Theoretical and computational issues in modelling material failure in strong discontinuity scenarios

By Javier Oliver, Alfredo Huespe. 2004

110 citations recorded by the source corpus.

The paper deals with several aspects related to numerical modelling of material failure in strong discontinuity settings: (a) the onset and development of local material failure in terms of continuum constitutive models equipped with strain softening. Closed forms formulas for the solutions of the discontinuous material bifurcation problem are given for a class of those models; (b) finite elements with embedded discontinuities: nodal and elemental enrichments families are formulated in the continuum strong discontinuity approach (CSDA); (c) instability treatment: a discrete viscous perturbation method at the failure surfaces is presented as a way to substantially improve the robustness of the numerical simulations.

Subfields: Computational Mechanics, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/023faa1720c562a128b1a4d6144264f1cfaea376

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In Computational Mechanics

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Modelling large crack propagation: from gradient damage to cohesive zone models (2012, result): “Even though recent works propose some answers to the challenges (Gasser and Holzapfel 2006; Oliver and Huespe 2004a,b; Chiaruttini et al. 2011), industrial applications of cohesive zone models should still be restricted preferentially to configurations where potential crack paths may be stated a…”
A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM (2006, methodology): “[23]).”
Stability and robustness issues in numerical modeling of material failure with the strong discontinuity approach (2006, methodology): “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”
Strong discontinuity embedded approach with standard SOS formulation: Element formulation, energy-based crack-tracking strategy, and validations (2015, methodology): “This technique was suggested in other SDA models such as [40,41].”
Finite elements with embedded strong discontinuities for the modeling of failure in solids (2007, background): “[32], as well as [33] for the influence of the unsymmetric character of (30) in the arguments.”
Continuum approach to material failure in strong discontinuity settings (2004, background): “1, propagation can be triggered(6) the first time tB(x) that a material bifurcation criterion (loss of strong ellipticity) is fulfilled [27],[34],[23].”
Smeared crack approach: back to the original track (2006, background): “Another of these efforts to model discrete cracks without the need of remeshing is the so-called strong discontinuity approach ([11], [12], [13], [14], [15], [16]).”
New finite elements with embedded strong discontinuities for the modeling of failure in electromechanical coupled solids (2011, background): “The obtained result can also be viewed as an extension of the discontinuous material bifurcation outlined in Oliver and Huespe [47] within the strong discontinuity approach to electromechanical coupled materials.”