Close Search Advanced
Journals
Resources
About Us
Open Access

FEA Versus IGA in a Two-Node Beam Element Based on Unified and Integrated Method

FEA Versus IGA in a Two-Node Beam Element Based on Unified and Integrated Method
Preview
Add to basket

Year:    2020

Author:    Andi Makarim Katili, Irwan Katili

Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 6 : pp. 1565–1586

Abstract

This paper presents a new concept called Unified and Integrated Method for a shear deformable beam element. In this method, Timoshenko beam theory is unified and integrated in such a way that takes into account the effect of transverse shear and maintains the shear locking free condition at the same time to generate proper behavior in the analysis of thin to thick beams. The unified and integrated method is applied to finite element analysis (FEA) and isogeometric analysis (IGA) on two-node beam element. This method will be used to analyze uniformly loaded beams with various boundary conditions. A shear influence factor of $\phi$, which is a function of beam thickness ratio $(L/h)$, is expressed explicitly as control of the transverse shear strain effect. The analysis gives interesting results showing that applying the unified and integrated method in FEA and IGA will yield exact values of DOF's and displacement function even when using only a single element. Numerical examples demonstrate the validity and efficiency of the unified and integrated methods.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.OA-2018-0255

Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 6 : pp. 1565–1586

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords:    Finite element analysis isogeometric analysis unified and integrated method timoshenko beam theory.

Author Details

Andi Makarim Katili

Irwan Katili

  1. Deformation decomposition method of discrete element for irregular structures

    Liang, Kaixuan

    Sun, Panxu

    Wang, Dongwei

    Mechanics of Advanced Materials and Structures, Vol. 31 (2024), Iss. 28 P.10046

    https://doi.org/10.1080/15376494.2023.2284255 [Citations: 1]