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Angle of Twist - Elastic Range01:13

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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...
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Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
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Nanoparticle-induced twist-grain boundary phase.

Maja Trček1, George Cordoyiannis2, Vassilios Tzitzios3

  • 1Condensed Matter Physics Department, Jožef Stefan Institute, 1000 Ljubljana, Slovenia.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 15, 2014
PubMed
Summary
This summary is machine-generated.

Surface-functionalized cadmium sulfide selenide (CdSSe) nanoparticles induce a twist-grain boundary phase in chiral liquid crystals. These nanoparticles stabilize screw dislocations, influencing molecular ordering and phase transitions.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Nanotechnology

Background:

  • Chiral liquid crystals exhibit complex phase behaviors.
  • Nanoparticles can influence liquid crystal phase transitions.
  • Understanding defect stabilization is crucial for materials design.

Purpose of the Study:

  • To investigate the effect of surface-functionalized CdSSe nanoparticles on chiral liquid crystal phases.
  • To analyze the role of nanoparticles in stabilizing screw dislocation lattices.
  • To explore the mechanisms behind nanoparticle-induced phase stabilization.

Main Methods:

  • High-resolution ac calorimetry.
  • Polarizing optical microscopy.
  • Landau-de Gennes-Ginzburg modeling.

Main Results:

  • Surface-functionalized CdSSe nanoparticles induce a twist-grain boundary phase in chiral liquid crystals.
  • Nanoparticles stabilize the one-dimensional lattice of screw dislocations.
  • The temperature range of screw dislocation organization is widened by nanoparticles.
  • Both defect-core-replacement and saddle-splay elasticity contribute to the observed effects.

Conclusions:

  • CdSSe nanoparticles are effective in inducing and stabilizing specific phases in chiral liquid crystals.
  • The findings provide insights into nanoparticle-liquid crystal interactions and defect stabilization.
  • The study highlights the potential of nanomaterials for controlling liquid crystal phase behavior.