Vibration analysis of cracked plates using the extended finite element method

DOI10.1007/s00419-008-0224-7zbMath1168.74359OpenAlexW2079856321MaRDI QIDQ835417

R. Tiberkak, Said Rechak, Mourad Bachene

Publication date: 28 August 2009

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-008-0224-7

zbMATH Keywords

vibration analysisX-FEMcracked plate

Mathematics Subject Classification ID

Brittle fracture (74R10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05)

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Cites Work

• Unnamed Item
• Natural vibrations of rectangular plates with a through crack
• The partition of unity finite element method: basic theory and applications
• Modeling fracture in Mindlin-Reissner plates with the extended finite element method
• Vibration and stability of cracked rectangular plates
• Arbitrary discontinuities in finite elements
• Prediction of natural frequencies of vibration of rectangular plates with rectangular cutouts
• Influence Of A Crack On The Dynamic Stability Of A Column
• Elastic crack growth in finite elements with minimal remeshing
• Vibration of cracked rectangular plates including transverse shear deformation and rotary inertia
• A finite element method for crack growth without remeshing