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

Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

183
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
183
Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

184
In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution...
184
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

264
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.
264
Yield Criteria for Ductile Materials under Plane Stress01:25

Yield Criteria for Ductile Materials under Plane Stress

160
In designing structural elements and machine parts using ductile materials, it is crucial to ensure that these components withstand applied stresses without yielding. Yielding is initially determined through a tensile test, which evaluates the material's response to uniaxial stress. However, tensile stress is insufficient when components face biaxial or plane stress conditions This condition requires advanced criteria to predict failure.
The Maximum Shearing Stress Criterion, also known as...
160
Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

95
The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
As the bending moment...
95
Stress Concentrations in Circular Shafts01:18

Stress Concentrations in Circular Shafts

170
Consider the elastic torsion formula, which applies to a circular shaft with a consistent cross-section. This formula assumes that the shaft's ends are loaded with rigid plates firmly attached. However, in many cases, torques are applied to the shaft through mechanisms like flange couplings or gears, which are connected by keys inserted into keyways. This application method modifies the stress distribution near the point of torque application, causing it to deviate from the distributions...
170

You might also read

Related Articles

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

Sort by
Same author

Intraoperative Radiotherapy for Breast Cancer: Long-Term Experience.

Annals of surgical oncology·2026
Same author

Favorable safety outcomes of a perioperative propranolol and etodolac regimen in cancer patients in four randomized controlled trials.

Frontiers in pharmacology·2026
Same author

Removal of radiation-related tattoos among breast cancer survivors using a 20-nanosecond Q-switched Ruby laser.

Lasers in medical science·2026
Same author

4D printing of fully programmable sheets of digital metamaterials.

Soft matter·2026
Same author

Hard and Soft MRI Signs of Nipple-Areolar Complex Involvement in Breast Cancer.

Clinical breast cancer·2026
Same author

Role of Radiotherapy in Elderly Patients (≥65 Years) With Triple-Negative Breast Cancer: A Systematic Review and Meta-Analysis.

European journal of breast health·2025
Same journal

Dynamics of weakly magnetic nanoparticle suspensions near a magnetized sphere.

Soft matter·2026
Same journal

Thermal morphing of inflatable liquid crystal elastomer domes with kirigami-enabled programmability.

Soft matter·2026
Same journal

Correction: Effect of external salt solution concentration on carboxyl dissociation degree (<i>α</i>) and p<i>K</i><sub>a</sub> of weak polyelectrolyte membranes for sustainable technologies.

Soft matter·2026
Same journal

Anomalous dewetting dynamics in active entangled polymer films: flexible chains.

Soft matter·2026
Same journal

Electrorheology of the suspensions of oblate poly(ionic liquid) ellipsoids.

Soft matter·2026
Same journal

Nanopore sequencing with proteins: synchronization and dischronization of molecular dynamics simulations with laboratory and industrial developments.

Soft matter·2026
See all related articles

Related Experiment Video

Updated: Jun 25, 2025

Structural Design and Manufacturing of a Cruiser Class Solar Vehicle
14:57

Structural Design and Manufacturing of a Cruiser Class Solar Vehicle

Published on: January 30, 2019

13.8K

Mechanical design principles in frustrated thin elastic sheets.

Michal Arieli1, Michael Moshe1, Eran Sharon1

  • 1Racah Institute of Physics, The Hebrew University of Jerusalem, Jerusalem, 9190401, Israel. michael.moshe@mail.huji.ac.il.

Soft Matter
|May 20, 2024
PubMed
Summary
This summary is machine-generated.

Researchers developed a geometric framework to engineer the mechanical properties of slender solids. By controlling geometric frustration, materials with unusual behaviors like tunable rigidity can be created for novel applications.

More Related Videos

Knowledge Based Cloud FE Simulation of Sheet Metal Forming Processes
11:05

Knowledge Based Cloud FE Simulation of Sheet Metal Forming Processes

Published on: December 13, 2016

12.2K
A Millimeter Scale Flexural Testing System for Measuring the Mechanical Properties of Marine Sponge Spicules
11:25

A Millimeter Scale Flexural Testing System for Measuring the Mechanical Properties of Marine Sponge Spicules

Published on: October 11, 2017

9.3K

Related Experiment Videos

Last Updated: Jun 25, 2025

Structural Design and Manufacturing of a Cruiser Class Solar Vehicle
14:57

Structural Design and Manufacturing of a Cruiser Class Solar Vehicle

Published on: January 30, 2019

13.8K
Knowledge Based Cloud FE Simulation of Sheet Metal Forming Processes
11:05

Knowledge Based Cloud FE Simulation of Sheet Metal Forming Processes

Published on: December 13, 2016

12.2K
A Millimeter Scale Flexural Testing System for Measuring the Mechanical Properties of Marine Sponge Spicules
11:25

A Millimeter Scale Flexural Testing System for Measuring the Mechanical Properties of Marine Sponge Spicules

Published on: October 11, 2017

9.3K

Area of Science:

  • Solid Mechanics
  • Materials Science
  • Geometric Mechanics

Background:

  • Understanding and controlling the mechanical response of slender solids is crucial for advanced engineering applications.
  • Existing methods often lack a systematic framework for designing specific mechanical properties.
  • Non-Euclidean geometry offers a potential avenue for novel material design.

Purpose of the Study:

  • To develop a systematic theoretical framework for shaping the energy landscape and mechanical response of slender solids.
  • To establish a method for designing materials with desired mechanical properties by manipulating geometric frustration.
  • To explore the creation of solids with anomalous mechanical behaviors.

Main Methods:

  • Utilized a geometric formalism derived from elasticity theory.
  • Expressed global mechanical properties of non-Euclidean thin sheets using local rest lengths and curvatures.
  • Interpreted the formalism as forward and inverse design problems.

Main Results:

  • Demonstrated that geometric frustration can encode anomalous mechanical properties into materials.
  • Derived a family of ribbon-springs exhibiting tunable, anharmonic, and vanishing rigidities.
  • Showcased the potential for designing materials with extreme mechanical behaviors.

Conclusions:

  • The developed geometric formalism provides a systematic pathway for designing mechanical properties of slender solids.
  • The methodology is amenable to discretization, enabling the design of both continuum and discrete structures.
  • This work opens new avenues for the rational design of materials with tailored mechanical responses.