phenomenon

torsion

Torsion is the twisting of an object due to an applied torque or internal stress.
15 related articles

Description

Torsion is the twisting of an object when a torque (a twisting force) is applied to it. In physics and engineering, it describes how a material deforms under rotational stress — think of wringing out a wet towel or the way a metal rod twists when one end is turned while the other is held fixed. The concept is central to understanding the behavior of shafts, springs, and even biological materials like spider silk, which responds to moisture by twisting. Torsion also appears in more exotic contexts, such as the twisting of spacetime around rotating masses or the helical paths of particles in magnetic fields.

History

The mathematical theory of torsion in elastic rods was developed by Coulomb in the 18th century and later refined by Saint-Venant in the 19th century.

How it works

When a torque is applied to an object, internal shear stresses develop, causing different cross-sections to rotate relative to each other. The amount of twist depends on the material's shear modulus, the object's length, and its cross-sectional geometry. For a uniform circular shaft, the angle of twist is proportional to the applied torque and length, and inversely proportional to the polar moment of inertia and shear modulus. In more complex materials, like layered crystals or biological fibers, torsion can couple with other deformations, leading to phenomena like moisture-induced twisting in spider silk.

In practice

Torsion is used in designing drive shafts, torsion bars in vehicle suspensions, and in measuring instruments like torsion balances, which were used by Cavendish to measure gravitational attraction.

Fun fact

Spider silk twists when exposed to humidity, a property that could be harnessed for actuators or sensors that respond to moisture.

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Related articles · 15

Materials2026-09-082 minarXiv:2609.08931
A Lid That Twists at Its Rim: How Layered Crystals Resist Rotation
It is easier to turn a jar lid by gripping its edge than its center. Layered crystals such as graphite behave similarly when one layer is twisted relative to another: the resistance arises not from the whole contact area but only from its rim.
q-bio.CB2026-09-033 minarXiv:2609.03691
How Tissue Tears: A New Topological Operation in the Vertex Model
A sheet of paper tears where tension exceeds strength. Epithelium, the cell sheet lining our organs, behaves similarly, but until recently models could not show how tears appear in it. The classical vertex model describes tissue as a network of polygons tightly packed together and forbids cells from detaching.
Mesoscale2026-09-022 minarXiv:2609.02723
Twisting as the Key to Two Locks of One Material
A door lock with two different keys: one turns easily, the other demands noticeable effort. That is how two layers of hexagonal boron nitride behave when twisted relative to each other. This material consists of boron and nitrogen atoms arranged in a hexagonal lattice, and its layers can sit in different registries, like two identical grids shifted by different angles.
HEP Phenomenology2026-07-311 minarXiv:2607.29618express
The Universe Heats Up on Vortices
The early Universe was like a tightly coiled spring. In the first moments, it expanded at an unimaginable rate — a phase called inflation. Usually, this is attributed to a special field, but there's another idea: spacetime itself twists like a spring, and this twisting (in physics, torsion) becomes the engine of expansion.
HEP Theory2026-05-301 minarXiv:2606.00617express
Neutrinos on a Twisted Path
Two pebbles drop into water, and the ripples on the surface intersect, blending their patterns. Neutrinos behave much the same way: light particles that pierce us by the billions every second. They can transform from one type to another, like an actor changing masks. Physicists call this dance oscillations.
Mesoscale2026-05-101 minarXiv:2605.09240express
The Elasticity Nobody Noticed
A rubber band stretches and snaps back. A steel spring compresses and expands. Elasticity seems like a property of simple things — a piece of metal or a drop of gel. But the authors of this work looked deeper. They showed that the electron's spin, its own tiny rotation, can also be elastic.
High Energy2026-05-071 minarXiv:2605.06085express
Charged Layers in the Pulsar Wind
A thin layer of oil on the surface of water breaks into separate droplets at the slightest disturbance. Something similar happens in the pulsar wind — a stream of particles ejected by a rapidly rotating neutron star. This stream also contains plasma layers, which can break apart into clumps — magnetic islands.
Materials2026-04-131 minarXiv:2604.11397express
How Metal Gets Stronger: The Dance of Defects
When you pull on a piece of metal, it changes shape and simultaneously becomes stronger. The secret lies in tiny defects in the crystal lattice called dislocations. They are like wrinkles in a rug: moving a wrinkle shifts the rug more easily than dragging the whole rug.
How Soap Changes the Shape of a Drop
A drop of oil in water, coated with soap molecules, behaves differently from a bare drop. Soap molecules are tiny rods: one end loves water, the other loves oil. In a quiescent fluid, they stand on the surface like a picket fence, lowering the surface tension — the force that pulls the drop into a sphere.
The Coin That Refuses to Stop
A coin spinning on a table is a familiar sight. At first it rotates quickly, then it tilts, and its rattling becomes faster and faster. In the last seconds it seems to hover: the rotation slows, but the coin just won't finally lie flat. This final moment is a real puzzle for physicists.
Materials2026-02-121 minarXiv:2602.12427express
Friction in Faults: How Sand Turns into an Earthquake
When two tectonic plates grind against each other, a layer of pulverized rock ends up between them, like sand between your palms. This layer, which geologists call fault gouge, behaves not like solid rock but like a thick paste: it can compact, dilate, and slide. Whether a fault ruptures in a devastating earthquake or creeps slowly and safely depends on its whims.
Fluid Dynamics2026-02-032 minarXiv:2602.03617express
Roughness That Decides a Flight's Fate
A blunt cylinder flying at six times the speed of sound isn't the most elegant object, but it's the star of a new simulation. The surface of such a vehicle is never perfectly smooth: during atmospheric entry, the heat shield ablates, leaving bumps and pits.
Biological Physics2026-01-202 minarXiv:2601.13924express
Spider Silk Twists When Wet
A spider web is not just a sticky net but a delicate instrument that responds to the weather. When the air becomes humid, spider silk threads shorten and twist, like a wet towel being wrung from both ends. Previously, it was thought that the thread twists because the proteins inside are arranged in a spiral. But no direct evidence for such an arrangement was found.
How a Sheet of Paper Decides to Wrinkle or Fold
A thin rubber film lies on a table. Someone grabs it by the middle and slowly pulls upward. The film doesn't just rise: it arches into a dome, then wrinkles run along the dome's edge, like pleats on a skirt. Pull higher — the wrinkles gather into large folds that cross the entire film. And if you start lowering it, the folds don't disappear but collapse into new shapes.
Balloon Drop: How Elasticity Makes a Liquid Bounce Off Whole
A water droplet falls onto a lotus leaf and bounces off without leaving a trace. Nature has perfected this self-cleaning marvel over millions of years, and engineers have long tried to replicate it. But if the droplet hits too fast, it shatters into splashes, losing mass and leaving wet marks on the surface.