On the plasticity of single crystals: free energy, microforces, plastic-strain gradients

By M. Gurtin. 2000

540 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/efe4b400c7bfdf8bef56d5c29dba49fc14d3ed8a

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

Citations in the corpus

Existence and Uniqueness for Rate-Independent Infinitesimal Gradient Plasticity with Isotropic Hardening and Plastic Spin (2010, background): “Recently Reddy [12] (see also Ebobisse [13]) treated a geometrically linear model introduced by Gurtin [6], essentially different from the model we consider here.”
Update on a class of gradient theories (2003, background): “Since then, several papers have been written on the subject (e.g. Maugin and Muschik, 1994; Valanis, 1996; Polizzotto and Borino, 1998; Shizawa and Zbib, 1999; Menzel and Steinmann, 2000; Gurtin, 2000).”
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).”
A reformulation of strain gradient plasticity (2001, background): “The range of problems being studied within the framework of strain gradient plasticity theory is expanding steadily: 3ow and creep of polycrystals, two-phase alloys and reinforced composites (Smyshlyaevand Fleck, 1994, 1996; Gurtin, 2000 ), shear bands and other localizations (Aifantis, 1984; Zbib ”
Micromorphic Approach for Gradient Elasticity, Viscoplasticity, and Damage (2009, background): “For the size-dependent plasticity models Gurtin 2000 , s has to be replaced by s itself.”
A theory of amorphous solids undergoing large deformations, with application to polymeric glasses (2003, background): “…1998) In our theory, we represent this local free-volume by an internal-state variable g. 4 An important feature of our theory is the assumption that the (Helmholtz) free energy depends on Fp, an assumption that leads directly to a backstress in the underlying flow rule (cf. Gurtin, 2000, 2003).”
A gradient theory of small-deformation isotropic plasticity that accounts for the Burgers vector and for dissipation due to plastic spin (2004, background): “…that ˙∫ B Ψp dV = ∫ B S: curl Ḣp dV = ∫ B Ḣp : [ curl (S ) ] dV = ∫ B Ḣp : (T0 −Tp) dV = ∫ B (T0 : Ėp −Tp : Ḣp) dV. (9.3) Thus we have a global defect balance (Gurtin, 2000, 2003) ˙∫ B Ψp dV = ∫ B T0 : Ėp dV ︸︷︷︸ cold working − ∫ B Tp : Ḣp dV ︸︷︷︸ dissipation (9.4) asserting that the…”