A finite element model for strain localization analysis of strongly discontinuous fields based on standard Galerkin approximation

By Ronaldo I. Borja. 2000

210 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/00fcb0e76b2467e5e3ee0f7816ebac7bda40fbd2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

The Schwarz alternating method in solid mechanics (2017, background): “For problems where the deformation band thickness is much smaller than the mesh size, enhancement basis functions or localization elements can be inserted to idealize the deformation band with embedded strongly or weakly discontinuous displacement fields [11, 12, 69].”
Plane strain finite element analysis of pressure sensitive plasticity with strong discontinuity (2001, methodology): “If a uniform strain element is used like the constant strain triangle or the hexahedral element of Belytschko and Bindeman (1993), the AES method can be abandoned for the standard Bubnov±Galerkin method via an implicit treatment of the consistency condition within the stress update (Borja, 2000).”
A contact algorithm for frictional crack propagation with the extended finite element method (2008, methodology): “We remark that the above expression for the infinitesimal strain tensor has additional terms associated with ∇s̃u arising from the gradient of the discontinuous part of u, which has been ignored in the formulation of [14–17, 19–21].”
Localizing gradient damage model with decreasing interactions (2017, background): “Because deformation localizes and propagates along a shear band, it has been modelled as a line with discontinuous displacement fields [42].”
Object‐oriented finite element analysis of thermo‐hydro‐mechanical (THM) problems in porous media (2007, methodology): “The set-up of the biaxial compression problem as proposed in Reference [41] is shown in Figure 22.”
Stability and robustness issues in numerical modeling of material failure with the strong discontinuity approach (2006, background): “1 INTRODUCTION During the last years, the Strong Discontinuity Approach (SDA) has appeared as a promising tool to model material failure in quasi brittle materials [1-8].”
Cover cracking of reinforced concrete due to rebar corrosion induced by chloride penetration (2011, methodology): “Limiting the analysis to CST elements, a node is selected so that the side opposite to it is as parallel as possible to the crack [12,13,24].”
Strong discontinuity embedded approach with standard SOS formulation: Element formulation, energy-based crack-tracking strategy, and validations (2015, methodology): “If this formulation is based on the standard Galerkin method, the numerical stability and convergence rate of which strongly depend on the angle between the vector describing the crack opening and the vector describing strain localization [34].”
3D modelling of strong discontinuities in elastoplastic solids: fixed and rotating localization formulations (2003, unknown): “A similar approach was recently proposed in [38].”