Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Hooke's Law01:26

Hooke's Law

1.9K
Hooke's law, a pivotal principle in material science, establishes that the strain a material undergoes is directly proportional to the applied stress, defined by a factor called the modulus of elasticity or Young's modulus.
1.9K
Generalized Hooke's Law01:22

Generalized Hooke's Law

3.2K
The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
3.2K
Euler's Formula to Columns: Problem Solving01:23

Euler's Formula to Columns: Problem Solving

1.1K
Euler's formula is used in structural engineering to determine the buckling load of columns under various conditions. However, when dealing with systems that incorporate both rigid elements and elastic components, such as springs, the analysis requires a finer approach to determine the critical load. The problem described involves two rigid bars connected at a pivot point with a spring attached and a vertical load applied at one end.
The system comprises two vertical rigid bars, AB and BC, of...
1.1K
Circular Shaft - Stresses in Linear Range01:13

Circular Shaft - Stresses in Linear Range

843
Consider a scenario where a circular shaft is subject to torque that remains within the boundaries of Hooke's Law, avoiding any permanent deformation. So, the formula for shearing strain is revisited. This formula is multiplied by the modulus of rigidity, and then Hooke's Law for the shearing stress and strain is applied. As a result, the equation for shearing stress in a shaft can be derived.
843
Stability of structures01:14

Stability of structures

609
In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
609
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

748
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.
748

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

From public weather narratives to solar-market risk decisions using constrained language-model features.

Scientific reports·2026
Same author

Plasma-induced pre-oxidation of ultrathin aluminum layers for enhanced oxidation resistance of copper nanofilms.

Nanoscale·2026
Same author

Green Electrosynthesis of Formamide: CN Bond Construction From Plastic Waste and Ammonia.

ChemSusChem·2026
Same author

Programmable direct-patterning assembly enables high-density and surface-conformal integration of fiber Bragg grating sensor arrays.

Nature communications·2026
Same author

Alkylsilane-extended hydrogen migration enhanced photothermal Sabatier reaction.

Nature communications·2026
Same author

Author Correction: A hollow-tube-like hydrospongel for multimodal therapy of advanced colorectal cancer.

Nature communications·2026

Related Experiment Video

Updated: Apr 6, 2026

Scalable Nanohelices for Predictive Studies and Enhanced 3D Visualization
08:03

Scalable Nanohelices for Predictive Studies and Enhanced 3D Visualization

Published on: November 12, 2014

11.0K

Does Hooke's law work in helical nanosprings?

Sudong Ben1, Junhua Zhao, Timon Rabczuk

  • 1Jiangsu Key Laboratory of Advanced Manufacturing Equipment and Technology of Food, Jiangnan University, 214122, Wuxi, China. junhua.zhao@163.com.

Physical Chemistry Chemical Physics : PCCP
|July 28, 2015
PubMed
Summary

Helical carbon nanotubes exhibit significant nonlinear force-displacement behavior, deviating from Hooke's law even at small displacements. This nonlinearity is primarily driven by van der Waals interactions between nanotube walls.

More Related Videos

DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers
08:00

DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers

Published on: October 25, 2017

7.4K
Stretching Short Sequences of DNA with Constant Force Axial Optical Tweezers
08:48

Stretching Short Sequences of DNA with Constant Force Axial Optical Tweezers

Published on: October 13, 2011

13.6K

Related Experiment Videos

Last Updated: Apr 6, 2026

Scalable Nanohelices for Predictive Studies and Enhanced 3D Visualization
08:03

Scalable Nanohelices for Predictive Studies and Enhanced 3D Visualization

Published on: November 12, 2014

11.0K
DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers
08:00

DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers

Published on: October 25, 2017

7.4K
Stretching Short Sequences of DNA with Constant Force Axial Optical Tweezers
08:48

Stretching Short Sequences of DNA with Constant Force Axial Optical Tweezers

Published on: October 13, 2011

13.6K

Area of Science:

  • Physics
  • Materials Science
  • Nanotechnology

Background:

  • Hooke's law describes the linear elastic behavior of springs, where force is proportional to displacement.
  • This law is generally applicable to macroscopic springs within their elastic limits.
  • The mechanical properties of nanoscale materials, like carbon nanotubes, can exhibit unique behaviors not seen at larger scales.

Purpose of the Study:

  • To investigate the force-displacement relationship of tightly wound helical carbon nanotubes.
  • To identify the underlying physical mechanisms responsible for the observed mechanical behavior.
  • To explore deviations from Hooke's law at the nanoscale.

Main Methods:

  • Utilized a molecular mechanics model to simulate the behavior of helical carbon nanotubes.
  • Developed analytical expressions to understand the force-displacement characteristics.
  • Analyzed the influence of intertube interactions on the nanospring response.

Main Results:

  • Observed a sharp nonlinear force-displacement relation in helical carbon nanotubes, even at small displacements.
  • Demonstrated that van der Waals (vdW) interactions between nanotube walls are the dominant factor causing this nonlinearity.
  • Quantified the contribution of vdW forces to the nonlinear mechanical response.

Conclusions:

  • Helical carbon nanotubes display significant nonlinearity, challenging the universal applicability of Hooke's law at the nanoscale.
  • Van der Waals interactions are critical in governing the unique mechanical properties of these nanosprings.
  • This research provides fundamental physical insights into the origin of extreme nonlinearity in helical nanostructures.