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

Strain and Elastic Modulus01:15

Strain and Elastic Modulus

The quantity that describes the deformation of a body under stress is known as strain. Strain is given as a fractional change in either length, volume, or geometry under tensile, volume (also known as bulk), or shear stress, respectively, and is a dimensionless quantity. The strain experienced by a body under tensile or compressive stress is called tensile or compressive strain, respectively. In contrast, the strain experienced under bulk stress and shear stress is known as volume and shear...
Elasticity01:12

Elasticity

Elasticity is the ability of an object to withstand the effects of distortion and to return to its original size and shape once the forces causing deformation are removed. When an elastic material deforms under the action of an external force, it experiences internal resistance to the deformation. However, if no external force is applied, it returns to its original state.
The elasticity of an object can be described by a stress-strain curve, which represents the relationship between stress...
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

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.
Plastic Behavior01:21

Plastic Behavior

A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and reloaded.
Elasticity in Concrete01:20

Elasticity in Concrete

Upon subjecting concrete to moderate or high uniaxial compressive or tensile stresses, the strain response is non-linear relative to the stress applied. As the stress is removed, the resulting stress-strain curve deviates from the original path traced during loading, creating a hysteresis loop, indicative of the concrete's non-linear and non-elastic properties. Typically, a material's modulus of elasticity, which is a measure of the material's stiffness, is inferred from the linear portion of...
Crystal Density01:19

Crystal Density

The crystal lattice structure of a material allows us to determine how many molecules exist in its unit cell. With this information, alongside the unit-cell parameters - three distance parameters (a, b, c) and three angular parameters (α, β, γ).Density (ρ) = (Z × M) / (a × b × c × NA)where:Z is the number of formula units per unit cellM is the molar mass of the substancea, b, and c are the edge lengths of the unit cellNA is Avogadro’s numberFor a simple cubic lattice, atoms are located only at...

You might also read

Related Articles

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

Sort by
Same author

[Application and clinical efficacy of ultrasound debridement method in residual burn wounds].

Zhonghua shao shang yu chuang mian xiu fu za zhi·2022
Same author

Clinical and pathologic predictors of central lymph node metastasis in papillary thyroid microcarcinoma: a retrospective cohort study.

Journal of endocrinological investigation·2017
Same author

[Effect of CD40 knock out on cytotoxic effector function in CD8(+) T cell of mice with cigarette smoke-induced emphysema].

Zhonghua yi xue za zhi·2016
Same author

[Effect of CD40 on Foxp3(+) Treg cell in the lung of cigarette smoke exposure mice].

Zhonghua yi xue za zhi·2016
Same author

Altered expression of tumor suppressors p16 and Rb in gastric carcinogenesis.

World journal of gastroenterology·2016
Same author

Obesity, weight change, and risk of adenoma recurrence: a prospective trial.

Endoscopy·2012
Same journal

Topological properties of curved spacetime extended Su-Schrieffer-Heeger model.

Journal of physics. Condensed matter : an Institute of Physics journal·2026
Same journal

Influence of lattice expansion on Cr ferromagnetism in Ce<sub>(1-x)</sub>La<sub>(x)</sub>CrGe<sub>3</sub>compounds revealed by atomic-scale measurements.

Journal of physics. Condensed matter : an Institute of Physics journal·2026
Same journal

Bond-length-driven magnetic transition in quasi-one-dimensional CrSb<i>X</i><sub>3</sub>(<i>X</i>=S, Se).

Journal of physics. Condensed matter : an Institute of Physics journal·2026
Same journal

Anelasticity in MgAl2O4 spinel due to cation order-disorder.

Journal of physics. Condensed matter : an Institute of Physics journal·2026
Same journal

The influence of water on the dynamics of alternating polymers P(C<sub>8</sub>EG<sub>4</sub>) and P(C<sub>4</sub>EG<sub>4</sub>) by broadband dielectric spectroscopy.

Journal of physics. Condensed matter : an Institute of Physics journal·2026
Same journal

How surface curvature shapes water nanodroplets in air.

Journal of physics. Condensed matter : an Institute of Physics journal·2026
See all related articles

Related Experiment Video

Updated: May 31, 2026

An Externally-Heated Diamond Anvil Cell for Synthesis and Single-Crystal Elasticity Determination of Ice-VII at High Pressure-Temperature Conditions
07:48

An Externally-Heated Diamond Anvil Cell for Synthesis and Single-Crystal Elasticity Determination of Ice-VII at High Pressure-Temperature Conditions

Published on: June 18, 2020

Elasticity in crystals under pressure.

P M Marcus1, S L Qiu

  • 1IBM Research Division, T J Watson Research Center, Yorktown Heights, NY 10598, USA.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|June 23, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces two elastic constant sets for crystals under pressure: c(ij) for stability and c(ij)(p) for stress-strain relations. Calculations for aluminum confirm the Gibbs free energy method for determining elastic constants and crystal stability.

More Related Videos

Stress Distribution During Cold Compression of Rocks and Mineral Aggregates Using Synchrotron-based X-Ray Diffraction
10:36

Stress Distribution During Cold Compression of Rocks and Mineral Aggregates Using Synchrotron-based X-Ray Diffraction

Published on: May 20, 2018

Synthesis and Microdiffraction at Extreme Pressures and Temperatures
07:26

Synthesis and Microdiffraction at Extreme Pressures and Temperatures

Published on: October 7, 2013

Related Experiment Videos

Last Updated: May 31, 2026

An Externally-Heated Diamond Anvil Cell for Synthesis and Single-Crystal Elasticity Determination of Ice-VII at High Pressure-Temperature Conditions
07:48

An Externally-Heated Diamond Anvil Cell for Synthesis and Single-Crystal Elasticity Determination of Ice-VII at High Pressure-Temperature Conditions

Published on: June 18, 2020

Stress Distribution During Cold Compression of Rocks and Mineral Aggregates Using Synchrotron-based X-Ray Diffraction
10:36

Stress Distribution During Cold Compression of Rocks and Mineral Aggregates Using Synchrotron-based X-Ray Diffraction

Published on: May 20, 2018

Synthesis and Microdiffraction at Extreme Pressures and Temperatures
07:26

Synthesis and Microdiffraction at Extreme Pressures and Temperatures

Published on: October 7, 2013

Area of Science:

  • Solid State Physics
  • Materials Science
  • Crystallography

Background:

  • Understanding crystal elasticity and stability under pressure is crucial for materials science.
  • Previous formulations of stress-strain relations under pressure have limitations.

Purpose of the Study:

  • To define and differentiate two sets of elastic constants for crystals under pressure.
  • To verify a new method for calculating elastic constants and assessing crystal stability using Gibbs free energy.
  • To compare the new stress-strain coefficients with existing models.

Main Methods:

  • Development of two distinct sets of elastic constants: c(ij) for stability and c(ij)(p) for stress-strain relations.
  • Utilizing Gibbs free energy (G) as a basis for defining equilibrium and calculating elastic constants.
  • Employing a first-principles numerical calculation for face-centered cubic aluminum (Al) at 1500 kbar.
  • Implementing a computer program to find stable crystal phases by minimizing G.

Main Results:

  • Identified two sets of elastic constants, c(ij) and c(ij)(p), essential for describing elasticity and stability under pressure.
  • Demonstrated that Gibbs free energy provides an efficient method for calculating all elastic constants and defining equilibrium.
  • Calculated 21 elastic constants for Al and tested the 6x6 elastic constant matrix for stability.
  • Showed that the stress-strain coefficients c(ij)(p) differ from previous formulations.

Conclusions:

  • The Gibbs free energy approach offers a robust framework for calculating elastic constants and determining crystal phase stability under pressure.
  • The newly defined stress-strain coefficients, c(ij)(p), provide a more accurate description of crystal elasticity under finite pressure.
  • This work validates a first-principles approach for predicting the elastic behavior and stability of elemental crystals.