Boundary layers in constrained plastic flow: comparison of nonlocal and discrete dislocation plasticity

By J. Y. Shu, Norman A. Fleck, V. Giessen, A. Needleman. 2001

192 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/883e628254e76d4c735581e67a0b1bd7feee6052

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In Materials Chemistry

1. J. Willis
2. J. W. Hutchinson
3. Norman A. Fleck
4. Mgd Marc Geers
5. V. Kouznetsova
6. K. Aifantis
7. A. Roy
8. S. Forest

In Mechanics of Materials

1. Norman A. Fleck
2. Mgd Marc Geers
3. V. Kouznetsova
4. J. W. Hutchinson
5. J. Willis
6. A. Roy
7. Rhj Ron Peerlings
8. J. Vlassak

Citations in the corpus

• Computational homogenization for the multi-scale analysis of multi-phase materials (2002, background): “Finally, it is remarked that the formation of boundary layers in a metallic single crystal strip has been intensively investigated by Shu et al. (2001). The results obtained in this reference and in the present work cannot be directly compared due to fundamentally different underlying physical mecha”
• A study of microstructural length scale effects on the behaviour of FCC polycrystals using strain gradient concepts (2004, background): “However, they are unable to describe problems which may require non-standard boundary conditions, such as the boundary layer problem modelled by Shu et al. (2001).”
• The role of interfaces in enhancing the yield strength of composites and polycrystals (2005, background): “Examples of work of this type include Cleveringa et al. (1997), Shu et al. (2001), Bittencourt et al. (2003).”
• A reformulation of strain gradient plasticity (2001, background): “If the substrates are rigid, or elastic but sti4, dislocations in the layer will be blocked as they approach the boundaries and arrest at a stando4 distance; Shu et al. (2001) have recently simulated such behavior in a discrete dislocation calculation of constrained plastic 3ow within a crystallin”
• Plastic deformation of freestanding thin films: Experiments and modeling (2006, background): “Size effects occur due to dislocation starvation and due to limited dislocation sources, in addition to arising from geometrically necessary dislocations and boundary constraints (Cleveringa et al., 1999; Shu et al., 2001; Nicola et al., 2003, 2005a; Deshpande et al., 2005).”
• An evaluation of higher-order plasticity theories for predicting size effects and localisation (2006, background): “Discrete dislocation simulations further support the notion of a material length scale: calculations have been performed recently of a constrained layer subjected to simple shear (Shu et al., 2001).”
• Size effects and idealized dislocation microstructure at small scales: Predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part I (2005, background): “presented in Shu et al. (2001) , suggesting that this feature is perhaps only related to the”
• Multiscale modelling of nanomechanics and micromechanics: an overview (2003, background): “However, one limitation of these types of theory is that they are unable to describe problems which may require non-standard boundary conditions such as the boundary layer problem modelled by Shu et al. (2001).”