Thermodynamics applied to gradient theories involving the accumulated plastic strain : The theories of Aifantis and Fleck and Hutchinson and their generalization

By M. Gurtin, L. Anand. 2009

251 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/7789f54eb4a4f3b1cd216db25acc4f8e75a282c0

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

A gradient-enhanced damage model coupled to plasticity—multi-surface formulation and algorithmic concepts (2018, background): “Note that the balance equation for the damage field (10)2 as well as the variational setting presented above are generally in line with other approaches (Frémond and Nedjar, 1996; Gurtin, 2010; Gurtin and Anand, 2009; Gurtin et al., 2009).”
An implicit tensorial gradient plasticity model - formulation and comparison with a scalar gradient model (2011, background): “In the analysis of a scalar explicit gradient model, Idiart et al. (2009) considered only the top half of the foil (due to symmetry of p) and imposed the natural boundary condition ðn rp 1⁄4 0Þ at the neutral axis (i.”
Some links between recent gradient thermo-elasto-plasticity theories and the thermomechanics of generalized continua (2010, methodology): “A thermomechanical framework of Aifantis gradient plasticity theory has been provided by several authors (Forest et al., 2002; Gurtin and Anand, 2009; Fleck and Willis, 2009b) for models including the gradient of a scalar plastic measure, and (Forest and Sievert, 2003; Gurtin, 2003; Fleck and…”
A mathematical basis for strain-gradient plasticity theory. Part II: Tensorial plastic multiplier (2009, methodology): “in terms of a hardening modulus h and a single material length ‘* .( Fleck and Hutchinson (2001) also give a more sophisticated version involving three material length scales, but similar in mathematical structure to that of Eq. (1.1).) Their prescription ensures that Qde P X0 but does not enforce t”
How contact interactions may depend on the shape of Cauchy cuts in Nth gradient continua: approach “à la D’Alembert” (2012, background): “[68], [69], [57], [58], [67], [106], [107], [108], [51], [52], [53]) finally recognize its fundamental role also in Continuum Mechanics.”
Interfaces in crystalline materials (2009, background): “Although during the past 15 years various gradient plasticity versions have been developed, it was shown in [4] that the first [3] gradient plasticity framework developed in the 80s by Aifants is consistent with thermodynamics.”