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Stress concentrations arising from a slot in a plate under biaxial stress
Author(s) -
Rees D.W.A.
Publication year - 1997
Publication title -
strain
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.477
H-Index - 47
eISSN - 1475-1305
pISSN - 0039-2103
DOI - 10.1111/j.1475-1305.1997.tb01049.x
Subject(s) - superposition principle , stress (linguistics) , materials science , ellipse , perpendicular , stress concentration , plane stress , symmetry (geometry) , structural engineering , radial stress , strain gauge , composite material , mechanics , geometry , deformation (meteorology) , physics , finite element method , mathematics , engineering , mathematical analysis , philosophy , linguistics , fracture mechanics
The stress distributions around a straight blunt slot under biaxial stress are found by adapting the classical solution to the stress concentration around an elliptical hole in an infinite plate under uniaxial stress. Firstly, the slot was converted into an equivalent thin ellipse of large major:minor axis ratio with its major equal to the length of the slot. The principle of superposition was then employed to find the stress state on an axis of symmetry at near and far locations from the notch tip. Stress states were found for any ratio of remotely applied stresses in directions perpendicular and parallel to the notch axis. The solutions were verified experimentally for specific tensile stress ratios by bonding strain gauges to an aluminium plate under hydraulic pressure.