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Selected Papers from the 26th International Conference on Computer Methods in Mechanics (CMM2025)

A special issue of Materials (ISSN 1996-1944). This special issue belongs to the section "Mechanics of Materials".

Deadline for manuscript submissions: 20 April 2026 | Viewed by 2876

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Special Issue Information

Dear Colleagues,

The main aim is to collect the selected contributions from the 26th International Conference on Computer Methods in Mechanics (CMM2025), which will be held in July of 2025 in Lodz, Poland. This Conference reports the recent advances in various computer methods in mechanics, where the finite element method, boundary element method, artificial intelligence, meshless methods and composite materials modeling research will be presented and discussed. This Conference brings together researchers from many countries, and about ten plenary lectures from the USA, Italy, Germany, Austria, Australia, and Poland are invited. The Conference is addressed specifically to PhD students, and a competition for the best presentation is organized. This edition is specifically devoted to two research areas that have gained remarkable popularity over the last few years: (i) artificial intelligence applications in computational mechanics and computer science in general and (ii) stochastic mechanics, for which the development of reliability assessments and numerical methods still attracts engineers and scientists. The Conference is under the scientific patronage of The Zienkiewicz Institute of Swansea University in the UK, and also ECCOMAS, so remarkable milestones in computational mechanics and machine learning are expected. Considering the fact that composite materials research still attracts hosting institution researchers, a reasonable contribution in this area is also expected, including homogenization theory, multiscale analysis and various computational models.

Prof. Dr. Marcin Kamiński
Guest Editor

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Keywords

  • finite element method
  • boundary element method
  • meshless approaches
  • probabilistic computational mechanics
  • artificial intelligence

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Published Papers (4 papers)

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Research

18 pages, 2307 KB  
Article
Influence of the Initial Prestress Level on the Reliability Index of Geiger Dome
by Paulina Obara, Urszula Radoń and Paweł Zabojszcza
Materials 2025, 18(23), 5291; https://doi.org/10.3390/ma18235291 - 24 Nov 2025
Viewed by 375
Abstract
This paper presents a reliability analysis of four distinct design solutions, known as Geiger domes. These domes possess two intrinsic characteristics of tensegrity structures: infinitesimal mechanisms and self-stress states. In the absence of self-stress (initial prestress), Geiger domes are inherently unstable; stabilization is [...] Read more.
This paper presents a reliability analysis of four distinct design solutions, known as Geiger domes. These domes possess two intrinsic characteristics of tensegrity structures: infinitesimal mechanisms and self-stress states. In the absence of self-stress (initial prestress), Geiger domes are inherently unstable; stabilization is achieved only through the introduction of initial prestressing forces. The reliability analysis is carried out using a system-based approach and focuses on domes with six load-bearing girders. Two girder geometries are examined: one with a closed upper section and the other with an open upper section. The primary aim of this study is to identify a design solution that is more sensitive to the influence of initial prestress on structural reliability. Accordingly, the reliability index is evaluated as a function of the initial prestress level. Within the system-based framework, the reliability assessment of tensegrity structures is conducted in three stages. The first stage involves identifying self-stress states and infinitesimal mechanisms. The second stage concerns the formulation of reliability models, while the third stage evaluates the effect of initial prestress on the reliability index. Research has shown that the best solution is the original Geiger dome. Full article
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26 pages, 14378 KB  
Article
Equilibrium-Based Finite Element Analysis of the Reissner–Mindlin Plate Bending Problem
by Zdzisław Więckowski and Paulina Świątkiewicz
Materials 2025, 18(21), 4969; https://doi.org/10.3390/ma18214969 - 30 Oct 2025
Viewed by 839
Abstract
A stress-based finite element approach to the Reissner–Mindlin plate bending problem is proposed. The rectangular Bogner–Fox–Schmit and triangular Hsieh–Clough–Tocher elements are applied to approximate the Southwell stress function describing the statically admissible stress field in a plate. To have some reference for the [...] Read more.
A stress-based finite element approach to the Reissner–Mindlin plate bending problem is proposed. The rectangular Bogner–Fox–Schmit and triangular Hsieh–Clough–Tocher elements are applied to approximate the Southwell stress function describing the statically admissible stress field in a plate. To have some reference for the numerical results and estimate errors of the approximate solutions, two displacement-based elements with 12 and 22 degrees of freedom are also utilised. The variant of boundary conditions—known in the literature as 2D or hard BC—is analysed in the present study. Full article
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15 pages, 938 KB  
Article
Computational Modelling of a Prestressed Tensegrity Core in a Sandwich Panel
by Jan Pełczyński and Kamila Martyniuk-Sienkiewicz
Materials 2025, 18(21), 4880; https://doi.org/10.3390/ma18214880 - 24 Oct 2025
Viewed by 407
Abstract
Tensegrity structures, by definition composed of compressed members suspended in a network of tensile cables, are characterised by a high strength-to-weight ratio and the ability to undergo reversible deformations. Their application as cores of sandwich panels represents an innovative approach to lightweight design, [...] Read more.
Tensegrity structures, by definition composed of compressed members suspended in a network of tensile cables, are characterised by a high strength-to-weight ratio and the ability to undergo reversible deformations. Their application as cores of sandwich panels represents an innovative approach to lightweight design, enabling the regulation of mechanical properties while reducing material consumption. This study presents a finite element modelling procedure that combines analytical determination of prestress using singular value decomposition with implementation in the ABAQUS™ 2019 software. Geometry generation and prestress definitions were automated with Python 3 scripts, while algebraic analysis of individual modules was performed in Wolfram Mathematica. Two models were investigated: M1, composed of four identical modules, and M2, composed of four modules arranged in two mirrored pairs. Model M1 exhibited a linear elastic response with a constant global stiffness of 13.9 kN/mm, stable regardless of the prestress level. Model M2 showed nonlinear hardening behaviour with variable stiffness ranging from 0.135 to 1.1 kN/mm and required prestress to ensure static stability. Eigenvalue analysis confirmed the full stability of M1 and the increase in stability of M2 upon the introduction of prestress. The proposed method enables precise control of prestress distribution, which is crucial for the stability and stiffness of tensegrity structures. The M2 configuration, due to its sensitivity to prestress and variable stiffness, is particularly promising as an adaptive sandwich panel core in morphing structures, adaptive building systems, and deployable constructions. Full article
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32 pages, 7096 KB  
Article
Uncertainty Quantification of the Mechanical Properties of 2D Hexagonal Cellular Solid by Analytical and Finite Element Method Approach
by Safdar Iqbal and Marcin Kamiński
Materials 2025, 18(20), 4792; https://doi.org/10.3390/ma18204792 - 20 Oct 2025
Viewed by 438
Abstract
The mechanical properties of cellular materials are critical to their performance and must be accurately determined through both analytical and numerical methods. These approaches are essential not only for understanding material behavior but also for evaluating the effects of parametric variations within the [...] Read more.
The mechanical properties of cellular materials are critical to their performance and must be accurately determined through both analytical and numerical methods. These approaches are essential not only for understanding material behavior but also for evaluating the effects of parametric variations within the unit cell structure. This study focuses on the in-plane comparison of analytical and numerical evaluations of key mechanical properties, including Young’s modulus, yield strength, and Poisson’s ratio of a 2D hexagonal unit cell subjected to systematic geometric and material variations. Analytically, the mechanical properties were derived based on the geometric configuration of the hexagonal unit cell. Numerically, the finite element method (FEM) simulations employed three different meshing methods: quadrilateral, quad-dominated, and triangular elements, to ensure precision and consistency in the results. The elastic response (Young’s modulus) was examined through a parametric sweep involving segmental length variations (4.41 to 4.71 mm) and material modulus (66.5 to 71.5 GPa), revealing percentage differences between analytical and numerical results ranging from −8.28% to 10.87% and −10.58% to 11.95%, respectively. Similarly, yield strength was evaluated with respect to variations in segmental length (4.41 to 4.71 mm) and wall thickness (1.08 to 1.11 mm), showing discrepancies between −2.86% to −5.53% for segmental length and 7.76% to 10.57% for thickness. For Poisson’s ratio, variations in the same parameters led to differences ranging from −7.05% to −12.48% and −9.11% to −12.64%, respectively. Additionally, uncertainty was assessed through relative entropy measures—Bhattacharyya, Kullback–Leibler, Hellinger, and Jeffreys—to evaluate the sensitivity of homogenized properties to input variability. These entropy measures quantify the probabilistic distance between core material distributions and their effective counterparts, reinforcing the importance of precise modeling in the design and optimization of cellular structures. Full article
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