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Invariant operators and separation of residual stresses. / Gordienko, V. M.

In: Journal of Applied and Industrial Mathematics, Vol. 11, No. 4, 01.10.2017, p. 521-526.

Research output: Contribution to journal › Article › peer-review

Harvard

Gordienko, VM 2017, 'Invariant operators and separation of residual stresses', Journal of Applied and Industrial Mathematics, vol. 11, no. 4, pp. 521-526. https://doi.org/10.1134/S1990478917040093

APA

Gordienko, V. M. (2017). Invariant operators and separation of residual stresses. Journal of Applied and Industrial Mathematics, 11(4), 521-526. https://doi.org/10.1134/S1990478917040093

Vancouver

Gordienko VM. Invariant operators and separation of residual stresses. Journal of Applied and Industrial Mathematics. 2017 Oct 1;11(4):521-526. doi: 10.1134/S1990478917040093

Author

Gordienko, V. M. / Invariant operators and separation of residual stresses. In: Journal of Applied and Industrial Mathematics. 2017 ; Vol. 11, No. 4. pp. 521-526.

BibTeX

@article{fe1405109953470ab52038332cc9d1c9,
title = "Invariant operators and separation of residual stresses",
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.",
keywords = "deviator, elasticity theory, residual stresses, Saint-Venant compatibility conditions, strain tensor, stress tensor",
author = "Gordienko, {V. M.}",
year = "2017",
month = oct,
day = "1",
doi = "10.1134/S1990478917040093",
language = "English",
volume = "11",
pages = "521--526",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - Invariant operators and separation of residual stresses

AU - Gordienko, V. M.

PY - 2017/10/1

Y1 - 2017/10/1

N2 - 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.

AB - 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.

KW - deviator

KW - elasticity theory

KW - residual stresses

KW - Saint-Venant compatibility conditions

KW - strain tensor

KW - stress tensor

UR - http://www.scopus.com/inward/record.url?scp=85036455501&partnerID=8YFLogxK

U2 - 10.1134/S1990478917040093

DO - 10.1134/S1990478917040093

M3 - Article

AN - SCOPUS:85036455501

VL - 11

SP - 521

EP - 526

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 4

ER -

ID: 12949224