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On one contact problem of plane elasticity theory with partially unknown boundary
Author(s) -
Tsintsadze Magda,
Odishelidze Nana
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510108
Subject(s) - isosceles triangle , elasticity (physics) , boundary value problem , boundary (topology) , plane (geometry) , mathematical analysis , domain (mathematical analysis) , mathematics , structural engineering , geometry , engineering , materials science , composite material
Applications of elastic plates weakened with full‐strength holes are of great interest in several mechanical constructions (building practice, in mechanical engineering, shipbuilding, aircraft construction, etc). It's proven that in case of infinite domains the minimum of tangential normal stresses (tangential normal moments) maximal values will be obtained on such contours, where these values maintain constant(the full strength holes). The solvability of these problems allow to control stress optimal distribution at the hole boundary via appropriate hole shape selection. The paper addresses a problem of plane elasticity theory for a doubly connected domain S on the plane z = x + iy , which external boundary is an isosceles trapezoid boundary; the internal boundary is required full‐strength hole including the origin of coordinates. In the provided work the unknown full‐strength contour and stressed state of the body were determined. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)