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Advanced Finite Element Method and Its Applications, Second Edition

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Mechanical Engineering".

Deadline for manuscript submissions: 20 June 2026 | Viewed by 1216

Special Issue Editor


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Guest Editor
Department of Enterprise Engineering, University of Rome Tor Vergata, Via del Politecnico, 1, 00133 Rome, Italy
Interests: finite element analysis; anisogrid lattice structures; structural engineering; solid mechanics; structural analysis; mechanics of materials; finite element modeling; mechanical behavior of materials; stress analysis; mechanics of composite materials
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The finite element method has become a fundamental tool for many engineering disciplines, providing valuable simulation results to support the design process. The accuracy of the results has allowed for streamlining the conceptual iterations toward the final product and has opened new optimization possibilities.

Even today, scientific interest in this topic is high. Since its inception, many scientific contributions have aimed to enlarge the applications of the finite element method to encompass structural engineering, aerospace engineering, mechanics of materials, fracture mechanics, thermo-fluid mechanics, chemical engineering, electro-magnetism, manufacturing processes, and, more recently, digital twins.

Therefore, the second edition of this Special Issue aims to gather innovative contributions on the formulations of finite element solutions for specific problems, derivations of custom approaches and in-house software, definitions of specific multi-physical workflows, and optimization approaches. Papers discussing algorithms that can be used for the numerical efficiency of the analytical and post-processing procedures are also welcome.

Dr. Valerio Belardi
Guest Editor

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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • finite element analysis
  • numerical methods
  • semi-analytical methods
  • simulations
  • custom finite elements

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Published Papers (3 papers)

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Research

35 pages, 6853 KB  
Article
Experimental and Numerical Investigation of Liquid Nitrogen Die Cooling for Increased Efficiency in Porthole Aluminum Extrusion Dies
by Evangelos Giarmas, Ioannis Theodoridis, Panagiotis Tounis, Tommaso Pinter and Dimitrios Tzetzis
Appl. Sci. 2026, 16(5), 2385; https://doi.org/10.3390/app16052385 - 28 Feb 2026
Viewed by 253
Abstract
Die design plays a critical role in achieving high-quality aluminum extrusion products with optimal efficiency. Porthole dies are widely employed to produce hollow profiles for diverse industrial applications, yet their design parameters significantly influence surface quality, geometry, and productivity. In this study, a [...] Read more.
Die design plays a critical role in achieving high-quality aluminum extrusion products with optimal efficiency. Porthole dies are widely employed to produce hollow profiles for diverse industrial applications, yet their design parameters significantly influence surface quality, geometry, and productivity. In this study, a two-hole porthole die was investigated using both numerical and experimental approaches. The 6060 aluminum alloy (produced in the foundry of Alumil SA, Kilkis, Greece) was selected as the material of focus. Finite Element Analysis was conducted with HyperXtrude™ 2022 software, while experimental trials were performed on a 35 MN extrusion press. To further enhance productivity, a liquid nitrogen cooling system was integrated into the process. The combined numerical and experimental results demonstrated that the redesigned die and the integration of liquid nitrogen cooling significantly improved process performance. Productivity increased by 8.76%, with ram speed rising from 6.8 mm/s to 9.5 mm/s while maintaining dimensional accuracy and stable extrusion conditions. Full article
(This article belongs to the Special Issue Advanced Finite Element Method and Its Applications, Second Edition)
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20 pages, 3617 KB  
Article
Wear Analysis of Catenary Dropper Lines Due to Discontinuous Contact
by Cong Chen, Huai Zhao, Duorun Wang, Xingyu Feng, Guilin Liu, Jiliang Mo, Jian Luo and Dabing Luo
Appl. Sci. 2026, 16(3), 1655; https://doi.org/10.3390/app16031655 - 6 Feb 2026
Viewed by 329
Abstract
The service reliability of critical catenary components is strongly influenced by damage evolution at dynamic contact interfaces. In this study, a numerical framework is developed to simulate the dynamic contact behavior and wear progression of catenary droppers by coupling Archard’s wear law with [...] Read more.
The service reliability of critical catenary components is strongly influenced by damage evolution at dynamic contact interfaces. In this study, a numerical framework is developed to simulate the dynamic contact behavior and wear progression of catenary droppers by coupling Archard’s wear law with an adaptive remeshing strategy. Surface degradation is explicitly incorporated into the contact formulation through an improved boundary representation, enabling a quantitative linkage between interface damage and the corresponding mechanical responses. The simulations indicate that, after geometric reconstruction of the worn surface, the contact interface exhibits a pronounced stress-gradient evolution. The most severe damage is predicted at the contact region between the central strand and one outer strand, and the spatial damage pattern is primarily governed by discontinuous contact. Moreover, thermally induced material softening has a limited effect on the peak contact stress, which is dominated instead by the applied load and local contact geometry. The proposed framework provides a computational basis for assessing dropper wear and estimating catenary lifetime, thereby supporting reliability-oriented maintenance and safer rail operations. Full article
(This article belongs to the Special Issue Advanced Finite Element Method and Its Applications, Second Edition)
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24 pages, 5731 KB  
Article
Effect of Different Infill Types on the Cyclic Behavior of Steel Plate Shear Walls
by Mohammed M. Elgiar, Alaa A. Elsisi, Hassan M. Maaly and Osman Shallan
Appl. Sci. 2026, 16(2), 759; https://doi.org/10.3390/app16020759 - 12 Jan 2026
Viewed by 370
Abstract
The steel plate shear wall (SPSW) is a prevalent lateral load-resisting system in high-rise steel buildings. Comprising a boundary frame and an infill plate, its performance is the focus of this study. This work aims to investigate the effects of different infill plate [...] Read more.
The steel plate shear wall (SPSW) is a prevalent lateral load-resisting system in high-rise steel buildings. Comprising a boundary frame and an infill plate, its performance is the focus of this study. This work aims to investigate the effects of different infill plate types of identical weight and boundary frame characteristics on the seismic behavior of SPSWs. A numerical method is proposed to enable a comprehensive comparison of the seismic behavior of different SPSW types of equal weight. The model is validated using previously published numerical and experimental works. The study examines unstiffened (USPSW), stiffened (SSPSW), and corrugated steel plate shear walls (CSPSW). The effects of boundary frame stiffness were studied, with key performance metrics, such as load-carrying capacity, stiffness, and energy dissipation capacity, analyzed in detail. It is found that SSPSWs exhibit superior seismic behavior compared to USPSWs and CSPSWs. The load-carrying capacity of SSPSWs is approximately 14% and 24% higher than that of USPSWs and CSPSWs, respectively. USPSWs demonstrate greater sensitivity to boundary frame stiffness than CSPSWs. Full article
(This article belongs to the Special Issue Advanced Finite Element Method and Its Applications, Second Edition)
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