VI. International Scientific and Vocational Studies Congress – Engineering (BILMES EN 2021), Tokat, Türkiye, 23 - 26 Kasım 2021, ss.8
Abstract
In this study, the bending behavior of isotropic cantilever square beams is investigated by
using Carrera Unified Formulation (CUF) formulation, different beam theories, and different
numerical integration techniques. CUF theory is a class theory of structures formulated with
the finite element method. This theory provides one-dimensional (beam) and two-dimensional
(plate and shell) theories that go beyond classical theory (Euler, Kirchhoff, Reissner, Mindlin,
Love) and uses dense notation and expresses displacement fields. It also denotes areas of
displacement on the section and along the thickness in terms of base functions of arbitrary
form and order. With this dense notation, all finite element matrices and vectors are included
in the elementary kernel. Thus, both the solution time is shortened and the problem can be
solved with fewer degrees of freedom. In the results of this study, the stress components of the
beam under the bending load are shown for different beam theories and beam elements, and
accurate and time-efficient results are obtained with the CUF formulation.
Keywords: Carrera Birleşik Formülasyonu, Kiriş teorileri, FEM, CUF.