New Finite Elements for Stress Analysis around Crack in Axi-symmetric Structure
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New finite elements, one 2 dimensional polar element and two 3 dimensional polar elements, are developed for the purpose of stress analysis around the crack in an axi-symmetric structure. It is shown that the conventional constant stress and strain element brings about the loss of accuracy when applied to the crack in an axi-symmetric structure, because the nodal force vector deviates from the radial direction and that the ring element cannot be applied either because it cannot accomodate the circumferential displacement introduced by the crack owing to its original form of shape function. Numerical examples of rotating bodies and of internally pressurized cylinders are analyzed and the high accuracy of these newly developed finite elements in evaluating stress intensity factors is confirmed.
- Transactions of JWRI
Transactions of JWRI 6(1), 55-62, 1977-06