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Related Concept Videos

Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

356
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...
356
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

327
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...
327
True Stress and True Strain01:28

True Stress and True Strain

486
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...
486
Elastic Strain Energy for Normal Stresses01:22

Elastic Strain Energy for Normal Stresses

322
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...
322
Measurements of Strain01:27

Measurements of Strain

2.3K
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...
2.3K
Strain Energy01:13

Strain Energy

644
Strain energy is a fundamental concept in the field of materials science and structural engineering, describing the energy absorbed by a material or structure when it is deformed under load.
Consider a rod that is fixed at one end and subjected to an axial force at the free end. This axial force induces stress within the rod, leading to its elongation. As the axial force increases, so does the elongation of the rod, illustrating a direct relationship between the force applied and the resulting...
644

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Related Experiment Video

Updated: Oct 22, 2025

High-resolution Imaging of Nuclear Dynamics in Live Cells under Uniaxial Tensile Strain
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Energy Resolved Neutron Imaging for Strain Reconstruction Using the Finite Element Method.

Riya Aggarwal1, Michael H Meylan1, Bishnu P Lamichhane1

  • 1School of Mathematics and Physical Sciences, The University of Newcastle, Callaghan, NSW 2308, Australia.

Journal of Imaging
|August 30, 2021
PubMed
Summary
This summary is machine-generated.

A new pulsed neutron imaging method uses finite element analysis to non-destructively map residual strain in materials. This technique provides high-resolution strain field analysis for polycrystalline materials.

Keywords:
energy resolved neutron imagingfinite element methodsstrain tomographytikhonov regularisation

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Area of Science:

  • Materials Science
  • Neutron Scattering
  • Computational Mechanics

Background:

  • Residual strain analysis is crucial for material performance and integrity.
  • Nondestructive techniques are highly desirable for in-situ material characterization.
  • Existing methods may lack the spatial resolution or applicability for complex strain fields.

Purpose of the Study:

  • To develop and validate a novel pulsed neutron imaging technique for residual strain reconstruction.
  • To enable nondestructive analysis of strain fields with high spatial resolution.
  • To improve the accuracy and robustness of strain mapping in polycrystalline materials.

Main Methods:

  • Utilizing a finite element method (FEM) approach for strain reconstruction.
  • Employing a least squares method constrained by equilibrium conditions to ensure a well-posed problem.
  • Validating the technique with simulated data (cantilevered beam) and experimental data (ring-and-plug sample).
  • Comparing results with conventional constant wavelength neutron strain measurements.

Main Results:

  • Successful reconstruction of residual strain from Bragg edge images using the novel FEM technique.
  • Demonstrated high spatial resolution in strain field mapping.
  • Validation of the method against simulated and experimental data, showing good agreement with conventional methods.
  • Tikhonov regularization further enhanced the reconstruction quality.

Conclusions:

  • The developed pulsed neutron imaging technique based on FEM is effective for nondestructive residual strain analysis.
  • The method provides a powerful tool for characterizing strain fields in polycrystalline materials with high resolution.
  • The inclusion of equilibrium constraints and Tikhonov regularization improves the reliability and accuracy of strain reconstruction.