Advances in Artificial Intelligence and Computational Methods for Prognostics and Health Management of Civil and Mechanical Systems

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".

Deadline for manuscript submissions: 30 September 2026 | Viewed by 706

Special Issue Editors


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Guest Editor
Department of Mechanical, Robotics and Energy Engineering, Dongguk University-Seoul, Seoul 780-714, Republic of Korea
Interests: prognostics and health management (PHM); artificial intelligence; biomimetic actuator; adaptive structures; structural analysis; structural optimization; numerical analysis; composite structures
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, MI 48109, USA
Interests: prognostics and health management; artificial intelligence; composite structures; intelligent machines
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue aims to highlight recent developments in mathematical modeling, artificial intelligence (AI), and physics-informed machine learning for prognostics and health management (PHM). It focuses on applications to mechanical system and civil infrastructure, which are critical to sectors such as transportation, energy, and water. As these systems age, there is a growing need for accurate diagnostics, degradation modeling, and failure prediction. The integration of AI with physics-based approaches enables more reliable health monitoring, remaining useful life estimation, and decision-making under uncertainty. This Issue seeks contributions that advance computational methods for PHM and support sustainable and resilient infrastructure management.

We invite original research and comprehensive review articles that highlight the use of computational intelligence, data-driven and hybrid physics-informed models, and probabilistic frameworks for damage detection, localization, and remaining useful life (RUL) estimation.

Topics of interest include, but are not limited to, the following:

  • Mathematical foundations for PHM and failure modeling.
  • Artificial intelligence and machine learning for structural and mechanical health monitoring.
  • Physics-informed neural networks and hybrid modeling techniques.
  • Prognostics of rotating machines (e.g., turbines, pumps, motors).
  • Damage detection and localization in civil infrastructure (e.g., bridges, pipelines, pavements).
  • Uncertainty quantification and probabilistic forecasting in PHM.
  • Computational models for sensor fusion and anomaly detection.
  • Real-time condition monitoring systems and digital twin frameworks.

Prof. Dr. Heung Soo Kim
Dr. Salman Khalid
Guest Editors

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Keywords

  • artificial intelligence
  • mechanical system
  • civil infrastructure
  • computational modeling
  • physics-informed machine learning
  • structural health monitoring
  • failure prediction
  • damage detection
  • prognostics and health management

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Published Papers (1 paper)

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Research

29 pages, 10582 KB  
Article
Mechanical Responses of 3D Printed Periodic Arch-Inspired Structures Doped with NdFeB Powder
by Yangsen Wang, Bin Huang and Yan Guo
Mathematics 2026, 14(2), 284; https://doi.org/10.3390/math14020284 - 13 Jan 2026
Viewed by 464
Abstract
This work explores the mechanical responses of 3D-printed periodic arch-inspired structures (PASs) and PASs doped with NdFeB powder to advance their application in lightweight structural load-bearing and future structure–function integration. Three PAS configurations were fabricated via digital light processing (DLP), and magnetic PASs [...] Read more.
This work explores the mechanical responses of 3D-printed periodic arch-inspired structures (PASs) and PASs doped with NdFeB powder to advance their application in lightweight structural load-bearing and future structure–function integration. Three PAS configurations were fabricated via digital light processing (DLP), and magnetic PASs (MPASs) were produced by dispersing NdFeB powder (1–3 g/200 mL) into photosensitive resin. Under quasi-static compression, key mechanical properties—Young’s modulus (E), yield strength (σy), and compressive strength (σc)—of non-magnetic PASs increase linearly with relative density (ρ* = 0.18–0.48): for PAS22, E rises from 68.1 to 200.3 MPa (+194%), σy from 2.18 to 6.75 MPa (+210%), and σc from 2.98 to 9.07 MPa (+204%). Under dynamic impact (~100 s−1), mechanical enhancement is even more pronounced: E of PAS22 surges to 814.8 MPa (3.2× higher than quasi-static), and σc reaches 11.54 MPa. Finite element simulations reveal that the Ideal Plastic Model best predicts quasi-static brittle fracture, whereas the Hardening Function Model captures dynamic behavior most accurately. Stress and plastic strain concentrate at the straight–arc junctions—identified as critical weak points. MPASs exhibit higher stiffness and yield strength (e.g., E of MPAS22 up to 896.5 MPa under impact) but lower compressive strength (e.g., 11.01 MPa vs. 11.54 MPa for NMPAS22), attributed to NdFeB-induced brittleness that shifts the failure mode from “local damage accumulation” to “rapid overall failure”. This study establishes quantitative doping–structure–property correlations, providing design guidelines for next-generation functional arch-inspired metamaterials toward magnetically responsive, load-bearing applications. Full article
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