An evaluation of higher-order plasticity theories for predicting size effects and localisation

By Rab Roy Engelen, Norman A. Fleck, Rhj Ron Peerlings, Mgd Marc Geers. 2006

95 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/a293167caa01d25566c5220369b6a96671d17163

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Well-posedness of a model of strain gradient plasticity for plastically irrotational materials (2008, background): “The role played by softening in situations in which size effects are relevant has been discussed extensively (see Engelen et al. (2006) for an account that reviews earlier contributions to the subject).”
Localization properties of strain-softening gradient plasticity models. Part II: Theories with gradients of internal variables (2009, unknown): “This has already been noted by Engelen et al. (2006).”
Micromorphic Approach for Gradient Elasticity, Viscoplasticity, and Damage (2009, methodology): “In the reference Engelen et al. 2003 , after introducing the partial differential Eq.”
A mathematical basis for strain-gradient plasticity theory. Part II: Tensorial plastic multiplier (2009, background): “…effects: the Hall–Petch size effect, the bending and torsional strengths of micron-scale specimens and the indentation size effect (see for example, Aifantis and Willis, 2005, 2006; Hwang et al., 2002; Wei and Hutchinson, 2003; Kuroda et al., 2007; Engelen et al., 2006; Evans and Hutchinson, 2009).”
A micromechanics-based approach for the derivation of constitutive elastic coefficients of strain-gradient media (2012, background): “(T.-H. Tran), vincent.monchiet is-est.fr (G. Bonnet). and Grentzelou, 2006) or the localization phenomenon (see Triantafyllidis and Aifantis, 1986; Chambon et al., 2001; Engelen et al., 2006) for which very large values of strain gradient may occur.”
An implicit tensorial gradient plasticity model - formulation and comparison with a scalar gradient model (2011, background): “Typically, the implicit gradient models formulated with a view to regularize softening behavior may not be able to capture the size effect phenomena during hardening (Engelen et al., 2006).”
Size effects in the bending of thin foils (2009, background): “[4], the first term in this expression is the standard contribution of axial stresses, but the second term is a non-standard contribution of higher-order tractions.”