Surrogate Models of Stress for Triply Periodic Minimal Surface Lattices

Authors:
Sy Nguyen-Van, Guha Manogharan, Lan-Hsuan Huang, Julián A. Norato

Citation

Sy Nguyen-Van, Guha Manogharan, Lan-Hsuan Huang, Julián A. Norato,
Surrogate models of stress for triply periodic minimal surface lattices,
Computer Methods in Applied Mechanics and Engineering,
Volume 444, 2025, 118119, ISSN 0045-7825.
https://doi.org/10.1016/j.cma.2025.118119
ScienceDirect Article

Keywords

TPMS lattices · Surrogate models · Multi-scale analysis

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Instructions

1. Graphical User Interface (GUI)

To launch the GUI, run:

python Main_GUI_TPMS.py

Note: Ensure tkinter is installed on your system before running the GUI.

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2. Predicting Stress Using Surrogate Models

Use Surrogates_Stress.py to predict stress values.

import matplotlib
import matplotlib.pyplot as plt
from Surrogates_Stress import *

TPMS, Shell_Surface = 'Gyroid', 'Bottom'
F_X, F_Y, F_Z = 10, 10, 10
F_XY, F_XZ, F_YZ = 10, 10, 10
Thick_rho_label, Thick_rho = 'Thickness', 0.1
Poisson_user, Cell_Size = 0.3, 1

fig, Vonmises_max, Sigma_1_max, Sigma_2_max, Shear_max, Density_TPMS, min_thick_rho, max_thick_rho, Unit_18 = Surrogates_Stress(
    TPMS, Shell_Surface, F_X, F_Y, F_Z, F_XY, F_XZ, F_YZ, 
    Thick_rho_label, Thick_rho, Poisson_user, Cell_Size
)
fig

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3. Predicting Elasticity Tensor Using Surrogate Models

Use Surrogates_Homogenization.py to predict the elasticity tensor.

import matplotlib
import matplotlib.pyplot as plt
from Surrogates_Homogenization import *

TPMS = 'Gyroid'
Density_user, Poisson_user, Young_user = 0.1, 0.3, 1119e3

fig, Young, Poisson, Shear, Elasticity_Tensor = Surrogates_Homogenization(
    TPMS, Density_user, Poisson_user, Young_user
)
fig