. Stepanova, E. M. Adylina, “Stress Field Near the Mixed Mode Crack Tip under Plane Stress Conditions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(34) (2014), 109–124

Citation in format AMSBIB
\Bibitem{SteAdy14}
\by L.~V.~Stepanova, E.~M.~Adylina
\paper Stress Field Near the Mixed Mode Crack Tip under Plane Stress Conditions
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2014
\vol 1(34)
\pages 109--124
\mathnet{http://mi.mathnet.ru/vsgtu1297}
\crossref{https://doi.org/10.14498/vsgtu1297}
\zmath{https://zbmath.org/?q=an:06968829}
\elib{http://elibrary.ru/item.asp?id=22813964}


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    This publication is cited in the following articles:
    1. A. A. Peksheva, L. V. Stepanova, “Nelineinye zadachi na sobstvennye znacheniya, sleduyuschie iz problem nelineinoi mekhaniki razrusheniya”, XXVIII Mezhdunarodnaya innovatsionno-orientirovannaya konferentsiya molodykh uchenykh i studentov (MIKMUS - 2016), sbornik trudov konferentsii, Institut mashinovedeniya im. A. A. Blagonravova Rossiiskoi akademii nauk, Moskva, 2017, 72–74 pp.  elib
  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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