Gradient plasticity theory with a variable length scale parameter

By George Z. Voyiadjis, R. A. Abu Al-Rub. 2005

269 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/9d130544abf4517675d6f5b51d6d67b7f44d56d8

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In Materials Chemistry

Citations in the corpus

A comparison of dislocation induced back stress formulations in strain gradient crystal plasticity (2006, methodology): “…incorporated within the slip system resistance, back stresses associated with the second order strain gradients are occasionally included in the constitutive model as shown by Yefimov et al. (2004), Yefimov and Van der Giessen (2005) and Evers et al. (2004a,b) to capture size dependent effects.”
Size effects in nanoindentation: an experimental and analytical study (2010, unknown): “In this section the experimental results presented from the previous section are compared with the model proposed by Voyiadjis and Abu Al-Rub [9] and the model developed in Sect.”
A simplified implementation of a gradient-enhanced damage model with transient length scale effects (2013, background): “In this context, it is worth mentioning that also gradient plasticity models can benefit from the use of an evolving length scale as demonstrated by Voyiadjis and Abu Al-Rub [22].”
Review of Nanoindentation Size Effect: Experiments and Atomistic Simulation (2017, methodology): “Accordingly, Zhang and Voyiadjis [108] proposed a material length scale that incorporates th effect f distance b tw en the GB and indenter tip r based on the framework Crystals 2017, 7, 321 9 of 28 developed by Nix and Gao [13], Abu Al-Rub and Voyiadjis [97], Voyiadjis and Abu Al-Rub [109] and Voyia”
A physically based gradient plasticity theory (2006, background): “Abu Al-Rub and Voyiadjis (2004a,b) and Voyiadjis and Abu Al-Rub (2005) presented different forms of Eq. (2) that enhance nonlinear couplings between qS and qG and they introduced three different interaction coefficients in order to assess the sensitivity of predictions to the way in which the coup”
Micromorphic Approach for Gradient Elasticity, Viscoplasticity, and Damage (2009, background): “…hardening variables associated with the classical isotropic and kinematic hardening variables has been pursued in Dorgan and Voyiadjis 2003 , Voyiadjis et al. 2004 , Voyiadjis and Dorgan 2004 , and Voyiadjis and Abu Al-Rub 2005 , where the corresponding thermodynamical framework is settled.”