Email this article Invariant operators and separation of residual stresses
- Authors: Gordienko V.M.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 11, No 4 (2017)
- Pages: 521-526
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/212878
- DOI: https://doi.org/10.1134/S1990478917040093
- ID: 212878
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Abstract
We consider the equations of linear theory of elasticity in stresses for the threedimensional space. Solutions are decomposed into sums of stationary solutions not satisfying the compatibility condition (residual stresses) and nonstationary solutions satisfying the compatibility condition and hence represented through the displacements. The construction of this decomposition is reduced to solving a series of Poisson equations.
About the authors
V. M. Gordienko
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: gordienk@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
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