Modeling of Length Changes and Textures during Free End Torsion of Cylindrical Bars

Fathallah Qods; László S. Tóth; Paul van Houtte

doi:10.4028/www.scientific.net/MSF.495-497.1609

Paper Titles

The Texture Evolutions of Mg Alloy, AZ31, under Uni-Axial Loading
p.1585

Measurement and Calculation of Elastic Properties in Low Carbon Steel Sheet
p.1591

Work Hardening and Textures in hcp Materials
p.1597

Simulation of Texture Development of Plane Carbon Steel in Multipass Rolling Using Analytical Flow Function
p.1603

Modeling of Length Changes and Textures during Free End Torsion of Cylindrical Bars
p.1609

Plastic Anisotropy and Texture Evolution of Rolled AZ3l Magnesium Alloys
p.1615

Crystal Plastic Finite Element Simulation of Fe-Cu Polycrystals
p.1621

Simulation of the Lattice Strains Developed during a Tensile Test on a Multiphase Steel
p.1627

Synchrotron Radiation Investigation of Twinning in Extruded Magnesium Alloy AZ3l
p.1633

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Modeling of Length Changes and Textures during Free End Torsion of Cylindrical Bars

Abstract:

The Swift effect, i.e. the length changes during torsion of solid bars with axial freedom of deformation is analysed theoretically for polycrystalline copper. In the simulations, the bar is divided into 5 tubes and in each tube the texture development is simulated with the help of the Taylor viscoplastic polycrystal model. The distribution of the hydrostatic stress is obtained from the equilibrium equation and the zero axial force requirement is satisfied with the help of an iterative scheme. The simulations reproduce faithfully the observed axial deformation and texture development. A second technique, based on the minimum plastic power is also applied to predict the length changes and textures. This technique leads to results which are nearly equivalent to the results obtained from the technique based on the equilibrium equation.