Creep-Fatigue Design of RAFM Steels Using Physics-Informed and Data-Driven Surrogate Models with Multi-Objective Optimisation

Pengxin Wang, Yian Lin, Mingda Tian and G. M. A. M. El-Fallah

Abstract

Designing reduced-activation ferritic-martensitic (RAFM) steels capable of simultaneously resisting creep deformation and low-cycle fatigue (LCF) damage is a key requirement for structural materials in future fusion demonstration reactors (DEMO), where components are exposed to elevated temperatures and cyclic loading. However, achieving balanced creep-fatigue performance remains challenging because the mechanisms governing long-term creep rupture and cyclic plasticity are fundamentally different and often conflicting. In this study, two complementary surrogate models are developed to address this creep-fatigue design challenge: a dual-mechanism physics-informed neural networks (PINNs) for predicting creep rupture behaviour and a multi-layer perceptron (MLP) model for LCF performance. The models are trained on consolidated datasets including experimental creep rupture data, cyclic fatigue properties, alloy compositions and thermophysical descriptors. The creep PINN achieves R2 = 0.96 and captures the transition from stress-controlled dislocation creep at lower homologous temperatures (T/Tm < 0.4, where Tm represents the alloy melting temperature) to diffusion-dominated behaviour at higher temperatures (T/Tm ≥ 0.4), corresponding approximately to 500–600°C for typical RAFM steels, while the fatigue MLP attains R2 = 0.97. Model interpretability based on SHAP (SHapley Additive exPlanations) reveals temperature-dependent shifts in creep kinetics and identifies the total strain range (Δεtotal), temperature and Cr–W–Ta alloying interactions associated with precipitation strengthening as key factors influencing LCF behaviour. Feature interaction analysis based on SHAP interaction values further indicates cooperative Cr–W–Ta strengthening at lower temperatures and degradation-dominated behaviour at higher temperatures. Integrating both surrogate models into a multi-objective optimisation framework based on Non-dominated Sorting Genetic Algorithm II (NSGA-II) generated a Pareto front of alloy compositions with improved predicted creep rupture life and fatigue life compared with Eurofer97, achieving log10Nf = 3.85–4.18 and predicted creep rupture time of 2.5–5.1 × 103 h at 650°C. These results demonstrate an interpretable framework for the creep-fatigue-informed design of RAFM steels under fusion-relevant operating conditions.

Published in Journal of Nuclear Materials, Vol. 630 (2026), Article 156750.