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Related Concept Videos

Angle of Twist - Elastic Range01:13

Angle of Twist - Elastic Range

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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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Mechanisms of Membrane-bending01:15

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The living membranes are flexible due to their fluid mosaic nature; however, their bending into different shapes is an active process regulated by specific lipids and proteins. The membrane bending can be transient as seen in vesicles or stable for a long time as in microvilli. Cells regulate the size, location, and duration of the membrane curvature.
Membrane bending can happen due to intrinsic changes in lipid composition or extrinsic association with different proteins. The proteins involved...
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Unsymmetric Bending01:18

Unsymmetric Bending

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Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The...
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Mohr's Circle for Plane Stress01:23

Mohr's Circle for Plane Stress

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Mohr's circle is a graphical method for identifying the state of stress at a point in a material, making it easier to analyze stress transformations under plane stress conditions. This two-dimensional technique visualizes both normal and shearing stresses on an element.
Consider a set of Cartesian coordinates. The horizontal and vertical axes correspond to normal stress (σ) and shearing stress (τ), respectively. Two points, points A and B, are defined by the normal and shear...
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Angle of Twist: Problem Solving01:13

Angle of Twist: Problem Solving

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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...
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Mohr's Circle for Plane Strain01:18

Mohr's Circle for Plane Strain

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Mohr's circle is a crucial graphical method used to analyze plane strain by plotting strain on a set of cartesian coordinates, where the abscissa is normal strain ∈ and the ordinate is shear strain γ. Similarly to Mohr’s circle for plane stress, two points X and Y are plotted. Their coordinates are (∈x, -γXY) and (∈Y, γXY), respectively.
Mohr's circle visually represents the strain states under various conditions, which is essential for...
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Twist-on-Twist Moiré Elastic Metasurfaces.

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Researchers developed a "twist-on-twist" method for elastic metasurfaces, enabling unidirectional wave propagation and a robust magic angle. This breakthrough offers new possibilities for controlling topological elastic waves.

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Area of Science:

  • Metamaterials Science
  • Condensed Matter Physics
  • Wave Phenomena

Background:

  • The principles of twistronics and magic angle phenomena have expanded beyond electron systems.
  • These concepts have driven advancements in optics, acoustics, and heat transport.
  • A persistent challenge is achieving unidirectional or omnidirectional magic angles in twisted bilayer metasurfaces.

Purpose of the Study:

  • To propose and validate a novel "twist-on-twist" paradigm for elastic metasurfaces.
  • To achieve unidirectional propagation and a robust magic angle for elastic out-of-plane waves.
  • To enable control over wave propagation at arbitrary directions.

Main Methods:

  • Implementation of a "twist-on-twist" configuration in elastic metasurfaces.
  • Stacking twisted bilayers with additional twisting of meta-atoms in one layer to break out-of-plane symmetry.
  • Experimental validation of the proposed metasurface design.

Main Results:

  • Demonstration of unidirectional propagation of elastic out-of-plane waves.
  • Realization of a robust magic angle at arbitrary directions.
  • Significant enhancement of out-of-plane symmetry breaking through the "twist-on-twist" approach.

Conclusions:

  • The "twist-on-twist" paradigm effectively controls topological elastic wave propagation.
  • This method offers versatile potential for twisted thin composite materials.
  • Opens new avenues for photonic, phononic, and thermal moiré metamaterials.