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Compact finite elements based on modified equations of the plate theory. / Annin, B. D.; Volchkov, Y. M.

In: Mathematical Notes of NEFU, Vol. 27, No. 1, 01.01.2020, p. 6-20.

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

Harvard

Annin, BD & Volchkov, YM 2020, 'Compact finite elements based on modified equations of the plate theory', Mathematical Notes of NEFU, vol. 27, no. 1, pp. 6-20. https://doi.org/10.25587/SVFU.2020.29.95.001

APA

Annin, B. D., & Volchkov, Y. M. (2020). Compact finite elements based on modified equations of the plate theory. Mathematical Notes of NEFU, 27(1), 6-20. https://doi.org/10.25587/SVFU.2020.29.95.001

Vancouver

Annin BD, Volchkov YM. Compact finite elements based on modified equations of the plate theory. Mathematical Notes of NEFU. 2020 Jan 1;27(1):6-20. doi: 10.25587/SVFU.2020.29.95.001

Author

Annin, B. D. ; Volchkov, Y. M. / Compact finite elements based on modified equations of the plate theory. In: Mathematical Notes of NEFU. 2020 ; Vol. 27, No. 1. pp. 6-20.

BibTeX

@article{737c356db44b48b4b9ad9ea023684dcb,
title = "Compact finite elements based on modified equations of the plate theory",
abstract = "The modified equations of the elastic layer are used to construct compact finite elements, the conjugation conditions between which are formulated as conditions for the continuity of efforts and moments on their faces. The proposed finite elements can be effectively used in the numerical solution of problems of the stress-strain state of layered structures and deformed bodies containing cuts and cracks, since compact elements are natural regularizers in problems containing singularities in a stressed state. The paper compares the results of a numerical and analytical solutions to the problem of determining the stress-strain state in the vicinity of the crack tip located in the elastic plane. The numerical solution to the problem is obtained using the iterative procedure of self-balanced residuals.",
keywords = "Compact finite elements, Crack, Modified equations of the elastic layer",
author = "Annin, {B. D.} and Volchkov, {Y. M.}",
year = "2020",
month = jan,
day = "1",
doi = "10.25587/SVFU.2020.29.95.001",
language = "English",
volume = "27",
pages = "6--20",
journal = "Математические заметки СВФУ",
issn = "2411-9326",
publisher = "M. K. Ammosov North-Eastern Federal University",
number = "1",

}

RIS

TY - JOUR

T1 - Compact finite elements based on modified equations of the plate theory

AU - Annin, B. D.

AU - Volchkov, Y. M.

PY - 2020/1/1

Y1 - 2020/1/1

N2 - The modified equations of the elastic layer are used to construct compact finite elements, the conjugation conditions between which are formulated as conditions for the continuity of efforts and moments on their faces. The proposed finite elements can be effectively used in the numerical solution of problems of the stress-strain state of layered structures and deformed bodies containing cuts and cracks, since compact elements are natural regularizers in problems containing singularities in a stressed state. The paper compares the results of a numerical and analytical solutions to the problem of determining the stress-strain state in the vicinity of the crack tip located in the elastic plane. The numerical solution to the problem is obtained using the iterative procedure of self-balanced residuals.

AB - The modified equations of the elastic layer are used to construct compact finite elements, the conjugation conditions between which are formulated as conditions for the continuity of efforts and moments on their faces. The proposed finite elements can be effectively used in the numerical solution of problems of the stress-strain state of layered structures and deformed bodies containing cuts and cracks, since compact elements are natural regularizers in problems containing singularities in a stressed state. The paper compares the results of a numerical and analytical solutions to the problem of determining the stress-strain state in the vicinity of the crack tip located in the elastic plane. The numerical solution to the problem is obtained using the iterative procedure of self-balanced residuals.

KW - Compact finite elements

KW - Crack

KW - Modified equations of the elastic layer

UR - http://www.scopus.com/inward/record.url?scp=85084493493&partnerID=8YFLogxK

U2 - 10.25587/SVFU.2020.29.95.001

DO - 10.25587/SVFU.2020.29.95.001

M3 - Article

AN - SCOPUS:85084493493

VL - 27

SP - 6

EP - 20

JO - Математические заметки СВФУ

JF - Математические заметки СВФУ

SN - 2411-9326

IS - 1

ER -

ID: 24261837