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Harmeet Singh's blog

2 postdoc positions available at IIT Gandhinagar, Gujrat, India.

Submitted by Harmeet Singh on

Applications are invited from motivated and qualified candidates for two postdoctoral positions in the mechanics of slender bodies. The positions are ideally suited for applicants with a background in solid mechanics, and a strong interest in theoretical and analytical work.

Application procedure: online

Planar equilibria of an elastic rod wrapped around a circular capstan

Submitted by Harmeet Singh on

We present a study on planar equilibria of a terminally loaded elastic rod wrapped around a rigid circular capstan. Both frictionless and frictional contact between the rod and the capstan are considered. We identify three cases of frictionless contact -- namely where the rod touches the capstan at one point, along a continuous arc, and at two points. We show that, in contrast to a fully flexible filament, an elastic rod of finite length wrapped around a capstan does not require friction to support unequal loads at its two ends.

Post-doctoral position at the University of Pavia, Italy.

Submitted by Harmeet Singh on

Applications are invited for a post-doctoral position at the University of Pavia, Italy, with Prof. Epifanio Virga (http://matematica.unipv.it/it/people/2026). The proposed research theme is

MATHEMATICAL MODELS FOR ADVANCED SOFT MATERIALS

The call (both in Italian and English) together with the application forms (in both languages, but only one needs to be filled in) can be found at the following addresses:

Partial constraint singularities in elastic rods

Submitted by Harmeet Singh on

We present a unified classical treatment of partially constrained elastic rods. Partial constraints often entail singularities in both shapes and reactions. Our approach encompasses both sleeve and adhesion problems, and provides simple and unambiguous derivations of counterintuitive results in the literature. Relationships between reaction forces and moments, geometry, and adhesion energies follow from the balance of energy during quasistatic motion. We also relate our approach to the configurational balance of material momentum and the concept of a driving traction.