Non‐linear analysis of shells with arbitrary evolving cracks using XFEM

By Pedro Areias, Ted Belytschko. 2005

204 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/a01489a668ef2b8e1a33ccd5b84b72ea9786b364

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In Biomedical Engineering

In Mechanics of Materials

Citations in the corpus

Mesh-independent discrete numerical representations of cohesive-zone models (2006, background): “The extension of the partition-of-unity approach to cohesive fracture has been done by Wells and Sluys [26], see also [27–29], while large displacement gradients have been considered in [30,31].”
Finite strain fracture of plates and shells with configurational forces and edge rotations (2013, methodology): “Keeseker-strapped cylinder: pressure versus crack size, comparison with References [41] and [1].”
A finite‐strain quadrilateral shell element based on discrete Kirchhoff–Love constraints (2005, background): “where the rotation matrix (T2I , t2I) takes a specific form of the general case (see Reference [31])”
Analysis of fracture in thin shells by overlapping paired elements (2006, methodology): “Then, it is possible to show that the traditional XFEM degrees of freedom are obtained by linear combination of the present method degrees of freedom.”
Element-wise fracture algorithm based on rotation of edges (2013, methodology): “[6, 15, 7]) are now being successfully solved with this technique.”
Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment (2008, unknown): “E-mail addresses: bordas@civil.gla.ac.uk (S. Bordas), Timon.Rabczuk@canterbury.ac.nz (T. Rabczuk), g-zi@korea.ac.kr (G. Zi).”
XFEM fracture analysis of orthotropic functionally graded materials (2013, unknown): “After successful application of original idea of XFEM for modeling 2D problems [27] [28] [29], it was soon extended to general 3D [30] [31] [32] [33] [34] [35] [36], plate [37] and shell [38] [39] [40] problems.”
The numerical simulation of fatigue crack growth using extended finite element method (2012, methodology): “Till date, XFEMhas extensively used to solve the problems of fracture mechanics including crack growth with frictional contact [17], cohesive crack propagation [18–21], quasi-static crack growth [22], arbitrary branched and intersecting cracks [23], and cracks in shells [24], fatigue crack propagati”
Stability of incompressible formulations enriched with X-FEM (2008, background): “[25] and Areias et al.[31] for fracture mechanics in plates and shells, and by Wagner et al.”
Phase-field modeling of fracture in linear thin shells (2014, unknown): “There are comparatively fewer methods considering fracture in thin shells [10].”