A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations

By M. Gurtin. 2002

866 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/9b3b37648fbd8eb50f84907f5a9c602e24debc59

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

Citations in the corpus

The role of interfaces in enhancing the yield strength of composites and polycrystals (2005, background): “Rather precise theory has also been developed in the context of single-crystal plasticity (Gurtin, 2000, 2002).”
An analysis of (the lack of) slip transfer between near-cube oriented grains in pure Al (2019, background): “Rigorous modeling of grain boundaries can be done based upon strictly continuum perspectives (Gurtin 2002; Abu Al-Rub and Voyiadjis, 2006; Gurtin 2008; Van Beers et al., 2013; Bond and Zikry, 2017) but it leads to very complex models that are not suitable to simulate very large models containing…”
Phase‐field modeling of ductile fracture at finite strains: A robust variational‐based numerical implementation of a gradient‐extended theory by micromorphic regularization (2017, background): “Associated models of single crystal gradient plasticity are proposed by many authors, for example, Gurtin [18], Svendsen [19], and Evers et al. [20].”
Thermodynamic framework for coupling of non-local viscoplasticity and non-local anisotropic viscodamage for dynamic localization problems using gradient theory (2004, background): “Gurtin (2002) generalized a rate-independent constitutive theory that includes dependences on a tensorial measure of geometrically necessary dislocations to single-crystal viscoplasticity using the gradient theory.”
An integrated fast Fourier transform-based phase-field and crystal plasticity approach to model recrystallization of three dimensional polycrystals (2015, background): “Another approach is to directly include a plastic strain field defined at the meso-scale in PFM [25].”
A comparison of dislocation induced back stress formulations in strain gradient crystal plasticity (2006, background): “…plasticity formulations which include geometrically necessary dislocations have been developed in the past years by a number of researchers, for example by Han et al. (2005a), Han et al. (2005b), Yefimov et al. (2004), Yefimov and Van der Giessen (2005), Evers et al. (2004a,b) and Gurtin (2002).”
Exegesis of the Introduction and Sect. I from “Fundamentals of the Mechanics of Continua”** by E. Hellinger (2017, background): “51 This corresponds to reference [51] in the paper at hand.”