Gyroid Structure

The below code written in the MATLAB® can be used for generating the Gyroid structure.

 %% Program

clc; clear all;

n1 = 2;  % Number of cells in x Direction

n2 = 2;  % Number of cells in y Direction

n3 = 2; % Number of cells in z Direction

 

a=2*n1*pi; % x direction parameters

b=2*n2*pi; % y direction parameters

g=2*n3*pi;  % z direction parameters

 

s=0.01;

 

[x,y,z]=meshgrid(-0.5:s:0.5,-0.5:s:0.5,-0.5:s:0.5);

 

% Gyroid Formula

u = (sin(a.*x).* cos(b.*y) + sin(b.*y).* cos(g.*z) + sin(g.*z).* cos(a.*x));

 

% Level Set equation

c =0.7;

Ts= -(u+c).*(u-c);    % Sheet based Gyroid

Tsk= u + c;        % Skeletal based Gyroid

Isosurface(x,y,z,Ts,0);

Isocaps(x,y,z,Ts,0);

%% Program Ends

If very less knowledge about coding, then the below software can be used for generating Gyroid and other lattice structures.

Using Lattice_Karak  helps in designing various TPMS structures, export them into stl file for further processing like 3D printing and Finite Element analysis.

 

Lattice_Karak can be downloaded using the below links.

https://drive.google.com/file/d/1WWL-UbPzErFCFVFJqw1as9w0M61aMxB4/view?usp=sharing

https://www.mathworks.com/matlabcentral/fileexchange/119883-lattice-structures

 

Videos on how to further use lattice_karak.

 

https://sites.google.com/iith.ac.in/lattice-karak/home