Incompatibility and a simple gradient theory of plasticity

By J. Bassani. 2001

191 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/ff0a988e3a7edec6c0bd435ae785e8fb3ecc9db8

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In Biomedical Engineering

In Materials Chemistry

Citations in the corpus

A physically based gradient plasticity theory (2006, background): “The second framework does not involve the higher-order stresses and the equilibrium equation remains the same as those of classical theory (e.g., Acharya and Bassani, 2000; Bassani, 2001; Chen and Wang, 2002; Gao and Huang, 2001; Abu Al-Rub and Voyiadjis, 2004a).”
Thermodynamic framework for coupling of non-local viscoplasticity and non-local anisotropic viscodamage for dynamic localization problems using gradient theory (2004, background): “The presence of microcracks/microvoids as lattice defects, which impedes the movement of dislocations, is an example of r2 (Acharya and Bassani, 2000; Bassani, 2001).”
Gradient plasticity theory with a variable length scale parameter (2005, background): “In this connection, a similarly motivated strain gradient theory of plasticity based on incompatible lattice deformations was recently advanced by Acharya and Bassani (2000), Bassani (2001), and Gurtin (2002, 2003).”
Analytical and experimental determination of the material intrinsic length scale of strain gradient plasticity theory from micro- and nano-indentation experiments (2004, unknown): “…encountered in composite material experiments (e.g. Fleck and Hutchinson, 1997; Shu and Fleck, 1999; Shu and Barrlow, 2000; Busso et al., 2000; Bassani, 2001; Xue et al., 2002a), micro- and nano-indentation experiments (e.g. Nix and Gao, 1998; Shu and Fleck, 1998; Begley and Hutchinson, 1998;…”
A study of microstructural length scale effects on the behaviour of FCC polycrystals using strain gradient concepts (2004, methodology): “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 curl(Fp)Fp.”
An implicit tensorial gradient plasticity model - formulation and comparison with a scalar gradient model (2011, background): “One class of such theories introduces a length scale parameter in the incremental tangent modulus to reflect the additional hardening at small geometrical dimensions (Bassani, 2001).”