Comparative study on finite elements with embedded discontinuities

By Milan Jirásek. 2000

449 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/4b089c2be7ab2bcc19c3647228c754a0bbaf917f

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Stability and robustness issues in numerical modeling of material failure with the strong discontinuity approach (2006, background): “Although advantages and disadvantages in both families have been reported [13, 24], the condensability properties of the second one are very appealing when focusing material failure in large three-dimensional problems Therefore, in the remaining of this work, only finite elements with elemental enri”
Mesh-independent discrete numerical representations of cohesive-zone models (2006, background): “[16–19], and [20,21] for a discussion of smeared vs discrete numerical representations of cohesive-zone models.”
A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM (2006, background): “(8), with respect to parameters (d i , b e ) lead to the discrete variational equations defining a kinematically consistent E-FEM implementation [10] [13]: dd i Á Z X h rN i Á r dX À Z C h r N i Á t dC !”
From local to global probabilistic modeling of concrete cracking (2010, background): “The fixed crack model (originally proposed by [37]), considers concrete as a perfectly brittle material for which the normal stress falls to zero after the formation of the crack [40].”
On three-dimensional modelling of crack growth using partition of unity methods (2010, methodology): “A very good review of EFEM is presented by Jirásek [63].”
Brittle fracture in polycrystalline microstructures with the extended finite element method (2003, methodology): “A comprehensive review and comparison of various embedded discontinuity approaches is provided by Jir�asek [ 34 ].”
Effective 3D failure simulations by combining the advantages of embedded Strong Discontinuity Approaches and classical interface elements (2011, unknown): “Comparative studies of the SDA and the XFEM were presented in [24, 36, 5].”
Theoretical and computational issues in modelling material failure in strong discontinuity scenarios (2004, background): “The distinctive features of this approach, compared to alternative procedures that do not keep that continuum format [1,2,12,34] have been pointed out elsewhere [24–26] and its main ingredients (that are explored in detail in [21]) can be summarized as follows:”