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Multi-Objective Optimization Using Deep Neural Network and Grey Relational Analysis for Optimal Lay-Up of CFRP

Min-Gi Kim1, Jae-Chang Ryu2, Chan-Joo Lee3

  • 1Department of Nanomechatronics Engineering, Pusan National University, Busan 46241, Republic of Korea.

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|November 27, 2025
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Summary

This study introduces a new method combining deep neural networks (DNN) and gray relational analysis (GRA) for optimizing carbon fiber-reinforced plastic (CFRP) components. The approach enhances structural strength and safety in automotive parts efficiently.

Keywords:
carbon fiber reinforcement plastic (CFRP)deep neural networks (DNN)gray relational analysis (GRA)multi-objective optimizationpareto optimal solutions

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Computational Science

Background:

  • Optimizing composite material lay-up is crucial for automotive components.
  • Balancing structural strength and failure safety in carbon fiber-reinforced plastic (CFRP) parts presents a multi-objective challenge.
  • Traditional optimization methods can be computationally intensive.

Purpose of the Study:

  • To propose and validate a novel multi-objective optimization framework for CFRP automotive components.
  • To integrate deep neural networks (DNN) and gray relational analysis (GRA) for efficient lay-up configuration optimization.
  • To simultaneously enhance structural strength and failure safety of CFRP components.

Main Methods:

  • Development of a DNN surrogate model trained on finite element simulations of numerous lay-up sequences.
  • Utilization of the DNN model to identify Pareto optimal solutions across all possible lay-up combinations.
  • Application of GRA to select optimal configurations based on designer preferences.
  • Experimental validation using a fabricated CFRP B-pillar under bending tests.

Main Results:

  • The DNN-GRA method achieved high predictive accuracy for lay-up configurations.
  • Optimized lay-up designs showed significant improvements in both structural strength and failure safety.
  • Experimental validation confirmed the simulation results with less than 5% error.
  • The approach demonstrated reduced computational effort compared to traditional methods.

Conclusions:

  • The proposed DNN-GRA framework offers an efficient and flexible approach for multi-objective optimization of CFRP components.
  • This method effectively balances competing design objectives like strength and safety.
  • The validated framework provides reliable predictions for composite material design in automotive applications.