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Compact finite elements based on modified equations of the plate theory. / Annin, B. D.; Volchkov, Y. M.
в: Mathematical Notes of NEFU, Том 27, № 1, 01.01.2020, стр. 6-20.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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