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Related Concept Videos

Unsymmetric Bending01:18

Unsymmetric Bending

501
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...
501
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

151
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...
151
Bending of Material: Problem Solving01:09

Bending of Material: Problem Solving

274
In this lesson, determine the ratio of the maximum bending moments applied to two metal pipes, given that both pipes can withstand a maximum stress of 100 MPa. Both pipes have an outer radius of 1.8 cm. Pipe A has an inner radius of 1.5 cm, and Pipe B has an inner radius of 1 cm. The ratio of the maximum bending moment applied to two metallic pipes, each with a different inner and outer radius, is determined by considering their dimensions. The inner radius of the first pipe is 1.5 cm, and for...
274
Bending of Members Made of Several Materials01:08

Bending of Members Made of Several Materials

309
In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
309
Bending of Curved Members - Neutral Surface01:16

Bending of Curved Members - Neutral Surface

271
In curved beams, unlike straight beams, the stress distribution across the cross-section is not uniform due to the beam's curvature. This non-uniformity arises because the neutral axis, where stress is zero, does not align with the centroid of the section. In a curved beam, the strain varies along the section as a function of the distance from the neutral axis.
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within...
271

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Related Experiment Video

Updated: Oct 5, 2025

4D Printed Bifurcated Stents with Kirigami-Inspired Structures
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Boundary curvature guided programmable shape-morphing kirigami sheets.

Yaoye Hong1, Yinding Chi1, Shuang Wu1

  • 1Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC, 27695, USA.

Nature Communications
|January 27, 2022
PubMed
Summary
This summary is machine-generated.

This study simplifies 3D shape design using kirigami by programming cut boundary curvature, not complex patterns. This enables novel applications in soft robotics and wearable devices.

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Area of Science:

  • Materials Science
  • Robotics
  • Applied Physics

Background:

  • Kirigami, a paper-cutting art, enables 2D to 3D shape transformation via controlled deformation.
  • Current kirigami methods for complex 3D shapes require intricate cut patterns, complicating inverse design.
  • The Gauss-Bonnet theorem relates boundary geodesic curvature to Gaussian curvature, offering a new design principle.

Purpose of the Study:

  • To develop a simplified inverse design strategy for 3D kirigami shapes.
  • To leverage programmed boundary curvature for predictable 2D-to-3D shape morphing.
  • To explore novel applications of curvature-programmed kirigami in soft robotics and wearables.

Main Methods:

  • Utilized the Gauss-Bonnet theorem to correlate boundary curvature with target 3D shapes.
  • Developed a method to program the curvature of cut boundaries in kirigami sheets.
  • Implemented both forward and inverse design approaches based on boundary curvature programming.

Main Results:

  • Successfully demonstrated a simplified inverse design process for 3D kirigami.
  • Achieved predictable 2D-to-3D shape morphing by controlling boundary curvature.
  • Showcased applications including a universal soft gripper and conformable heaters.

Conclusions:

  • Programming boundary curvature offers a simplified and effective approach to kirigami design.
  • This strategy enables the creation of shape-programmable materials for advanced applications.
  • The method holds significant potential for soft robotics, wearable devices, and delicate object manipulation.