A unified treatment of strain gradient plasticity

By P. Gudmundson. 2004

558 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/bf4d3b2dd9b51eabe51605f1559a9e288b06dbe6

How researchers see this paper

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

In Materials Chemistry

1. Norman A. Fleck
2. J. Willis
3. J. W. Hutchinson
4. K. Aifantis
5. A. Roy
6. F. Ebobisse
7. S. Forest
8. Amit Acharya

In Mechanics of Materials

1. Norman A. Fleck
2. V. Deshpande
3. J. W. Hutchinson
4. J. Willis
5. H. Wadley
6. F. Ebobisse
7. K. Aifantis
8. A. Roy

Citations in the corpus

• Guidelines for Constructing Strain Gradient Plasticity Theories (2015, methodology): “4) derives from the constitutive construction proposed in [3-5] to ensure positive plastic dissipation of the unrecoverable stresses.”
• A mathematical basis for strain-gradient plasticity theory. Part II: Tensorial plastic multiplier (2009, methodology): “This more general theory is built upon the formulation of Gudmundson (2004) and establishes an explicit kinematic hardening theory, involving both dissipative and energetic stresses within the solid and at internal interfaces.”
• Size effects and idealized dislocation microstructure at small scales: Predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part I (2005, result): “nn, 2000; Gao et al., 2000; Shu et al., 1999, 2001; Gurtin, 2000; Bittencourt et al., 2003; Arsenlis et al., 2002; Evers et al., 2004; Ortiz and Repetto, 1999, Shizawa and Zbib, 1999, Svendsen, 2002, Gudmundson, 2004; Aifantis and Willis, 2004; Gurtin and Anand, 2005). The concepts and methodologica”
• A discontinuous Galerkin formulation for classical and gradient plasticity - Part 1: Formulation and analysis (2007, background): “In the works of Gurtin [9] and Gudmundson [10], it is assumed that plastic flow is governed not necessarily by the magnitude of the stress deviator, but more generally by microstress tensors that also satisfy a balance law.”
• Well-posedness of a model of strain gradient plasticity for plastically irrotational materials (2008, background): “may be found, for example, in the works by Gudmundson (2004) and by Engelen et al. (2006).”
• An implicit tensorial gradient plasticity model - formulation and comparison with a scalar gradient model (2011, background): “Alternatively, these gradient enrichments can also be applied to viscoplastic constitutive relations so that distinct elasto-plastic boundaries are avoided (e.g. Gudmundson, 2004).”