A model of grain fragmentation based on lattice curvature

By L. Toth, Yuri Estrin, R. Lapovok, C. Gu. 2010

238 citations recorded by the source corpus.

A new model is proposed that aims to capture within a single modelling frame all the main microstructural features of a severe plastic deformation process. These are: evolution of the grain size distribution, misorientation distribution, crystallographic texture and the strain-hardening of the material. The model is based on the lattice curvature that develops in all deformed grains. The basic assumption is that lattice rotation within an individual grain is impeded near the grain boundaries by the constraining effects of the neighbouring grains, which gives rise to lattice curvature. On that basis, a fragmentation scheme is developed which is integrated in the Taylor viscoplastic polycrystal model. Dislocation density evolution is traced for each grain, which includes the contribution of geometrically necessary dislocations associated with lattice curvature. The model is applied to equal-channel angular pressing. The role of texture development is shown to be an important element in the grain fragmentation process. Results of this modelling give fairly precise predictions of grain size and grain misorientation distribution. The crystallographic textures are well reproduced and the strength of the material is also reliably predicted based on the modelling of dislocation density evolution coupled with texture development.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/e5f7342e9379c324040f5c62a59fa9de0d240dde

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Dynamic and post-dynamic recrystallization under hot, cold and severe plastic deformation conditions (2014, background): “According to these authors [225], the differences in crystallographic orientation between different regions within a grain are accommodated by the geometrically necessary dislocations that are introduced to provide the required lattice curvature.”
Modeling and simulation in tribology across scales: An overview (2018, background): “11 are not captured by the available crystal plasticit y models, even though attempts in that direction ha ve been made [191-194].”