Abstract:
The resolving equations for linear orthotropic non-homogeneous elasticity problem, including the deformation compatibility equation, are obtained in cases of bipolar, elliptic, parabolic, hyperbolic and cardioidal coordinate systems for planar constructions extreme deformations detection in the context of planar problem. The type of obtained partial differential equations system for deformations tenser components is examined using the determinantal method.
Citation:
Yu. V. Nemirovsky, N. A. Feodorova, “Reinforcement of Planar Structures along Orthogonal Curvilinear Trajectories”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010), 96–104
\Bibitem{NemFed10}
\by Yu.~V.~Nemirovsky, N.~A.~Feodorova
\paper Reinforcement of Planar Structures along Orthogonal Curvilinear Trajectories
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2010
\vol 5(21)
\pages 96--104
\mathnet{http://mi.mathnet.ru/vsgtu802}
\crossref{https://doi.org/10.14498/vsgtu802}
Linking options:
https://www.mathnet.ru/eng/vsgtu802
https://www.mathnet.ru/eng/vsgtu/v121/p96
This publication is cited in the following 9 articles:
N. Feodorova, “Determination of fiber-structure for the effective reinforcement of planar composite-material constructions”, Materials Science Forum, 945 MSF (2018), 338–343
M. P. Galanin, N. A. Fedorova, “Armirovanie ploskikh konstruktsii po izogonalnym traektoriyam”, Preprinty IPM im. M. V. Keldysha, 2017, 033, 16 pp.
N. A. Fedorova, “Matematicheskoe modelirovanie predelnykh deformatsii ploskikh konstruktsii, armirovannykh vdol krivolineinykh traektorii”, Vestnik Sibirskogo gosudarstvennogo aerokosmicheskogo universiteta im. akademika M. F. Reshetneva, 2014, no. 1 (53), 91–94
N. A. Fedorova, “Upravlenie krivolineinymi strukturami armirovaniya ploskikh konstruktsii”, Izvestiya Altaiskogo gosudarstvennogo universiteta, 2014, no. 1-1 (81), 130–133
Yu. V. Nemirovskii, N. A. Fedorova, “Issledovanie ratsionalnykh struktur krivolineinogo armirovaniya v polyarnoi sisteme koordinat”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(30) (2013), 233–244
N. A. Fedorova, “Matematicheskoe modelirovanie predelnykh deformatsii ploskikh konstruktsii, armirovannykh vdol krivolineinykh traektorii”, Reshetnevskie chteniya, 2:17 (2013), 118–120
Yu. V. Nemirovskii, N. A. Fedorova, “Predelnoe deformirovanie diskov gazovykh i gidroturbin pri razlichnykh strukturakh armirovaniya”, Izvestiya vysshikh uchebnykh zavedenii. Fizika, 56:7-3 (2013), 191–196
Natalya A. Fedorova, “Modelirovanie izogonalno armirovannykh koltsevykh plastin v polyarnoi sisteme koordinat”, Zhurn. SFU. Ser. Matem. i fiz., 4:3 (2011), 400–405
N. A. Fedorova, “Modelirovanie deformirovaniya ploskikh konstruktsii so slozhnymi krivolineinymi strukturami armirovaniya”, Vestnik Sibirskogo gosudarstvennogo aerokosmicheskogo universiteta im. akademika M. F. Reshetneva, 2011, no. 3 (36), 92–98
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