Graph Neural Network-based Framework for Structural Wear Prediction: Multi-Convolution Fusion and Message Passing Mechanism

This paper introduces a graph neural network framework for predicting wear at structural mesh nodes. Its core innovation lies in integrating multiple convolution operations (GATv2, GraphSAGE, and GCN) and learning geometric features, material properties, and load conditions through a message passing mechanism, achieving extremely low mean square error in wear prediction tasks. This framework provides an efficient solution for engineering structural health monitoring and is of great significance for preventive maintenance and design optimization.

Structural wear is a complex multi-physics field coupling problem. Traditional finite element analysis has high computational costs and is difficult to apply in real time; traditional machine learning methods tend to lose node topological relationships when processing. Graph Neural Networks (GNNs) can directly handle graph-structured data, where nodes represent mesh points and edges represent connection relationships. They are naturally suitable for describing finite element meshes, preserving spatial topological information and fusing node/edge features.

Core Design

1. Custom Edge Attention Layer: Incorporates edge features (physical distance, material stiffness) into attention calculation to capture the physical connection strength between adjacent nodes.
2. Multi-Convolution Fusion: Integrates GATv2 (dynamic attention), GraphSAGE (sampling aggregation, inductive learning), and GCN (global spectral features) to form complementary feature representations.
3. Message Passing Mechanism: Nodes receive messages from neighbors and update their own representations to achieve multi-scale feature perception.

Data and Training

• Data structure: Supports synthetic/real data. Real data is organized in standard directories (nodes.csv, elements.csv, etc.), and preprocessing fuses node/edge features.
• Training strategy: Adam optimizer with weight decay, ReduceLROnPlateau learning rate scheduling, MSE loss, and early stopping mechanism. Outputs training curves and visualization results.

The model performs excellently on test data:

• Mean Square Error (MSE) ≈ 0.000001
• Mean Absolute Error (MAE) ≈ 0.000756
• Root Mean Square Error (RMSE) ≈ 0.000801

An interactive Streamlit demo interface is provided, supporting configuration of parameters such as mesh size and material properties, real-time training, and visualization of the comparison between actual and predicted wear.

1. Industrial Maintenance: Accurate wear prediction optimizes maintenance plans, avoiding resource waste and safety hazards.
2. Design Optimization: Predicts wear at key parts before physical prototype manufacturing, shortening the development cycle and reducing costs.
3. Generalization Ability: Supports inductive learning, can be applied to unseen mesh topological structures, and adapts to complex engineering scenarios.

• Current limitations: Mainly focuses on static wear prediction; limited ability to model dynamic wear processes.
• Future directions: Introduce temporal modeling components (e.g., Recurrent Neural Networks/Transformers) to capture the temporal evolution of wear; extend the architecture to higher-level structural health assessment (remaining life prediction, reliability analysis).

This graph neural network framework demonstrates the potential of deep learning in engineering structural analysis. By transforming physical problems into graph-structured representations and integrating multi-convolution mechanisms, it successfully learns complex coupling relationships to achieve high-precision wear prediction. This data-driven approach provides new ideas for traditional engineering problems and is expected to play an important role in intelligent manufacturing and predictive maintenance fields.