eXtended finite element methods for thin cracked plates with Kirchhoff-Love theory

DOI10.1002/nme.2939zbMath1202.74176OpenAlexW2097238564MaRDI QIDQ3062614

Jérémie Lasry, Michel Salaün, Julien Pommier, Yves Renard

Publication date: 28 December 2010

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: http://oatao.univ-toulouse.fr/8885/1/Salaun_8885.pdf

zbMATH Keywords

fracturerate of convergencestructuresplatesextended finite element methodKirchhoff-Love

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (7)

Numerical analysis of a main crack interactions with micro-defects/inhomogeneities using two-scale generalized/extended finite element method ⋮ Convergence analysis of linear or quadratic X-FEM for curved free boundaries ⋮ Application of PHT-splines in bending and vibration analysis of cracked Kirchhoff -- Love plates ⋮ A partition of unity method with penalty for fourth order problems ⋮ Adaptive extended isogeometric analysis based on PHT-splines for thin cracked plates and shells with Kirchhoff-Love theory ⋮ Geometrically nonlinear analysis of thin-shell structures based on an isogeometric-meshfree coupling approach ⋮ Analysis of cracked plate using higher-order shear deformation theory: asymptotic crack-tip fields and XIGA implementation

Uses Software

• XFEM
• Getfem++

Cites Work

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• Analysis of fracture in thin shells by overlapping paired elements
• Modeling fracture in Mindlin-Reissner plates with the extended finite element method
• Analysis of three-dimensional crack initiation and propagation using the extended finite element method
• Improved implementation and robustness study of the X-FEM for stress analysis around cracks
• Non-planar 3D crack growth by the extended finite element and level sets-Part I: Mechanical model
• A Mortar Finite Element Method for Fourth Order Problems in Two Dimensions with Lagrange Multipliers
• Partition of unity enrichment for bimaterial interface cracks
• XFEM for direct evaluation of mixed mode SIFs in homogeneous and bi-materials
• A finite element method for crack growth without remeshing
• High-order extended finite element method for cracked domains

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