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Linear buckling
analysis of cracked plates by SFEM and XFEM
Pedro M. Baiz, Sundararajan Natarajan, Stéphane P. A. Bordas, Pierre Kerfriden and Timon Rabczuk |
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Vol. 6 (2011), No. 9-10, 1213–1238
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Abstract |
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In this paper, the linear buckling problem for isotropic plates is studied using a quadrilateral element with smoothed curvatures and the extended finite element method. First, the curvature at each point is obtained by a nonlocal approximation via a smoothing function. This element is later coupled with partition of unity enrichment to simplify the simulation of cracks. The proposed formulation suppresses locking and yields elements which behave very well, even in the thin plate limit. The buckling coefficient and mode shapes of square and rectangular plates are computed as functions of crack length, crack location, and plate thickness. The effects of different boundary conditions are also studied. |
Keywords
Mindlin, Reissner, shear deformable plate theory, buckling,
partition of unity methods (PUM), extended finite element
method (XFEM), fracture
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Milestones
Received: 28 April 2010
Revised: 28 September 2010
Accepted: 30 November 2010
Published: 15 January 2012
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Authors |
| Pedro M. Baiz | |
| Department of Aeronautics Imperial College London Prince Consort Road London SW7 2AZ United Kingdom |
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| Sundararajan Natarajan | |
| School of Engineering Cardiff University Cardiff CF24 3AA United Kingdom |
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| Stéphane P. A. Bordas | |
| School of Engineering Cardiff University Cardiff CF24 3AA United Kingdom |
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| Pierre Kerfriden | |
| School of Engineering Cardiff University Cardiff CF24 3AA United Kingdom |
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| Timon Rabczuk | |
| Department of Civil
Engineering Bauhaus-Universität Weimar 99421 Weimar Germany |
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