Plasticity of crystals and interfaces: from discrete dislocations to size-dependent continuum theory. (English) Zbl 1299.74002

Mesarović, Siniša Đ.

Theor. Appl. Mech. (Belgrade) 37, No. 4, 289-332 (2010).

From the text: We summarize the current advances in size-dependent continuum plasticity of crystals, specifically, the rate-independent (quasistatic) formulation, on the basis of dislocation mechanics. A particular emphasis is placed on relaxation of slip at interfaces. This unsolved problem is the current frontier of research in plasticity of crystalline materials. We outline a framework for further investigation, based on the developed theory for the bulk crystal.

MSC:

74-02	Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids
74C15	Large-strain, rate-independent theories of plasticity (including nonlinear plasticity)
74E05	Inhomogeneity in solid mechanics
74E15	Crystalline structure

Keywords:

grain boundary dislocations; discrete to continuum; long-range interactions; short dislocation-dislocation correlation