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Computational Mechanics for Solids and Structures
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Computational Mechanics for Solids and Structures

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

Deadline for manuscript submissions: 31 January 2025 | Viewed by 3410

Special Issue Editor

Prof. Dr. Elza Maria Morais Fonseca

E-Mail Website
Guest Editor
Department of Mechanical Engineering, Polytechnic Institute of Porto, ISEP-IPP, Porto, Portugal
Interests: solid mechanics; thermal; fire; connections (wood, steel); computational mechanics and biomechanics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The study of solids and structures is a field of science and engineering dedicated to many aspects, from the most classical problems of structural analysis to solids mechanics. All of these aspects interact with each other, including stress and strain analysis, fracturing, fatigue, flow, wave propagation, heat transfer, thermal effects, optimal design strategies, structural topologies, numerical techniques, vibrations, and general material properties.

The study of solid and structure mechanics is a very active field of research due to the search for challenges and continually innovative solutions. The study of structural behavior, as well as the characterization of new materials being applied in different areas and engineering solutions, bring this area, as always, up to date with new and future trends.

The goal of this Special Issue, “Computational Mechanics of Solids and Structures”, is to bring together the most recent developments and challenges in this field, contributing to strengthening the knowledge of many researchers around the world.

The spectrum of contributions to this Special Issue will provide an exceptional understanding and a complete basis for future research in the study of solids and structures.

This Special Issue is intended to contain contributions based on experimental, theoretical, or computational approaches and their interactions. An important feature will be the interdisciplinarity between work produced by researchers from different areas, including mechanical engineering, civil engineering, thermal engineering, and material engineering.

This Special Issue aims to discuss all relevant aspects, giving a clear and complete overview of the methods applied in new solutions. New trends will be discussed, as will recent developments and solutions that are still under investigation.

Submissions consisting of original articles on the following topics are welcome, though this list is not exhaustive:

  • Structural analysis;
  • Solids and mechanics;
  • Thermal analysis;
  • Finite Element Modeling (FEM);
  • Computational analysis.

Prof. Dr. Elza Maria Morais Fonseca
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Applied Sciences is an international peer-reviewed open access semimonthly journal published by MDPI.

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

  • solid and structure analysis
  • structures
  • structural mechanics
  • computational modeling
  • experimental models

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Published Papers (5 papers)

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Research

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23 pages, 7087 KiB  
Article
Exponentially Graded Auxetic Structures: An Assessment of the Shear Correction Factor and Static Deflection
by Maria Amélia R. Loja and Joaquim I. Barbosa
Appl. Sci. 2024, 14(20), 9356; https://doi.org/10.3390/app14209356 - 14 Oct 2024
Viewed by 341
Abstract
This work aims to study the influence of the material and geometric parameters that characterize re-entrant hexagonal honeycomb auxetic structures in the maximum transverse static deflection of beams. In addition, this study considers the composition of the material through the thickness results from [...] Read more.
This work aims to study the influence of the material and geometric parameters that characterize re-entrant hexagonal honeycomb auxetic structures in the maximum transverse static deflection of beams. In addition, this study considers the composition of the material through the thickness results from the mixture of a metallic phase and one of four different selected ceramics, using the exponential volume fraction law. The first-order shear deformation theory within an equivalent single-layer approach is used to assess the material and geometric parameters’ influence on the structures’ deflection. Considering this theoretical approach, the impact of the material and geometric parameters on the shear correction factors, calculated for each specific case, is also analyzed. The results allow us to conclude how the shear correction factors and the structures’ maximum static deflection are affected by the re-entrant hexagonal honeycomb auxetic cells’ aspect ratios, by the angle associated with the direction of the inclined members of the hexagonal cells and the use of materials with differentiated Poisson’s ratios. Full article
(This article belongs to the Special Issue Computational Mechanics for Solids and Structures)
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39 pages, 3922 KiB  
Article
Extending the Natural Neighbour Radial Point Interpolation Meshless Method to the Multiscale Analysis of Sandwich Beams with Polyurethane Foam Core
by Jorge Belinha
Appl. Sci. 2024, 14(20), 9214; https://doi.org/10.3390/app14209214 - 10 Oct 2024
Viewed by 371
Abstract
This work investigates the mechanical behaviour of sandwich beams with cellular cores using a multiscale approach combined with a meshless method, the Natural Neighbour Radial Point Interpolation Method (NNRPIM). The analysis is divided into two steps, aiming to analyse the efficiency of NNRPIM [...] Read more.
This work investigates the mechanical behaviour of sandwich beams with cellular cores using a multiscale approach combined with a meshless method, the Natural Neighbour Radial Point Interpolation Method (NNRPIM). The analysis is divided into two steps, aiming to analyse the efficiency of NNRPIM formulation when combined with homogenisation techniques for a multiscale computational framework of large-scale sandwich beam problems. In the first step, the cellular core material undergoes a controlled modification process in which circular holes are introduced into bulk polyurethane foam (PUF) to create materials with varying volume fractions. Subsequently, a homogenisation technique is combined with NNRPIM to determine the homogenised mechanical properties of these PUF materials with different porosities. In this step, NNRPIM solutions are compared with high-order FEM simulations. While the results demonstrate that RPIM can approximate high-order FEM solutions, it is observed that the computational cost increases significantly when aiming for comparable smoothness in the approximations. The second step applies the homogenised mechanical properties obtained in the first step to analyse large-scale sandwich beam problems with both homogeneous and functionally graded cores. The results reveal the capability of NNRPIM to closely replicate the solutions obtained from FEM analyses. Furthermore, an analysis of stress distributions along the beam thickness highlights a tendency for some NNRPIM formulations to yield slightly lower stress values near the domain boundaries. However, convergence towards agreement among different formulations is observed with mesh refinement. The findings of this study show that NNRPIM can be used as an alternative numerical method to FEM for analysing sandwich structures. Full article
(This article belongs to the Special Issue Computational Mechanics for Solids and Structures)
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25 pages, 15626 KiB  
Article
Fire Resistance of Ultra-High-Strength Steel Columns Using Different Heating Rates
by Paulo A. G. Piloto, Arthur Silva Pereira and Artur Caron Mottin
Appl. Sci. 2024, 14(11), 4887; https://doi.org/10.3390/app14114887 - 5 Jun 2024
Viewed by 733
Abstract
Ultra-High-Strength Steel (UHSS) offers several advantages over normal carbon steel, promoting exceptional strength, reducing self-weight, improving fire resistance, enhancing durability, and reducing material consumption. These advantages result in cost savings and sustainable engineering construction. The 3D numerical model is based on Geometrical and [...] Read more.
Ultra-High-Strength Steel (UHSS) offers several advantages over normal carbon steel, promoting exceptional strength, reducing self-weight, improving fire resistance, enhancing durability, and reducing material consumption. These advantages result in cost savings and sustainable engineering construction. The 3D numerical model is based on Geometrical and Materially Nonlinear Imperfection Analysis (GMNIA) and determines the fire resistance of different cross-section columns. The model is validated with experimental tests, with a maximum relative error of 11%. A parametric analysis is presented, based on 252 simulations, assuming three heating rates, two different cross-sections, two different thicknesses, three lengths, and seven load levels. The fire resistance depends on the heating rate, but the critical temperature is almost equal and independent of the heating rate, if one assumes implicit creep in the constitutive material model. The fire resistance decreases with the load level, as expected. The thickness effect of the hollow section is almost negligible in the fire resistance of UHSS columns. The fire resistance decreases more in higher load levels for slender columns. Columns with Circular Hollow Sections (CHSs) generally show higher fire resistance than hybrid columns in longer columns, but the hybrid columns are subject to much higher loads. New design formulas are presented for the critical temperature of UHSS columns, depending on the load level and slenderness of two different cross-sections. Full article
(This article belongs to the Special Issue Computational Mechanics for Solids and Structures)
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20 pages, 8411 KiB  
Article
Discrete Lattice Element Model for Fracture Propagation with Improved Elastic Response
by Jadran Čarija, Eduard Marenić, Tomislav Jarak and Mijo Nikolić
Appl. Sci. 2024, 14(3), 1287; https://doi.org/10.3390/app14031287 - 4 Feb 2024
Viewed by 1140
Abstract
This research presents a novel approach to modeling fracture propagation using a discrete lattice element model with embedded strong discontinuities. The focus is on enhancing the linear elastic response within the model followed by propagation of fractures until total failure. To achieve this, [...] Read more.
This research presents a novel approach to modeling fracture propagation using a discrete lattice element model with embedded strong discontinuities. The focus is on enhancing the linear elastic response within the model followed by propagation of fractures until total failure. To achieve this, a generalized beam lattice element with an embedded strong discontinuity based on the kinematics of a rigid-body spring model is formulated. The linear elastic regime is refined by correcting the stress tensor at nodes within the domain based on the internal forces present in lattice elements, which is achieved by introducing fictitious forces into the standard internal force vectors to predict the right elastic response of the model related to Poisson’s effect. Upon initiation of the first fractures, the procedure for the computation of the fictitious stress tensor is terminated, and the embedded strong discontinuities are activated in the lattice elements for obtaining an objective fracture and failure response. This transition ensures a shift from the elastic phase to the fracture propagation phase, enhancing the predictive capabilities in capturing the full fracture processes. Full article
(This article belongs to the Special Issue Computational Mechanics for Solids and Structures)
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Other

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12 pages, 2920 KiB  
Technical Note
Steel Columns under Compression with Different Sizes of Square Hollow Cross-Sections, Lengths, and End Constraints
by Elza M. M. Fonseca
Appl. Sci. 2024, 14(19), 8668; https://doi.org/10.3390/app14198668 - 26 Sep 2024
Viewed by 387
Abstract
This work presents several results of the stability in steel columns subject to pure compression. A square hollow cross-section with different sizes was considered. This study presents all the analytical equations that need to be used to verify the stability of each column [...] Read more.
This work presents several results of the stability in steel columns subject to pure compression. A square hollow cross-section with different sizes was considered. This study presents all the analytical equations that need to be used to verify the stability of each column with different lengths and boundary conditions. A finite element program was also chosen to achieve the most critical loads (Euler and buckling resistance loads) in the calculation for each element under study, using linear and nonlinear geometric and material modeling. Steel material was used for the columns, where damage due to plasticity was included, through plastic behavior with isotropic hardening. Comparing the results allows us to conclude that the use of the finite element method is an alternative methodology to be used in other types or configurations of columns, where parameterized tests can be easily implemented and to contribute to the development of a wide-ranging database. The finite element method led to an accurate solution when compared with the analytical results with a maximum deviation of 14.7%. By increasing the column length and reducing the cross-section size, the design buckling resistance of the studied columns also decreases. These studies demonstrate that the length and size of the column cross-section can meaningfully increase the structural behavior of the columns. Full article
(This article belongs to the Special Issue Computational Mechanics for Solids and Structures)
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