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Related Concept Videos

Angle of Twist - Elastic Range01:13

Angle of Twist - Elastic Range

Consider a cylindrical shaft with a length denoted by L and a consistent cross-sectional radius referred to as r. This shaft undergoes a torque at the free end. The highest shearing strain within the shaft is directly proportional to the twist angle and the radial distance from the shaft axis. When the shaft behaves elastically, this shearing strain can be articulated using variables such as the applied torque, radial distance, the polar moment of inertia, and the modulus of rigidity. By...
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An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the torque exerted...
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Circular shafts undergoing torsional stress maintain their cross-sectional integrity due to their axisymmetric nature. This symmetry ensures an even distribution of stress, allowing the shaft to withstand torsion without distorting. In contrast, square bars, lacking this axial symmetry, experience significant distortion across their cross-sections when subjected to torsion, with the exception of along their diagonals and at lines connecting midpoints. A detailed examination of a cubic element...
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Updated: Jul 8, 2026

Method to Measure Tone of Axial and Proximal Muscle
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Published on: December 14, 2011

Topological Degeneracy Induced by Twisting.

Han Peng1, Qiang Wang1, Meng Xiao2,3

  • 1Nanjing University, National Laboratory of Solid State Microstructures, Jiangsu Physical Science Research Center, School of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, China.

Physical Review Letters
|March 28, 2025
PubMed
Summary
This summary is machine-generated.

Twisting introduces topological degeneracy in physical systems, creating tunable polarization-degenerate birefringent media. This discovery opens new avenues for managing dispersion and polarization in topological photonics.

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Area of Science:

  • Topological photonics
  • Condensed matter physics
  • Materials science

Background:

  • Twisting is an emerging degree of freedom in physical systems, impacting Bloch bands.
  • A gap exists in understanding the nontrivial physics of topological degeneracy in twisted systems.

Purpose of the Study:

  • Investigate the correlation between twisting and topological degeneracy.
  • Explore the potential of twist-induced topological degeneracy in photonic systems.

Main Methods:

  • Theoretical investigation of twisted systems.
  • Analysis of symmetry breaking and degeneracy introduction via twisting.
  • Characterization of the resulting polarization-degenerate birefringent medium.

Main Results:

  • Twisting breaks system symmetry and introduces previously absent topological degeneracy.
  • Topological degeneracy is tunable by altering the twist angle.
  • A novel polarization-degenerate birefringent medium arises from twist-induced topological degeneracy.

Conclusions:

  • Twisting is a key factor in realizing topological degeneracy in photonic systems.
  • The twist angle offers a new control parameter for dispersion and polarization management.
  • This work presents new possibilities for topological physics research in twisted photonics.