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

Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

250
Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
250
Measurements of Strain01:27

Measurements of Strain

1.3K
Strain quantifies the deformation of a material under force, typically measured as normal strain, which represents the change in length when compared with the original length. Electrical strain gauges are used for enhanced accuracy. These devices consist of a conductive wire mounted on a paper backing that adheres to the material's surface. These gauges operate on the piezoresistive effect, where the wire's electrical resistance changes in response to mechanical deformation. The strain...
1.3K
True Stress and True Strain01:28

True Stress and True Strain

347
Engineering stress is calculated as the load divided by the original, undeformed cross-sectional area. It approximates a material under load. This approximation is especially relevant post-yield in ductile materials. Though engineering stress-strain diagrams are often used for their convenience and accessibility, they can sometimes fall short in accuracy, particularly when dealing with large strain values.
In contrast, true stress offers a more precise portrayal. It is computed by dividing the...
347
Elastic Strain Energy for Normal Stresses01:22

Elastic Strain Energy for Normal Stresses

206
Strain energy quantifies the energy stored within a material due to deformation under loading conditions, a fundamental concept in materials science and engineering. The strain energy can be modeled when a material is subjected to axial loading with uniformly distributed stress. In this scenario, the stress experienced by the material is the internal force divided by the cross-sectional area, and the strain induced is directly proportional to this stress through the modulus of elasticity.
If...
206
Stress-Strain Diagram01:10

Stress-Strain Diagram

693
A stress-strain diagram is a crucial tool that graphically displays a material's mechanical characteristics. This diagram is derived from a tensile test performed on a carefully prepared cylindrical specimen. The specimen has two gauge marks inscribed on its central part, and the distance between these marks is known as the gauge length. The cylindrical specimen is placed in a testing machine, which applies an increasing centric load. As this load grows, so does the gauge length. This...
693
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

291
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.
291

You might also read

Related Articles

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

Sort by
Same author

Deconvoluting thermomechanical effects in X-ray diffraction data using machine learning.

Acta crystallographica. Section A, Foundations and advances·2025
Same author

Mapping domain structures near a grain boundary in a lead zirconate titanate ferroelectric film using X-ray nanodiffraction.

Journal of applied crystallography·2024
Same author

Revealing Deformation Mechanisms in Polymer-Grafted Thermoplastic Elastomers via <i>In Situ</i> Small-Angle X-ray Scattering.

ACS applied materials & interfaces·2023
Same author

Combining synchrotron X-ray diffraction, mechanistic modeling and machine learning for <i>in situ</i> subsurface temperature quantification during laser melting.

Journal of applied crystallography·2023
Same author

Kinematic scattering by nanocrystals.

Journal of applied crystallography·2023
Same author

The influence of alloying on slip intermittency and the implications for dwell fatigue in titanium.

Nature communications·2022

Related Experiment Video

Updated: Jul 19, 2025

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

9.7K

Representative volume elements of strain/stress fields measured by diffraction techniques.

Mehmet Hazar Şeren1,2, Darren C Pagan3, Ismail Cevdet Noyan1

  • 1Department of Applied Physics and Applied Mathematics, SEAS, Columbia University, 500W 120th Street, New York, NY 10027, USA.

Journal of Applied Crystallography
|August 9, 2023
PubMed
Summary

Finite-element modeling simulated stresses in W, Cu, and W-Cu alloys. Accurate stress determination requires considering representative volume elements (RVEs) and material uniformity conditions.

Keywords:
diffraction analysispolycrystalline solidsstrainstress

More Related Videos

Micro/Nano-scale Strain Distribution Measurement from Sampling Moir&#233; Fringes
06:56

Micro/Nano-scale Strain Distribution Measurement from Sampling Moiré Fringes

Published on: May 23, 2017

12.3K
Production of a Strain-Measuring Device with an Improved 3D Printer
06:17

Production of a Strain-Measuring Device with an Improved 3D Printer

Published on: January 30, 2020

6.2K

Related Experiment Videos

Last Updated: Jul 19, 2025

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

9.7K
Micro/Nano-scale Strain Distribution Measurement from Sampling Moir&#233; Fringes
06:56

Micro/Nano-scale Strain Distribution Measurement from Sampling Moiré Fringes

Published on: May 23, 2017

12.3K
Production of a Strain-Measuring Device with an Improved 3D Printer
06:17

Production of a Strain-Measuring Device with an Improved 3D Printer

Published on: January 30, 2020

6.2K

Area of Science:

  • Materials Science
  • Computational Mechanics
  • Solid Mechanics

Background:

  • Accurate stress determination in polycrystalline materials is crucial for understanding their mechanical behavior.
  • Diffraction analysis provides average stress information over diffracting domains.
  • Finite-element modeling offers a method to simulate local stress and strain distributions.

Purpose of the Study:

  • To simulate local strains and stresses in polycrystalline W, Cu, and W-Cu slabs using finite-element modeling.
  • To compare direct-space stresses with average stresses computed from simulated diffraction data.
  • To investigate the influence of representative volume elements (RVEs) and uniformity conditions on stress determination.

Main Methods:

  • Finite-element modeling of polycrystalline W, Cu, and W-Cu slabs with free or constrained boundaries.
  • Simulation of elastic strain values in crystallites satisfying diffraction conditions.
  • Computation of average stresses within diffracting domains from simulated lattice strain data.

Main Results:

  • The required representative volume elements (RVEs) for equivalent stress/strain values are dependent on the material's deformation mode.
  • Direct-space and diffraction stress values only agree under strict sampling and strain/stress uniformity conditions.
  • Discrepancies arise when measurement volumes are smaller than the RVE or uniformity conditions are not met.

Conclusions:

  • Accurate determination of applied or residual stress distributions may necessitate advanced experimental and numerical techniques.
  • The choice of RVE and the assessment of strain/stress uniformity are critical for reliable stress analysis.
  • Finite-element modeling provides insights into the relationship between local stresses and diffraction-derived average stresses.