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Vol.29, No.2, pp.203-221

DOI: http://dx.doi.org/10.12989/sem.2008.29.2.203


Geometry-dependent MITC method for a 2-node iso-beam element

Phill-Seung Lee, Hyuk-Chun Noh and Chang-Koon Choi

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Abstract
In this paper, we present an idea of the geometry-dependent MITC method. The simple concept is exemplified to improve a 2-node iso-beam (isoparametric beam) finite element of varying
section. We first study the behavior of a standard 2-node iso-beam finite element of prismatic section, which has been widely used with reduced integration (or the equivalent MITC method) in order to avoid
shear locking. Based on analytical studies on cantilever beams of varying section, we propose the axial strain correction (ASC) scheme and the geometry-dependent tying (GDT) scheme for the 2-node iso-beam
element. We numerically analyze varying section beam problems and present the improved performance by using both ASC and GDT schemes.
Keywords
finite elements; iso-beam; MITC method; tying point.
Address
Phill-Seung Lee: Samsung Heavy Industries, Seocho, Seoul 137-857, Korea
Hyuk-Chun Noh: Civil and Environmental Engineering, Sejong University, Gwangjin, Seoul 143-747, Korea
Chang-Koon Choi: Civil and Environmental Engineering, Korea Advanced Institute of Science & Technology,Yuseong, Daejeon 305-701, Korea