3D modelling of strong discontinuities in elastoplastic solids: fixed and rotating localization formulations

By Jörn Mosler, Günther Meschke. 2003

121 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/177cf4511b3863efaf01a7c3da24703c23dc4405

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In Civil and Structural Engineering

In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Modeling three‐dimensional crack propagation—A comparison of crack path tracking strategies (2008, unknown): “[19, 22, 24–39].”
Crack propagation criteria in the framework of X‐FEM‐based structural analyses (2007, unknown): “With the exception of the ‘rotating’ crack formulation of the strong discontinuity approach [11], the topology of crack segments is held fixed once they are signalled to open.”
Strong discontinuity embedded approach with standard SOS formulation: Element formulation, energy-based crack-tracking strategy, and validations (2015, methodology): “Then φ(e) is used to compute ∇φ(e) [38].”
Mixed stabilized finite element methods in nonlinear solid mechanics: Part II: Strain localization (2010, methodology): “Recent FE technologies like the SDA ([24], [33], [34], [35], [36], [27], [37], [38], [39], [40]) and the X-FEM ([41], [42], [43]) tackle this problem directly.”
A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM (2006, background): “• Elemental enrichment [1,2,7,8,10,18–20,22,29,34]: the support for each mode is a given element, see Fig.”
Effective 3D failure simulations by combining the advantages of embedded Strong Discontinuity Approaches and classical interface elements (2011, methodology): “While the extended finite element method [4, 48] and the phantom nodes approach [20, 22] fall into the range of the first group, the so-called embedded Strong Discontinuity Approach (SDA), as introduced in [45] in its modern form, belongs to the latter (see also [50, 6, 31, 13, 42] for fully three-d”
A multiscale multi-permeability poroplasticity model linked by recursive homogenizations and deep learning (2018, background): “Interested readers may refer to a number of related works on assumed strain formulation such as Callari and Armero [2002], Borja [2000], Mosler and Meschke [2003], Callari et al. [2010] for details.”
New finite elements with embedded strong discontinuities for the modeling of failure in electromechanical coupled solids (2011, methodology): “Extensions to the finite deformation theory are performed in Armero and Garikipati [6] and the account for the propagation of the localized zones through three dimensional finite elements is accomplished in Wells [69] or Mosler and Meschke [43], among others.”