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

Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

441
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...
441
Generalized Hooke's Law01:22

Generalized Hooke's Law

2.9K
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...
2.9K
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

651
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.
651
Bending of Members Made of Several Materials01:11

Bending of Members Made of Several Materials

657
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 material's...
657
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

557
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...
557
Hooke's Law01:26

Hooke's Law

1.7K
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.
1.7K

You might also read

Related Articles

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

Sort by
Same author

Mechanical behaviour of triaxial flat braided soft tissue repair devices.

Journal of the mechanical behavior of biomedical materials·2026
Same author

A multiscale theory for network advection- reaction-diffusion.

Journal of mathematical biology·2026
Same author

A universal phase-plane model for in vivo protein aggregation.

The Journal of chemical physics·2026
Same author

Dynamical <math><mi>A</mi> <mi>β</mi></math> -Tau-Neurodegeneration Model Predicts Alzheimer's Disease Mechanisms and Biomarker Progression.

bioRxiv : the preprint server for biology·2026
Same author

From reductionism to realism: holistic mathematical modelling for complex biological systems.

Journal of the Royal Society, Interface·2025
Same author

Neuronal activity and amyloid-β promote tau seeding in the entorhinal cortex in Alzheimer's disease.

Brain : a journal of neurology·2025
Same journal

Computational modelling distinguishes diverse contributors to aneurysmal progression in the Marfan aorta.

Proceedings. Mathematical, physical, and engineering sciences·2025
Same journal

Inferring the shape of data: a probabilistic framework for analysing experiments in the natural sciences.

Proceedings. Mathematical, physical, and engineering sciences·2023
Same journal

The Elbert range of magnetostrophic convection. I. Linear theory.

Proceedings. Mathematical, physical, and engineering sciences·2022
Same journal

Soft wetting with (a)symmetric Shuttleworth effect.

Proceedings. Mathematical, physical, and engineering sciences·2022
Same journal

The quantum theory of time: a calculus for q-numbers.

Proceedings. Mathematical, physical, and engineering sciences·2022
Same journal

Integrable nonlinear evolution equations in three spatial dimensions.

Proceedings. Mathematical, physical, and engineering sciences·2022
See all related articles

Related Experiment Video

Updated: Mar 2, 2026

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

1.7K

Microstructure-based hyperelastic models for closed-cell solids.

L Angela Mihai1, Hayley Wyatt1, Alain Goriely2

  • 1School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF24 4AG, UK.

Proceedings. Mathematical, Physical, and Engineering Sciences
|May 10, 2017
PubMed
Summary
This summary is machine-generated.

Mesoscopic continuum models accurately predict the mechanical behavior of cellular structures under large elastic deformations. These models capture macroscopic stiffening as cell-core stiffness increases, validated by finite-element simulations.

Keywords:
cellular solidsconstitutive responsesfinite-element simulationhyperelastic modellarge strain deformationmicrostructural behaviour

More Related Videos

Experimental and Data Analysis Workflow for Soft Matter Nanoindentation
13:04

Experimental and Data Analysis Workflow for Soft Matter Nanoindentation

Published on: January 18, 2022

4.9K
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

Related Experiment Videos

Last Updated: Mar 2, 2026

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

1.7K
Experimental and Data Analysis Workflow for Soft Matter Nanoindentation
13:04

Experimental and Data Analysis Workflow for Soft Matter Nanoindentation

Published on: January 18, 2022

4.9K
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

Area of Science:

  • * Mechanics of Materials
  • * Computational Solid Mechanics
  • * Continuum Mechanics

Background:

  • * Cellular structures are crucial in engineering applications, often undergoing large elastic deformations.
  • * Understanding their mechanical response requires models that integrate geometry and microstructural behavior.
  • * Existing models may not fully capture the complex interplay between constituent properties and overall structural response.

Purpose of the Study:

  • * To develop and analyze mesoscopic continuum models for cellular bodies experiencing large elastic deformations.
  • * To investigate the interplay between geometry and microstructural responses in these materials.
  • * To compare model predictions with finite-element simulations for validation.

Main Methods:

  • * Development of mesoscopic continuum models incorporating constituent properties and geometry.
  • * Establishment of constitutive restrictions for physical plausibility.
  • * Derivation of global descriptors like elastic moduli and Poisson's ratio.
  • * Comparison with finite-element simulations of 3D periodic cellular structures.

Main Results:

  • * Mesoscopic models successfully capture the mechanical responses of cellular structures under large tension.
  • * The models accurately predict macroscopic stiffening with increasing cell-core stiffness.
  • * Finite-element simulations validate the predictive capabilities of the developed mesoscopic models.

Conclusions:

  • * Mesoscopic continuum models provide a robust framework for analyzing large deformation mechanics in cellular materials.
  • * These models effectively link microstructural characteristics to macroscopic mechanical properties.
  • * The findings offer valuable insights for designing and optimizing cellular structures with tailored mechanical responses.