A hybrid stress element for thin-walled beams

2003-04-05
A hybrid stress finite element for linear static analysis of thin-walled beams is presented. The element is based on Vlasov theory. The hybrid stress formulation is particularly suitable in this case where displacement assumption is not necessary and a simple polynomial assumption for independent stress resultants is sufficient to form the element stiffness matrix. The result is a simple and elegant element, which is accurate and cost effective. The formulation is assessed by analyzing a structure having open and closed sections. The results are in perfect agreement with previous solutions.

Suggestions

A Three dimensional mixed formulation nonlinear frame finite element based on hu-washizu functional
Soydaş, Ozan; Sarıtaş, Afşin; Department of Civil Engineering (2013)
A three dimensional nonlinear frame finite element is presented in this analytical study by utilizing Hu-Washizu principle with three fields of displacement, strain and stress in the variational form. Timoshenko beam theory is extended to three dimensions in order to derive strains from the displacement field. The finite element approximation for the beam uses shape functions for section forces that satisfy equilibrium and discontinous section deformations along the beam. Nonlinear analyses are performed by...
A crystal plasticity based finite element framework for RVE calculations of two-phase materials: Void nucleation in dual-phase steels
Yalçınkaya, Tuncay; Çakmak, Serhat Onur (Elsevier BV, 2021-05-01)
A crystal plasticity based finite element (CPFE) framework is developed for performing representative volume element (RVE) calculations on two-phase materials. The present paper investigates the mechanical response and the evolution of microstructure of dual-phase (DP) steels under uniaxial tensile loading, with a special focus on void nucleation. The spatial distribution and morphology of the ferrite and martensite grains in DP steels are explicitly accounted for by generating three-dimensional RVEs with V...
A Novel Numerical Technique for Analyzing Metasurfaces
ÖZGÜN, ÖZLEM; Mittra, Raj; Kuzuoğlu, Mustafa (2019-12-31)
This work presents a novel technique for efficient numerical modeling of electromagnetic scattering from metasurfaces comprising of truncated periodic or locally-varying quasi-periodic surfaces. The proposed technique hybridizes the periodic Finite Element Method (FEM) with the Method of Moments (MoM) to develop an algorithm far more efficient than conventional numerical methods for electromagnetic scattering from arbitrary objects. The key feature of the proposed algorithm is that it takes advantage of the...
A Modular Superconducting Generator for Offshore Wind Turbines
Keysan, Ozan; Mueller, Markus A (2013-05-01)
In this study, a new claw-pole type transverse flux superconducting generator topology is presented. The machine has a stationary superconducting field winding, which eliminates electrical brushes and cryocouplers. The machine is specifically designed for low-speed high torque applications such as large offshore wind turbines. The proposed machine is robust and has a modular structure.
A subgrid stabilization finite element method for incompressible magnetohydrodynamics
Belenli, Mine A.; Kaya Merdan, Songül; Rebholz, Leo G.; Wilson, Nicholas E. (2013-07-01)
This paper studies a numerical scheme for approximating solutions of incompressible magnetohydrodynamic (MHD) equations that uses eddy viscosity stabilization only on the small scales of the fluid flow. This stabilization scheme for MHD equations uses a Galerkin finite element spatial discretization with Scott-Vogelius mixed finite elements and semi-implicit backward Euler temporal discretization. We prove its unconditional stability and prove how the coarse mesh can be chosen so that optimal convergence ca...
Citation Formats
S. Oral, “A hybrid stress element for thin-walled beams,” 2003, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/54449.