Strain localization in frictional materials exhibiting displacement jumps

By Ronaldo I. Borja, Richard A. Regueiro. 2001

154 citations recorded by the source corpus.

Subfields: Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/cd72e6c58d9fcb23021c7ce7b91216ab98843d7a

How researchers see this paper

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

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

Enrichment of enhanced assumed strain approximations for representing strong discontinuities: addressing volumetric incompressibility and the discontinuous patch test (2004, background): “notable are the enhanced assumed strain approaches [1, 2, 3 ], wherein the discontinuous mode is introduced through an enhanced deformation gradient approximation of the form”
Plane strain finite element analysis of pressure sensitive plasticity with strong discontinuity (2001, methodology): “In Borja and Regueiro (2001), a weak element (slightly lower yield stress) was selected for one case to demonstrate the dierence between the uniform stress solution and the nearly uniform one.”
New finite elements with embedded strong discontinuities in the finite deformation range (2008, unknown): “[8,9,37,29,15, 36,39,31], among others.”
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].”
Finite elements with embedded strong discontinuities for the modeling of failure in solids (2007, background): “Figure 4 illustrates the resulting function for a triangular element, as it can be found in [1, 12]; see [27] for a depiction for quadrilateral elements.”
On the mechanical energy and effective stress in saturated and unsaturated porous continua (2006, background): “Such representation is commonly used for describing strain localization of inelastic solids characterized by a shear band thickness of measure zero (Borja, 2000, 2002; Borja and Regueiro, 2001 ), a convenient mathematical approximation of � weak discontinuity� in which the shear band thickness is s”
A finite element model for strain localization analysis of strongly discontinuous fields based on standard Galerkin approximation (2000, methodology): “Although the function R is used to describe plastic yielding on the band, the model does not in fact require an explicit form for this function, as elaborated in [16] and reiterated further in the following discussions.”
Towards variational constitutive updates for non-associative plasticity models at finite strain: models based on a volumetric-deviatoric split (2009, methodology): “The material parameters used in the computations are summarized in Fig. 1. Except for the hardening parameters, they are identical to those employed in [ 38 ], if the deformations are infinitesimal small.”