# LSWR_loss_function_PINN

**Repository Path**: happtain/LSWR_loss_function_PINN

## Basic Information

- **Project Name**: LSWR_loss_function_PINN
- **Description**: copy from https://github.com/JinshuaiBai/LSWR_loss_function_PINN/
- **Primary Language**: Unknown
- **License**: Not specified
- **Default Branch**: main
- **Homepage**: None
- **GVP Project**: No

## Statistics

- **Stars**: 0
- **Forks**: 0
- **Created**: 2025-12-04
- **Last Updated**: 2025-12-04

## Categories & Tags

**Categories**: Uncategorized

**Tags**: None

## README

# LSWR_loss_function_PINN
This repository provides numerical examples of the Least Squares Weighted Residual loss function for physics-informed neural network-based computational solid mechanics framework. 

Numerical examples include:
 - 2D pure bending beam problem
 - 2D in-plain stretching preforated plate problem
 - 3D streching cube with a sphere hollow problem

Information regarding the numerical examples, please refer to our paper.

# Enviornmental settings
 - TensorFlow  2.8.0 
 - Keras       2.8.0
 - SciPy       1.8.0
 
# Paper link
https://doi.org/10.1007/s00466-022-02252-0

# Cite as
[1] J. Bai, T. Rabczuk, A. Gupta, L. Alzubaidi, Y. Gu, A Physics-Informed Neural Network technique based on a modified loss function for computational 2D and 3D solid mechanics, Computational Mechanics, (2022).