Abstract
AbstractThe microstructural evolution of face‐centered cubic microwires is studied using a physical motivated, homogenized continuum model of crystal plasticity. The dislocation configuration in the three‐dimensional space is thereby described via a Continuum Dislocation Dynamics (CDD) theory including a dislocation source term. The resulting spatial distribution of dislocation densities and strain components are shown for a relaxation problem with torsional loading.
Highlights
Microwires under torsion show a pronounced size effect [1], whereby the consideration of single crystal allows to study the influence of strain gradients independent from grain sizes
Describing dislocation densitiy as a homogenized ensemble of dislocation lines, the Continuum Dislocation Dynamics (CDD) theory [2] is suitable for a physical consideration of such problem providing the benefits of a continuum formulation
The considered model describes the elasto-plastic deformation behavior of face-centered cubic single crystal metals, whereby the plasticity solely results from the evolution of the dislocation microstructure characterized by CDD densities
Summary
Microwires under torsion show a pronounced size effect [1], whereby the consideration of single crystal allows to study the influence of strain gradients independent from grain sizes. Describing dislocation densitiy as a homogenized ensemble of dislocation lines, the CDD theory [2] is suitable for a physical consideration of such problem providing the benefits of a continuum formulation. An extension including a dislocation density production term for bending is formulated in [3]. The connection between pile-ups and size effects is discussed in [4]
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