Difference-Based Deep Learning Framework for Stress Predictions in Heterogeneous Media

TL;DR

This paper introduces a novel difference-based deep learning framework called DiNN for efficiently predicting stress distributions in heterogeneous media, especially in complex composite materials with high stress concentrations, reducing computational costs compared to traditional FEA.

Contribution

The paper presents the first application of difference-based neural networks for stress prediction in heterogeneous media, improving accuracy over existing methods.

Findings

DiNN significantly outperforms existing models in accuracy.

DiNN effectively captures high stress concentrations in composite materials.

The approach reduces computational costs compared to FEA.

Abstract

Stress analysis of heterogeneous media, like composite materials, using Finite Element Analysis (FEA) has become commonplace in design and analysis. However, determining stress distributions in heterogeneous media using FEA can be computationally expensive in situations like optimization and multi-scaling. To address this, we utilize Deep Learning for developing a set of novel Difference-based Neural Network (DiNN) frameworks based on engineering and statistics knowledge to determine stress distribution in heterogeneous media, for the first time, with special focus on discontinuous domains that manifest high stress concentrations. The novelty of our approach is that instead of directly using several FEA model geometries and stresses as inputs for training a Neural Network, as typically done previously, we focus on highlighting the differences in stress distribution between different input samples for improving the accuracy of prediction in heterogeneous media. We evaluate the performance of DiNN frameworks by considering different types of geometric models that are commonly used in the analysis of composite materials, including volume fraction and spatial randomness. Results show that the DiNN structures significantly enhance the accuracy of stress prediction compared to existing structures, especially for composite models with random volume fraction when localized high stress concentrations are present.