A Shear flexible facet shell element for large deflection and instability analysis

Download

010573.pdf

Date

1991-12-01

Author

Oral, Süha

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

204
views

195
downloads

A facet shell element based on an anisoparametric plate bending element and a quadratic plane-stress element with vertex rotations is formulated for geometrically nonlinear analysis of shells. The updated Lagrangian formulation which proves to be effective for three-node elements is employed. The restriction of small rotation between the increments is removed by using Hsiao's finite rotation method in which the rigid body motion is eliminated from the total displacement. The displacement control is used to alleviate the singularity of the tangential stiffness matrix in the limit point type problems. Numerical solutions are presented for beams, plates and shells to evaluate the performance of the element.

Subject Keywords

Mechanical Engineering, General Physics and Astronomy, Mechanics of Materials, Computational Mechanics, Computer Science Applications

URI

https://hdl.handle.net/11511/63250

Journal

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

DOI

https://doi.org/10.1016/0045-7825(91)90251-z

Collections

Department of Mechanical Engineering, Article

Suggestions

OpenMETU
Core

The use of dual reciprocity boundary element method in coupled thermoviscoelasticity Baranoglu, Besim; Mengi, Yalcin (Elsevier BV, 2006-01-01) A boundary element formulation is presented in a unified form for the analysis of thermoviscoelasticity problems. The formulation contains the thermoelastic material as a special case. The boundary-only nature of boundary element method is retained through the use of particular integral method; where the particular solutions are evaluated with the aid of dual reciprocity approximation. The proposed formulation can be used in both coupled and uncoupled thermoviscoelasticity analyses, and it permits performin...
A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows Eroglu, Fatma G.; Kaya Merdan, Songül; Rebholz, Leo G. (Elsevier BV, 2017-10-01) In this paper, we propose, analyze and test a post-processing implementation of a projection-based variational multiscale (VMS) method with proper orthogonal decomposition (POD) for the incompressible Navier-Stokes equations. The projection-based VMS stabilization is added as a separate post-processing step to the standard POD approximation, and since the stabilization step is completely decoupled, the method can easily be incorporated into existing codes, and stabilization parameters can be tuned independe...
The finite element method for MHD flow at high Hartmann numbers Nesliturk, AI; Tezer, Münevver (Elsevier BV, 2005-01-01) A stabilized finite element method using the residual-free bubble functions (RFB) is proposed for solving the governing equations of steady magnetohydrodynamic duct flow. A distinguished feature of the RFB method is the resolving capability of high gradients near the layer rep-ions without refining mesh. We show that the RFB method is stable by proving that the numerical method is coercive even not only at low values but also at moderate and high values of the Hartmann number. Numerical results confirming t...
Two-level finite element method with a stabilizing subgrid for the incompressible Navier-Stokes equations NESLİTÜRK, ALİ İHSAN; Aydın Bayram, Selma; Tezer, Münevver (Wiley, 2008-10-20) We consider the Galerkin finite element method for the incompressible Navier-Stokes equations in two dimensions. The domain is discretized into a set of regular triangular elements and the finite-dimensional spaces emploved consist of piecewise continuous linear interpolants enriched with the residual-free bubble functions. To find the bubble part of the Solution, a two-level finite element method with a stabilizing subgrid of a single node is described, and its application to the Navier-Stokes equation is ...
The DRBEM solution of incompressible MHD flow equations Bozkaya, Nuray; Tezer, Münevver (Wiley, 2011-12-10) This paper presents a dual reciprocity boundary element method (DRBEM) formulation coupled with an implicit backward difference time integration scheme for the solution of the incompressible magnetohydrodynamic (MHD) flow equations. The governing equations are the coupled system of Navier-Stokes equations and Maxwell's equations of electromagnetics through Ohm's law. We are concerned with a stream function-vorticity-magnetic induction-current density formulation of the full MHD equations in 2D. The stream f...

Citation Formats

S. Oral, “A Shear flexible facet shell element for large deflection and instability analysis,” COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, pp. 415–431, 1991, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63250.