# torsion

## How to model the Torsion of a bar in abaqus with displacement control?

Hi,

I have a bar with an analytical rigid surface attached at the free end with a RP at the centre of it. I am applying a rotational BC of UR3 = 0.017 (1 deg) with respect to the Z axis, but the resulting rotation at the end of the bar is more than 1 degree. Any idea why? Or how to have a full control of the twist of the bar? Also the bar deforms in shape where the end at which the twist is applied expands, making this cross-section bigger (clearly no the deformation expect for torsion). Input file attached in a word doc.

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## Analytical elastic-plastic solutions for the torsion of a round bar with a heterogeneous cross section

Hello,

I am trying to derive/find an analytical expression
for the torsion of a round bar made of an heterogeneous material. But I just do
not seem to find any solution available in the literature other than for a
homogeneous material, which can be find in any theory of plasticity book (e.g.
Theory of Plasticity, 3rd Ed., J. Chakarabarty, pp. 132-136).

## Stress gradient plasticity

Liu, D., He, Y., Zhang, B., 2013. Towards a further understanding of dislocation pileups in the presence of stress gradients.  Doi: 10.1080/14786435.2013.774096

## stiffness matrix for torsional beam

I would like to know how to write a stiffness matrix for a bar under torsional load. I would like to write a code in C++ to do this. I would like to know of any material regarding this.