Title: Buckling-driven crack growth in elastic plate devices
Authors : Hocker, Thomas
Niffenegger, M.
Safa, Yasser
Chahine, E.
Conference details: 21. Symposium Simulationstechnik der Arbeitsgemeinschaft Simulation (ASIM), ZHAW, Winterthur, Schweiz, 7.–9. September 2011
Issue Date: 2011
License (according to publishing contract) : Licence according to publishing contract
Type of review: Not specified
Language : English
Subjects : Coating; Delamination; Buckling; XFEM
Subject (DDC) : 530: Physics
Abstract: Buckling of an elastic plate subjected to plane stress compression is modeled in the light of the principle of minimum potential energy and by applying the Rayleigh-Ritz method. Double Fourier series are used to provide displacement field parameterizations involving trigonometric functions. An energy minimization procedure is applied to calculate the unknown coefficients to describe the buckling shape and amplitude. Critical buckling values representing the thresholds  for instability transitions in the system are estimated from the eigenvalues of the Hessian of the potential energy. On another hand, cracks could be sometimes initiated due to buckling. This  occurs, for example, at the clamped boundaries of a plate where delamination is expected as a result of post-buckling stress. Or also, due to imperfections in a material, a buckling-driven  crack can also be initiated in the middle of the surface. Therefore, we perform crack growth  simulation using the eXtended (or enriched) Finite Element Method (XFEM). This approach  allows one to represent accurately the stress singularity at the crack tip and the discontinuity on crack faces and avoid the remeshing along the internal boundary of the crack. Within the  framework of XFEM, the concept of the partition of unity is employed to incorporate special  local enrichment functions into the basis of the standard FEM to take into account the presence of the aforementioned singularity and discontinuity. In this work Rayleigh Ritz Method is implemented in Mathematica 8.0 where XFEM method is already existing in the open source GETFEM package.
Departement: School of Engineering
Organisational Unit: Institute of Computational Physics (ICP)
Publication type: Conference Other
URI: https://digitalcollection.zhaw.ch/handle/11475/1672
Appears in Collections:Publikationen School of Engineering

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