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Related Concept Videos

Mohr's Circle for Plane Strain01:18

Mohr's Circle for Plane Strain

594
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...
594

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Related Experiment Video

Updated: Aug 4, 2025

Generation of Three-Dimensional Spheroids/Organoids from Two-Dimensional Cell Cultures Using a Novel Stamp Device
05:40

Generation of Three-Dimensional Spheroids/Organoids from Two-Dimensional Cell Cultures Using a Novel Stamp Device

Published on: March 28, 2025

578

A circle/sphere populating method to generate 2D/3D stochastic microstructures.

Yilin Li1, Dedao Liu1, Wenyi Yan1

  • 1Department of Mechanical and Aerospace Engineering, Monash University, Clayton, VIC, 3800, Australia.

Heliyon
|April 7, 2023
PubMed
Summary
This summary is machine-generated.

A novel circle/sphere populating method generates 2D/3D stochastic microstructures with clear features. This approach offers computational efficiency and control over microstructure morphology without optimization processes.

Keywords:
Circle/sphere populatingCircular/spherical featuresClustering and agglomeratingStochastic 2D/3D microstructure reconstruction

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Area of Science:

  • Materials Science
  • Computational Modeling
  • Geology

Background:

  • Stochastic microstructures are crucial for material properties.
  • Existing methods for generating microstructures have limitations in feature clarity and control.

Purpose of the Study:

  • To propose a new circle/sphere populating method for generating 2D/3D stochastic microstructures.
  • To compare the proposed method with existing techniques (QSGS, random circle/sphere).
  • To investigate the influence of input parameters on microstructure generation.

Main Methods:

  • Utilizing circles/spheres as basic elements for microstructure generation.
  • Implementing a populating process starting from random cores.
  • Controlling the process with parameters like volume fraction, size distribution, and spatial distribution.

Main Results:

  • The proposed method generates microstructures with superior feature geometry and boundary definition compared to QSGS and random methods.
  • Parametric studies demonstrate control over feature clustering, agglomeration, and overall morphology.
  • Successful application in generating sandstone microstructures and analyzing permeability.

Conclusions:

  • The circle/sphere populating method provides an efficient and accurate way to generate diverse stochastic microstructures.
  • It allows for precise control over microstructural features without requiring annealing-based optimization.
  • The method is versatile, applicable to various materials and analyses, including permeability prediction.