Softening, localization and stabilization: capture of discontinuous solutions in J2 plasticity

By Miguel Cervera, Michele Chiumenti, Carlos Agelet de Saracibar. 2004

54 citations recorded by the source corpus.

This paper exploits the concept of stabilization techniques to improve the behaviour of mixed linear/linear simplicial elements (triangles and tetrahedra) in incompressible or nearly incompressible situations. Elasto‐J2‐plastic constitutive behaviour has been considered with linear and exponential softening. Two different stabilization methods are used to attain global stability of the corresponding discrete finite element formulation. Implementation and computational aspects are also discussed, showing that a robust application of the proposed formulation is feasible. Numerical examples show that the formulation derived is free of volumetric locking and spurious oscillations of the pressure. The results obtained do not suffer from spurious mesh‐size or mesh‐bias dependence, comparing very favourably with those obtained with the standard, non‐stabilized, approaches. Copyright © 2004 John Wiley & Sons, Ltd.

Subfields: Biomedical Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/5c0b31b2841ed75e64777d530e5228572d954091

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In Biomedical Engineering

In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

An interior‐point algorithm for elastoplasticity (2007, background): “Reference [79] and references therein, the characteristic length is related to the volume of the elements.”
Continuum damage model for orthotropic materials: Application to masonry (2011, background): “The interested reader is referred to [68-73] for details.”
Smeared crack approach: back to the original track (2006, background): “In recent papers ([1] and [2]) it is shown that mesh objective solutions, convergent upon refinement and exhibiting highly localized shear bands (or slip lines), can be obtained using local J2-plasticity and damage models.”
An incremental stress state dependent damage model for ductile failure prediction (2016, background): “For instance, Cervera et al. (2004), Cervera and Chiumenti (2009) proposed a method where the material hardening modulus is modified according to the element size such that the dissipated energy in the fracturing process is insensitive to the discretization.”