poromat 0.1.0

Stress-strain prediction with porosity-aware models (Interpolation, LightGBM, Meta_learning)

poromat

A Python package for modeling stress–strain behavior of porous titanium alloys under various strain rates and temperatures, based on extremely limited experimental data.

Project Summary

This project constructs global stress–strain prediction models for porous Ti alloys using only 38 sets of uniaxial compression tests. Guided by the Zener–Arrhenius (ZA) constitutive framework, I implement three regression approaches and evaluate them using a Leave-One-Porosity-Out (LOPO) framework. Generalization performance is statistically compared via Friedman and Nemenyi tests. Meta-learning shows advantages on unseen porosity conditions.

Dataset Structure

Porosity 26

├── 25°C:  [1200, 2300, 3600, 5200]  
├── 100°C: [950, 2200, 3000, 4200]  
├── 200°C: [1050, 1500, 1950, 2800, 3800]  
└── 300°C: [1100, 1900, 2900, 3700]  

Porosity 36

├── 25°C:  [1000, 2000, 3000]  
├── 100°C: [1300, 2050, 2350, 3400, 3700]  
└── 300°C: [1000, 2000, 3000, 4000, 4500]  

Data Source:

Liu, Z., Ji, F., Wang, M., & Zhu, T. (2017).
One-Dimensional Constitutive Model for Porous Titanium Alloy at Various Strain Rates and Temperatures. Metals, 7(1), 24.
https://doi.org/10.3390/met7010024

Regression Methods

1. Adaboost + Decision Tree (Smoothed)
   Custom interpolator with smoothing, performing interpolation across strain rate, temperature, and porosity dimensions.

2. LightGBM
   Gradient boosting regression on standardized features, trained directly on the limited dataset.

3. Meta-learning (MAML)
   Two hidden layers (see code) trained using learn2learn for fast adaptation to new porosity conditions.
   Supports credible intervals via MC Dropout.

Installation

pip install poromat

Quick Start

import poromat

poromat.plot(16, 300, 3300, step=0.002, method="meta")

poromat.save_csv(16, 300, 3000, step=0.002, method="meta")

strain, stress, stress_lower, stress_upper = poromat.generate_prediction(
    model_name="meta",
    porosity=16,
    T=300,
    rate=3000,
    show_plot=True
)

Key Functions

Function	Description
poromat.plot()	Plot stress–strain curve, with optional uncertainty (only for "meta" model)
poromat.save_csv()	Save predicted strain and stress values to CSV file
generate_prediction()	Predict stress–strain curve using one of the regression models (meta, lightgbm, or interpolation)

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Purpose

Designed for materials scientists studying porous titanium alloys.
This tool enables fast and flexible access to mechanical response predictions under varying testing conditions, helping reduce the need for costly and time-consuming mechanical experiments.

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Developer

Yun Zhou (Robbie)
Background in Mechanical Engineering and Applied Data Science.
Email: [e-mail] GitHub: @Green-zy