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Advances in Solid Mechanics and Its Applications

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

Deadline for manuscript submissions: closed (10 October 2025) | Viewed by 2026

Special Issue Editors


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Guest Editor
1. Department of Mechanical Engineering, Faculty of Technology, University of Brasília, Campus Darcy Ribeiro, Brasília 70910-900, Brazil
2. INEGI – Institute of Science and Innovation in Mechanical and Industrial Engineering, University of Porto, Campus da FEUP, 4200-465 Porto, Portugal
Interests: mechanical behavior of materials; mechanics of materials; finite element analysis; solid mechanics; finite element modeling; mechanical properties; mechanical testing

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Guest Editor
Department of Mechanical Engineering, University of Brasilia, Brasilia 70910-900, Brazil
Interests: fatigue; fracture; mechanics of materials; durability

Special Issue Information

Dear Colleagues,

One of the main challenges in solid mechanics is to describe the mechanical behavior of materials, whether under static/quasi-static or dynamic conditions. Major industries, such as aerospace, aviation, naval, automotive, and oil and gas extraction, among others, apply the concepts developed in this field of mechanics to design and operate machines, structures, and components. Thus, this “Special Issue” aims to showcase the advances achieved in the study of ductile fracture, material fatigue, fracture mechanics, the characterization of materials from additive manufacturing, the use of AI for manufacturing process optimization, wear and balance of cutting tools, the application of the finite element method to solve nonlinear problems in solid mechanics, and mechanical vibrations.

Prof. Dr. Lucival Malcher
Prof. Dr. Fábio Comes Castro
Guest Editors

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Keywords

  • characterization of materials
  • fatigue of materials
  • additive manufacturing
  • AI in solid mechanics
  • wear
  • numerical methods

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Published Papers (3 papers)

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Research

34 pages, 6110 KB  
Article
A VFIFE-DKMT Formulation for Nonlinear Motion Analysis of Laminated Composite Thick Shells
by Shih-Ming Chou, Chung-Yue Wang and Ren-Zuo Wang
Appl. Sci. 2025, 15(21), 11314; https://doi.org/10.3390/app152111314 - 22 Oct 2025
Viewed by 156
Abstract
This study presents a new formulation for laminated composite thick shells by incorporating the discrete Kirchhoff–Mindlin triangular (DKMT) element into the vector form intrinsic finite element (VFIFE) method. This integration enables the accurate modeling of transverse shear effects, which are difficult to capture [...] Read more.
This study presents a new formulation for laminated composite thick shells by incorporating the discrete Kirchhoff–Mindlin triangular (DKMT) element into the vector form intrinsic finite element (VFIFE) method. This integration enables the accurate modeling of transverse shear effects, which are difficult to capture using conventional VFIFEs. In this framework, the shell is discretized into particles whose motions are analyzed over discrete time intervals, referred to as path elements. Euler’s law of motion governs particle dynamics, while triangular elements connect the particles and describe local deformation and internal forces. Quaternions represent rigid body rotations within the convected material frame, and internal forces are obtained from the shape functions of the VFIFE–DKMT element. The formulation is validated through numerical examples involving geometrically nonlinear displacements, dynamic responses, and large deformations in isotropic and composite shells. The results demonstrate the accuracy and robustness of the proposed method in predicting the nonlinear motion of thick shell structures. Full article
(This article belongs to the Special Issue Advances in Solid Mechanics and Its Applications)
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29 pages, 11755 KB  
Article
Influence of Additive Manufacturing Printing Parameters via LPBF on the Mechanical Strength of Metallic Materials: Numerical Analysis by Gurson-Based Model
by Vinícius dos Santos Gonçalves, Omid Emadinia, Francisco Matos, Déborah De Oliveira, José Alexander Araújo and Lucival Malcher
Appl. Sci. 2025, 15(18), 10004; https://doi.org/10.3390/app151810004 - 12 Sep 2025
Viewed by 429
Abstract
This paper investigates the influence of initial porosity and its evolution on the mechanical behavior of metallic materials manufactured by additive manufacturing (AM), using the Gurson model to predict the initiation and propagation of damage in specimens produced via Laser Powder Bed Fusion [...] Read more.
This paper investigates the influence of initial porosity and its evolution on the mechanical behavior of metallic materials manufactured by additive manufacturing (AM), using the Gurson model to predict the initiation and propagation of damage in specimens produced via Laser Powder Bed Fusion (LPBF). The methodology combines experimental uniaxial tensile tests, numerical simulations based on the Gurson model, and the parametric identification method (PIP) to calibrate constitutive parameters (σy0, σ, δ, ξ). The specimens, made of AlSi10Mg with different printing directions (horizontal and vertical) and porosity levels, were evaluated to determine the relationship between density, anisotropy, and mechanical properties. The experimental results revealed that vertical printing accelerates fracture due to the concentration of stresses at the interfaces between layers, while the numerical simulations, compared with the von Mises model, showed greater accuracy of the Gurson model in predicting damage in porous materials. The analysis of porosity evolution highlighted the impact of void size and spacing on coalescence and ductility. The proposed methodology was validated, establishing a useful approach for evaluating the mechanical behavior of materials manufactured by AM. This work contributes to the advancement of the design of lightweight and resistant components, with applications in sectors such as aerospace and automotive, and suggests directions for future studies, including the investigation of other alloys and dynamic loading conditions. Full article
(This article belongs to the Special Issue Advances in Solid Mechanics and Its Applications)
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24 pages, 4984 KB  
Article
Research and Evaluation of a New Structural Damage Identification Method Based on a Refined Genetic Algorithm
by Yuantian Qin, Zhehang Yin and Jiahao Ma
Appl. Sci. 2024, 14(22), 10454; https://doi.org/10.3390/app142210454 - 13 Nov 2024
Viewed by 850
Abstract
In order to solve the problem of structural damage location and degree identification, the weighted mean of vectors algorithm (INFO), a high-performance optimization algorithm, was first introduced to identify structural damage. By comparison with the refined genetic algorithm (RGA), the accuracy and advantages [...] Read more.
In order to solve the problem of structural damage location and degree identification, the weighted mean of vectors algorithm (INFO), a high-performance optimization algorithm, was first introduced to identify structural damage. By comparison with the refined genetic algorithm (RGA), the accuracy and advantages of INFO are analyzed and evaluated. An objective function is constructed by combining the dynamic response transfer ratio without modal analysis. The INFO and RGA algorithms are used to optimize the objective function for damage identification. The simulation results verify the effectiveness of the three damage identification methods. The results show that the identification effect of the INFO algorithm can reach nearly 100% without noise influence, and the anti-noise ability is the strongest. Among the three algorithms, the damage identification accuracy of the INFO algorithm is the highest, followed by the RGA algorithm and the GA algorithm. Full article
(This article belongs to the Special Issue Advances in Solid Mechanics and Its Applications)
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