spinodoid

Below is a demonstration of the features of the spinodoid function

Syntax
Description
Examples
Example 1: Isotropic spinodoid
Example 2: Lamellar spinodoid
Example 3: Columnar spinodoid
Example 4: Cubic spinodoid

clear; close all; clc;

Syntax

[F,V,C]=spinodoid(M,IND,ptype);

Description

----------------------------------------------------------------------- This function generates Spinodoid microstructures which are non-periodic and stochastic bi-continous microstructures that approximate the topology observed in spinodal decomposition. The microstructures are generated using a Gaussian random field (GRF) and can be made anisotropic by tuning the anisotropy of the GRF.

Based on / how to cite: Kumar, S., Tan, S., Zheng, L., Kochmann, D.M. Inverse-designed spinodoid metamaterials. npj Comput Mater 6, 73 (2020). https://doi.org/10.1038/s41524-020-0341-6

Input structure and default values: inputStruct.isocap=true; % option to cap the isosurface inputStruct.domainSize=1; % domain size inputStruct.resolution=60; % resolution for sampling GRF inputStruct.waveNumber=10*pi; % GRF wave number inputStruct.numWaves=1000; % number of waves in GRF inputStruct.relativeDensity=0.5; % relative density: between [0.3,1] inputStruct.thetas=[15 15 15]; % conical half angles (in degrees) along xyz axes for controlling the anisotropy. Note: each entry must be either 0 or between [15,90] degrees.

Original author: Siddhant Kumar, September 2020 (contact: [email protected]) -----------------------------------------------------------------------

Examples

Plot settings

cMap=parula(250);
faceAlpha1=1;
faceAlpha2=0.5;
edgeColor1='none';
edgeColor2='none';
fontSize=15;

Example 1: Isotropic spinodoid

inputStruct.isocap=true; % option to cap the isosurface
inputStruct.domainSize=1; % domain size
inputStruct.resolution=100; % resolution for sampling GRF
inputStruct.waveNumber=15*pi; % GRF wave number
inputStruct.numWaves=1000; % number of waves in GRF
inputStruct.relativeDensity=0.5; % relative density: between [0.3,1]
inputStruct.thetas=[90 0 0]; % conical half angles (in degrees) along xyz

% Create spinodoid
[F,V,C]=spinodoid(inputStruct);

% Using grouping to keep only largest group
groupOptStruct.outputType='label';
[G,~,groupSize]=tesgroup(F,groupOptStruct); %Group connected faces
[~,indKeep]=max(groupSize); %Index of largest group

%Keep only largest group
F=F(G==indKeep,:); %Trim faces
C=C(G==indKeep,:); %Trim color data
[F,V]=patchCleanUnused(F,V); %Remove unused nodes

% Visualize surface
cFigure;
gpatch(F,V,C,'none');
axisGeom; camlight headlight;
colormap gjet; icolorbar;
gdrawnow;

Example 2: Lamellar spinodoid

inputStruct.isocap=true; % option to cap the isosurface
inputStruct.domainSize=1; % domain size
inputStruct.resolution=100; % resolution for sampling GRF
inputStruct.waveNumber=15*pi; % GRF wave number
inputStruct.numWaves=1000; % number of waves in GRF
inputStruct.relativeDensity=0.5; % relative density: between [0.3,1]
inputStruct.thetas=[0 0 30]; % conical half angles (in degrees) along xyz

% Create spinodoid
[F,V,C]=spinodoid(inputStruct);

% Using grouping to keep only largest group
groupOptStruct.outputType='label';
[G,~,groupSize]=tesgroup(F,groupOptStruct); %Group connected faces
[~,indKeep]=max(groupSize); %Index of largest group

%Keep only largest group
F=F(G==indKeep,:); %Trim faces
C=C(G==indKeep,:); %Trim color data
[F,V]=patchCleanUnused(F,V); %Remove unused nodes

% Visualize surface
cFigure;
gpatch(F,V,C,'none');
axisGeom; camlight headlight;
colormap gjet; icolorbar;
gdrawnow;

Example 3: Columnar spinodoid

inputStruct.isocap=true; % option to cap the isosurface
inputStruct.domainSize=1; % domain size
inputStruct.resolution=100; % resolution for sampling GRF
inputStruct.waveNumber=15*pi; % GRF wave number
inputStruct.numWaves=1000; % number of waves in GRF
inputStruct.relativeDensity=0.5; % relative density: between [0.3,1]
inputStruct.thetas=[20 15 0]; % conical half angles (in degrees) along xyz

% Create spinodoid
[F,V,C]=spinodoid(inputStruct);

% Using grouping to keep only largest group
groupOptStruct.outputType='label';
[G,~,groupSize]=tesgroup(F,groupOptStruct); %Group connected faces
[~,indKeep]=max(groupSize); %Index of largest group

%Keep only largest group
F=F(G==indKeep,:); %Trim faces
C=C(G==indKeep,:); %Trim color data
[F,V]=patchCleanUnused(F,V); %Remove unused nodes

% Visualize surface
cFigure;
gpatch(F,V,C,'none');
axisGeom; camlight headlight;
colormap gjet; icolorbar;
gdrawnow;

Example 4: Cubic spinodoid

inputStruct.isocap=true; % option to cap the isosurface
inputStruct.domainSize=1; % domain size
inputStruct.resolution=100; % resolution for sampling GRF
inputStruct.waveNumber=15*pi; % GRF wave number
inputStruct.numWaves=1000; % number of waves in GRF
inputStruct.relativeDensity=0.5; % relative density: between [0.3,1]
inputStruct.thetas=[20 20 20]; % conical half angles (in degrees) along xyz

% Create spinodoid
[F,V,C]=spinodoid(inputStruct);

% Using grouping to keep only largest group
groupOptStruct.outputType='label';
[G,~,groupSize]=tesgroup(F,groupOptStruct); %Group connected faces
[~,indKeep]=max(groupSize); %Index of largest group

%Keep only largest group
F=F(G==indKeep,:); %Trim faces
C=C(G==indKeep,:); %Trim color data
[F,V]=patchCleanUnused(F,V); %Remove unused nodes

% Visualize surface
cFigure;
gpatch(F,V,C,'none');
axisGeom; camlight headlight;
colormap gjet; icolorbar;
gdrawnow;

GIBBON www.gibboncode.org

Kevin Mattheus Moerman, [email protected]

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License: https://github.com/gibbonCode/GIBBON/blob/master/LICENSE

GIBBON: The Geometry and Image-based Bioengineering add-On. A toolbox for image segmentation, image-based modeling, meshing, and finite element analysis.

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