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Related Concept Videos

Measurements of Strain01:27

Measurements of Strain

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 gauge...
Transformation of Plane Strain01:12

Transformation of Plane Strain

When analyzing elongated structures like bars subjected to uniformly distributed loads, it is essential to understand the transformation of plane strain when coordinate axes are rotated. This transformation helps to assess how material deformation characteristics vary with orientation, which is crucial in materials science and structural engineering.
Under plane strain conditions, typical for members where one dimension significantly exceeds the others, deformations and resultant strains are...
Castigliano's Theorem01:18

Castigliano's Theorem

Castigliano's theorem analyzes displacements and rotations in elastic structures. It relates the derivative of elastic strain energy to the applied forces or moments, allowing for the calculation of deformations. The theorem states that the partial derivative of the total strain energy of a system with respect to a specific load results in the displacement at the point where the load is applied. This principle applies to both forces and moments.
Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

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...
Mohr's Circle for Plane Strain01:18

Mohr's Circle for Plane Strain

Mohr's circle is a crucial graphical method used to analyze plane strain by plotting strain on a set of cartesian coordinates, where the abscissa is normal strain ∈ and the ordinate is shear strain γ. Similarly to Mohr’s circle for plane stress, two points X and Y are plotted. Their coordinates are (∈x, -γXY) and (∈Y, γXY), respectively.
Mohr's circle visually represents the strain states under various conditions, which is essential for understanding material behavior. The center of Mohr's...
Characteristics of Simple Harmonic Motion01:17

Characteristics of Simple Harmonic Motion

The key characteristic of the simple harmonic motion is that the acceleration of the system and, therefore, the net force are proportional to the displacement and act in the opposite direction to the displacement. Additionally, the period and frequency of a simple harmonic oscillator are independent of its amplitude. For example, diving boards move faster or slower based on their thickness. A stiff, thick diving board has a large force constant, which causes it to have a smaller period, while a...

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Related Experiment Video

Updated: Jun 12, 2026

Micro/Nano-scale Strain Distribution Measurement from Sampling Moiré Fringes
06:56

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

Published on: May 23, 2017

Displacement and strain calculations by the phase shift method.

K Andresen

    Applied Optics
    |May 22, 2010
    PubMed
    Summary
    This summary is machine-generated.

    The phase shift method, applied to line gratings, measures local displacement and strain using image grey values, not fringe coordinates. This technique is ideal for automated digital image processing in deformation analysis.

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    Micro/Nano-scale Strain Distribution Measurement from Sampling Moiré Fringes
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    Area of Science:

    • Optical metrology
    • Solid mechanics
    • Digital image processing

    Background:

    • Holographic interferometry commonly uses the phase shift method.
    • Deformation analysis of line gratings traditionally relies on fringe analysis.

    Purpose of the Study:

    • To adapt the phase shift method for analyzing line grating deformation.
    • To determine local displacement and strain from image data.

    Main Methods:

    • Applying the phase shift method to line gratings, utilizing the moire effect.
    • Deriving basic equations from the transmittance function.
    • Calculating theoretical errors via simulation and investigating real errors using plotter-generated gratings.

    Main Results:

    • The phase shift method determines local displacement/strain from grey values of three shifted images.
    • Theoretical and real errors were analyzed for accuracy.
    • The method's suitability for automated processing was confirmed.

    Conclusions:

    • The phase shift method offers an effective alternative for analyzing line grating deformation.
    • It enables precise measurement of local displacement and strain.
    • Its compatibility with digital image processing facilitates automation.