 |
|
|
|
|
|
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   Full text:
PDF file (698 kB)
(published under the terms of the Creative Commons Attribution 4.0 International License) References:
PDF file
HTML file
Bibliographic databases:    Document Type: Article UDC: 539.3 MSC: 74B10 Received: Revised: Accepted: First online: 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), 
Citation in format AMSBIB
\Bibitem{Str17}Linking options:
Citing articles on Google Scholar: Russian citations, English citations Related articles on Google Scholar: Russian articles, English articles |
|
||||||||||||||||||
|
|
Contact us: |
 Terms of Use
|
Registration |
Logotypes |
|