What is Matlab code for Gyroid lattice structure for Heat application ?

How to design Gyroid lattice structure using matlab?

What are the major paramaters have to be selected ?

[Rahul]

Dear sir,

Thanks for this kindly guideline.Best wish for yours progressive research work.

Thanks sir.

Answer 1

[Ashutosh Thakur]

Hi Rahul,

While creating a Gyroid lattice structure in MATLAB, It involves making a 3D model of the Gyroid surface, which forms complex, repeating patterns. Key factors to consider are the unit cell size, the resolution, and any scaling or transformations.

I am attaching the sample code below which may help you in designing Gyroid lattice in MATLAB:

% Important Parameters
unitCellSize = 2 * pi; % Size of the unit cell
resolution = 50; % Number of points along each axis
t = 0; % Threshold parameter for the Gyroid function

% Create a 3D grid of points
[x, y, z] = meshgrid(linspace(-unitCellSize, unitCellSize, resolution));

% Evaluate the Gyroid function
gyroid = sin(x) .* cos(y) + sin(y) .* cos(z) + sin(z) .* cos(x);

% Create an isosurface for the Gyroid structure
isosurfaceValue = t;
p = patch(isosurface(x, y, z, gyroid, isosurfaceValue));

% Set the properties of the patch
p.FaceColor = 'cyan';
p.EdgeColor = 'none';

% Add lighting and adjust the view
camlight; 
lighting phong;
axis equal;
xlabel('X');
ylabel('Y');
zlabel('Z');
title('Gyroid Lattice Structure');

I am also attaching some reference links regarding plotting of Gyroid lattice in MATLAB.

• https://www.mathworks.com/matlabcentral/answers/510462-3d-plotting-of-a-spherical-gyroid-with-thickness
• https://www.youtube.com/watch?v=uvCfVsFAcSw

I hope this helps you!