Imperial College London
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Pedro M. Baiz V.

Faculty of Engineering, Department of Computing

Honorary Senior Research Fellow
 
 
 
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Contact

 

+44 (0)7916 253 021p.m.baiz

 
 
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Location

 

ACE ExtensionSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Toolabi:2018:10.1002/nme.5822,
author = {Toolabi, M and Fallah, AS and Louca, L},
doi = {10.1002/nme.5822},
journal = {International Journal for Numerical Methods in Engineering},
pages = {714--737},
title = {Enhanced mixed interpolation XFEM formulations for discontinuousTimoshenko beam and Mindlin-Reissner plate},
url = {http://dx.doi.org/10.1002/nme.5822},
volume = {115},
year = {2018}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Shear locking is a major issue emerging in the computational formulation of beam and plate finite elements of minimal number of degrees of freedom as it leads to artificial overstiffening. In this paper, discontinuous Timoshenko beam and MindlinReissner plate elements are developed by adopting the HellingerReissner functional with the displacements and throughthickness shear strains as degrees of freedom. Heterogeneous beams and plates with weak discontinuity are considered, and the mixed formulation has been combined with the extended finite element method (FEM); thus, mixed enrichment functions are used. Both the displacement and the shear strain fields are enriched as opposed to the traditional extended FEM where only the displacement functions are enriched. The enrichment type is restricted to extrinsic meshbased topological local enrichment. The results from the proposed formulation correlate well with analytical solution in the case of the beam and in the case of the MindlinReissner plate with those of a finite element package (ABAQUS) and classical FEM and show higher rates of convergence. In all cases, the proposed method captures strain discontinuity accurately. Thus, the proposed method provides an accurate and a computationally more efficient way for the formulation of beam and plate finite elements of minimal number of degrees of freedom.
AU  - Toolabi,M
AU  - Fallah,AS
AU  - Louca,L
DO  - 10.1002/nme.5822
EP  - 737
PY  - 2018///
SN  - 0029-5981
SP  - 714
TI  - Enhanced mixed interpolation XFEM formulations for discontinuousTimoshenko beam and Mindlin-Reissner plate
T2  - International Journal for Numerical Methods in Engineering
UR  - http://dx.doi.org/10.1002/nme.5822
UR  - http://hdl.handle.net/10044/1/63873
VL  - 115
ER  -
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