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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2017, Volume 21, Number 2, Pages 308–325
(Mi vsgtu1542)
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This article is cited in 1 scientific paper (total in 1 paper)
Mechanics of Solids
On the method of orthogonal projections in the theory of elasticity
V. V. Struzhanov Institute of Engineering Science, Urals Branch, Russian Academy of Sciences, Ekaterinburg, 620049, Russian Federation
Abstract:
The method of orthogonal projections applied to the task of determining the stresses in the elastic deformable bodies, which allowed us to relax the requirements to the smoothness of the functions defining external forces and to the components of the tensor of the initial strains, which cause the appearance of balanced self-stresses. Examples of the calculation of quench stresses in a circular cylinder and residual stresses after shrinkage of the binder in composite cylinders made by winding are given.
Keywords:
energy Hilbert subspaces, orthogonal spaces, orthonormal system, orthoprojector, residual stresses
DOI:
https://doi.org/10.14498/vsgtu1542
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Bibliographic databases:
UDC:
539.3
MSC: 74B10 Received: April 12, 2017 Revised: June 9, 2017 Accepted: June 12, 2017 First online: July 10, 2017
Citation:
V. V. Struzhanov, “On the method of orthogonal projections in the theory of elasticity”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:2 (2017), 308–325
Citation in format AMSBIB
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\paper On the method of orthogonal projections in the theory of elasticity
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2017
\vol 21
\issue 2
\pages 308--325
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\crossref{https://doi.org/10.14498/vsgtu1542}
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This publication is cited in the following articles:
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V. V. Struzhanov, “On one inverse problem in the theory of eigenstresses”, Mechanics, Resource and Diagnostics of Materials and Structures (Mrdms-2019), AIP Conf. Proc., 2176, ed. E. Gorkunov, V. Panin, S. Ramasubbu, Amer. Inst. Phys., 2019, 040015
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