Thermoplastic-virtual integrated model for functionally graded structure at high temperature

• Published in: Applied mathematical modelling Vol. 146; p. 116176
• Main Author: Feng, Yuan
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.10.2025
• Subjects: Functionally graded structure; Machine learning; Material nonlinearity; Thermoplastic; Uncertainty quantification; Virtual modelling; Functionally graded structure; Uncertainty quantification; Material nonlinearity; Thermoplastic; Virtual modelling; Machine learning
• ISSN: 0307-904X
• DOI: 10.1016/j.apm.2025.116176

•Coupled thermoplastic-virtual model is freshly developed.•Temperature-dependent random plasticity is considered for functionally graded structure.•Strength and serviceability limit states of FG structure is investigated.•Non-deterministic yielding zone can be accomplished with ease.•Engineering applicability of the proposed method is illustrated. The high temperature induced uncertain nonlinear failure behaviour has been one of the critical issues for concurrent composite structures due to the metallic components involved. This paper presents a multivariate coupling framework for combining thermal elastoplastic based mechanical model with efficient virtual modelling technique to investigate the non-deterministic plastic responses of functionally graded structure subject to varied temperature distributions. The position and temperature dependent thermoplastic mechanical properties of functionally graded structure are simulated through the Touloukian and Tamura-Tomota-Ozawa models. The randomness of effective properties of FG structure is applied as random vector into the mechanism algorithm then follow J2-plasticity with isotropic hardening to exhibit nonlinear behaviour. The coupling framework is achieved by incorporating the random nonlinear responses into the multi-cluster virtual modelling technique and provided with explicit formulation that representing the inherent correlation between the field inputs and yielding outputs. Such that the deformed nonlinear deflection, plastic damage zone, and fragility curves could be directly estimated for the FG structure under various temperature distributions. The coupled thermoplastic-virtual model is validated through two practical numerical applications and the computational accuracy, efficiency, and versatility of the coupled framework ensured the rapid safety evaluation of complex composite system in an uncertain thermal environment.