Abstract:
A mathematical model for the stress-strain state of a plate with an inclined elliptical defect under biaxial loading is considered. Exact formulas for stresses in polar coordinates, displacements, principal stresses, maximum shear stress, and stress intensity in the case of a plane stress state of the plate were obtained by the Kolosov–Muskhelishvili method. Simulation results are compared with experimental data obtained by holographic interferometry.
Citation:
A. A. Ostsemin, P. B. Utkin, “Stress-strain state of an inclined elliptical defect in a plate under biaxial loading”, Prikl. Mekh. Tekh. Fiz., 53:2 (2012), 115–127; J. Appl. Mech. Tech. Phys., 53:2 (2012), 246–257
\Bibitem{OstUtk12}
\by A.~A.~Ostsemin, P.~B.~Utkin
\paper Stress-strain state of an inclined elliptical defect in a plate under biaxial loading
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2012
\vol 53
\issue 2
\pages 115--127
\mathnet{http://mi.mathnet.ru/pmtf1351}
\elib{https://elibrary.ru/item.asp?id=17651508}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2012
\vol 53
\issue 2
\pages 246--257
\crossref{https://doi.org/10.1134/S0021894412020137}
Linking options:
https://www.mathnet.ru/eng/pmtf1351
https://www.mathnet.ru/eng/pmtf/v53/i2/p115
This publication is cited in the following 2 articles:
L. V. Stepanova, D. A. Semenov, G. S. Anisimov, “Application of holography method for the restoration of the Williams series near the crack tip”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 29:1 (2023), 15–46
Larisa Stepanova, Pavel Roslyakov, “Multi-parameter description of the crack-tip stress field: Analytic determination of coefficients of crack-tip stress expansions in the vicinity of the crack tips of two finite cracks in an infinite plane medium”, International Journal of Solids and Structures, 100-101 (2016), 11