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Related Concept Videos

Unsymmetric Bending01:18

Unsymmetric Bending

411
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...
411
General Case of Eccentric Axial Loading01:12

General Case of Eccentric Axial Loading

243
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 symmetrical bending, which are essential for designing structures to withstand different loading conditions.
Consider a member subjected to equal and opposite forces that are applied along a line that does not coincide with the member's neutral axis. In unsymmetrical...
243
Eccentric Axial Loading in a Plane of Symmetry01:16

Eccentric Axial Loading in a Plane of Symmetry

270
Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.
270
Plastic Deformations01:14

Plastic Deformations

125
It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield strength. This state of deformation permanently alters the shape of the member, in contrast to the linear elastic behavior observed before yielding. The strain at any point in the member is expressed in terms of maximum strain. Notably, the neutral axis, which coincides with the centroid during elastic bending, shifts away from the centroid under plastic...
125
Unsymmetric Loading of Thin-Walled Members01:23

Unsymmetric Loading of Thin-Walled Members

142
Thin-walled members with non-symmetrical cross-sections are vital to engineering structures, offering material efficiency and structural integrity. However, unsymmetrical loading on these members leads to complex stress distributions, resulting in simultaneous bending and twisting can cause deformation or structural failure. The interaction between bending and twisting requires detailed analysis to ensure structural resilience.
The concept of the shear center is crucial in countering the...
142
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

120
When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
120

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Cutting Procedures, Tensile Testing, and Ageing of Flexible Unidirectional Composite Laminates
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Higher-order topology induced by structural buckling.

Huaqing Huang1,2,3, Feng Liu4

  • 1School of Physics, Peking University, Beijing 100871, China.

National Science Review
|September 12, 2022
PubMed
Summary

Structural buckling of 2D topological crystalline insulators induces higher-order topological insulator states. This mechanism, preserving combined symmetries, offers a new route for discovering robust higher-order topological insulator materials.

Keywords:
buckled honeycomb antimony monolayerhigher-order topological insulatorsrotation-reflection symmetrystructural buckling

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Materials

Background:

  • Higher-order topological insulator (HOTI) states feature topologically protected corner modes.
  • Understanding the formation mechanism of HOTI states is crucial for material discovery.
  • Current understanding of HOTI mechanisms is limited, hindering progress.

Purpose of the Study:

  • To propose a mechanistic approach for inducing higher-order topological phases.
  • To investigate the role of structural buckling in creating HOTI states.
  • To explore the general applicability and robustness of this approach.

Main Methods:

  • Proposing a mechanistic approach via structural buckling of 2D topological crystalline insulators (TCIs).
  • Analyzing symmetry breaking and preservation under buckling.
  • Demonstrating general applicability to various 2D lattices and buckling patterns.
  • Performing first-principles calculations on buckled $\alpha$-Sb monolayer.

Main Results:

  • Structural buckling of 2D TCIs induces higher-order topological phases.
  • Preservation of combined mirror and rotation symmetry drives HOTI formation.
  • The approach is robust against buckling height fluctuation and in-plane displacement.
  • Buckled $\alpha$-Sb monolayer serves as a concrete example of a 2D HOTI.

Conclusions:

  • Structural buckling provides a general route to realize 2D HOTI states.
  • This work enriches the fundamental understanding of higher-order topology.
  • Opens new avenues for the discovery of novel HOTI materials.