| Linear buckling analysis of cracked plates by SFEM and XFEM |
| English |
| Baiz, P. M. [Department of Aeronautics, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom] |
| Natarajan, S. [School of Engineering, Cardiff University, Cardiff CF24 3AA, United Kingdom] |
| Bordas, Stéphane  [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >] |
| Kerfriden, P. [School of Engineering, Cardiff University, Cardiff CF24 3AA, United Kingdom] |
| Rabczuk, T. [Department of Civil Engineering, Bauhaus-Universität Weimar, 99421 Weimar, Germany] |
| 2011 |
| Journal of Mechanics of Material and Structures |
| 6 |
| 9-10 |
| 1213-1238 |
| Yes |
| International |
| 1559-3959 |
| [en] Buckling ; Extended finite element method (XFEM) ; Fracture ; Mindlin ; Partition of unity methods (PUM) ; Reissner ; Shear deformable plate theory ; Extended finite element method ; Partition of unity methods ; Shear deformable plate ; Crack propagation ; Cracks ; Functions |
| [en] 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. © 2011 by Mathematical Sciences Publishers. |
| Researchers ; Professionals ; Students |
| http://hdl.handle.net/10993/12089 |
| 10.2140/jomms.2011.6.1213 |
