Linear buckling analysis of cracked plates by SFEM and XFEM

Baiz, P., Natarajan, Sundararajan ORCID: https://orcid.org/0000-0002-0409-0096, Bordas, Stephane Pierre Alain ORCID: https://orcid.org/0000-0001-8634-7002, Kerfriden, Pierre ORCID: https://orcid.org/0000-0002-7749-3996 and Rabczuk, T. 2011. Linear buckling analysis of cracked plates by SFEM and XFEM. Journal of Mechanics of Materials and Structures 6 (9-10) , pp. 1213-1238. 10.2140/jomms.2011.6.1213

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Abstract

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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords:	Mindlin ; Reissner ; shear deformable plate theory ; buckling ; partition of unity methods (PUM) ; extended finite element method (XFEM) ; fracture
Publisher:	Mathematical Sciences Publishers
ISSN:	1559-3959
Last Modified:	11 Mar 2023 02:11
URI:	https://orca.cardiff.ac.uk/id/eprint/20115

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