engleski

Shear locking phenomenon in plate finite elements

Shear locking is a widely known phenomenon in finite element analysis which occurs when first order finite elements with linear interpolations are used in solving problems where deformations due to bending are dominant, like in slender structures/structural elements. In such cases, first order finite elements exhibit large shear stiffness due to the inability to capture real kinematics of the problem. It has been found that linked interpolation in beam finite elements based on Timoshenko’s assumptions eliminate shear locking problem completely and that it is capable of returning exact results. In the light of that, such concept has been applied to Mindlin plate and shell elements as well. However, that didn’t exactly lead to elimination of shear locking problem in those types of elements so different improvements were made in order to minimize shear locking, some of which proved to be quite effective. A few three node plate finite elements, with an emphasis on those based on linked interpolation, will be presented and tested on a set of standard thin and thick plate problems in order to determine the influence of the locking effect.

shear locking ; linked interpolation ; Mindlin plate theory ; plate finite element ; finite element method

nije evidentirano