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Related Concept Videos

Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
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Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
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When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
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Micro/Nano-scale Strain Distribution Measurement from Sampling Moir&#233; Fringes
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Probing picometre-scale interlayer deformations via hyperbolic polaritons.

Shu Zhang1,2, Xiangdong Guo3, Xiaowen Zhang4

  • 1Laboratory of Nanophotonic Materials and Devices, Laboratory of Standardization and Measurement for Nanotechnology, CAS Center for Excellence in Nanoscience, National Center for Nanoscience and Technology, Beijing, China.

Nature
|June 17, 2026
PubMed
Summary
This summary is machine-generated.

We developed a new optical method to measure tiny, picometer-scale deformations in van der Waals materials. This technique uses polaritons to visualize hidden strain at interfaces, advancing nanomechanics and photonics.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Nanotechnology

Background:

  • Van der Waals (vdW) materials offer tunable properties via strain engineering.
  • Characterizing out-of-plane strain at the picometer scale, especially at interfaces, is challenging.
  • Existing methods struggle with non-invasive, quantitative analysis of subtle deformations.

Purpose of the Study:

  • To develop a novel, non-invasive optical method for detecting picometer-scale out-of-plane strain in vdW materials.
  • To enable quantitative characterization of interlayer deformations at buried interfaces.
  • To bridge nanomechanics and photonics for precise stress landscape visualization.

Main Methods:

  • Utilizing mid-infrared out-of-plane hyperbolic polaritons (oHPs) in hexagonal boron nitride (hBN).
  • Exploiting the strain-induced softening of 'dark' out-of-plane transverse optical (oTO) phonons activated by oHPs.
  • Achieving atomic displacement sensitivity of approximately 10 pm.

Main Results:

  • Demonstrated a polaritonic optical method for picometer-scale out-of-plane strain detection.
  • Successfully measured interlayer deformations in planar hBN and hBN-based heterostructures.
  • Validated the technique's ability to detect ultradeep-subwavelength mechanical deformations.

Conclusions:

  • The polariton-based picometrology method provides unprecedented sensitivity to interlayer strain.
  • This technique offers a non-destructive way to map hidden stress landscapes with atomic precision.
  • The approach advances the study of mechanical properties in vdW materials and heterostructures.