On the characterization of geometrically necessary dislocations in finite plasticity

By P. Cermelli, M. Gurtin. 2001

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Consistent determination of geometrically necessary dislocation density from simulations and experiments (2018, methodology): “(28) is introduced when applying Stokes' theorem to higher order tensors, as proved by Cermelli and Gurtin (details in Appendix C) (Cermelli and Gurtin, 2001).”
A study of microstructural length scale effects on the behaviour of FCC polycrystals using strain gradient concepts (2004, background): “In passing, we note that Acharya and Bassani (2000) adopts a different approach whereby the spatial derivatives of Fe 1 are linked explicitly to the lattice incompatibility while Cermelli and Gurtin (2001) propose curlðFpÞFpT .”
On the comparison of two approaches to compute material forces for inelastic materials. Application to single-slip crystal-plasticity (2004, background): “Kosevich [18] and Kröner [19] and referenced cited therein, Anthony and Azirhi [2], Steinmann [36], Menzel and Steinmann [27], Acharya and Bassani [1], Davini [12], Cermelli and Gurtin [9,10], Svendsen [41] and others and e.”
Crystal plasticity analysis of micro-deformation, lattice rotation and geometrically necessary dislocation density (2012, background): “…fcc crystals The determination of the GND density has been discussed by many authors (e.g. Nye 1953; Arsenlis & Parks 1999; Acharya & Bassani 2000; Cermelli & Gurtin 2001) and here we equate the closure failure (Nye 1953) written in terms of density of GNDs and the cumulative Burger vector…”