Special Issue "Analytical and Computational Methods in Material and Mechanical Engineering"

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

Deadline for manuscript submissions: 20 November 2022.

Special Issue Editors

Prof. Dr. Tomasz Strek
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Guest Editor
Institute of Applied Mechanics, Poznan University of Technology, 60-965 Poznan, Poland
Interests: computational mechanics; auxetic; smart materials; finite element analysis; modeling and simulation
Special Issues, Collections and Topics in MDPI journals
Dr. Hubert Jopek
E-Mail Website1 Website2
Guest Editor
Institute of Applied Mechanics, Poznan University of Technology, Poznan, Poland
Interests: mechanics of materials; metamaterials; and smart materials modeling; auxetics; composites; topological optimization; computational methods in mechanics
Special Issues, Collections and Topics in MDPI journals
Dr. Paweł Fritzkowski
E-Mail Website1 Website2 Website3
Guest Editor
Poznan University of Technology, Poznan, Poland
Interests: computational mechanics; discrete and continuous modeling; computational methods; algorithms and scientific programming; vibrations and nonlinear dynamics; auxetics

Special Issue Information

Dear Colleagues,

This Special Issue of Materials is devoted to analytical and computational methods in materials and mechanical engineering. Today, simulation techniques and numerical methods have been rapidly evolving with the intent to apply increasingly complex models and to face the growing requirements of engineering applications. Also, newly developed analytical solutions have been able to cover a wider range of scientific problems and to serve as benchmark solutions for numerical simulations. This Special Issue is intended to provide a forum for academic researchers and engineers to exchange their recent works on theoretical and computational advancements.

Among others, the following topics are the main fields of interest of this Special Issue: linear and non-linear elasticity and plasticity models; materials with anomalous characteristics; metamaterials; auxetic cellular materials; porous materials; functionally graded materials, the fatigue of materials; topological optimization of structures; heat transfer in materials and structures; as well as other topics related to computational methods in materials science, mechanics, and engineering.

We invite you to submit research articles on the latest research work in these areas, with an emphasis on applications in all areas of materials and mechanical engineering.

Prof. Dr. Tomasz Strek
Dr. Hubert Jopek
Dr. Paweł Fritzkowski
Guest Editors

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 papers will be 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. Materials 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 2000 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

  • computational materials engineering
  • auxetic cellular materials
  • material strain-rate dependency
  • porous materials
  • solid and structural mechanics
  • mechanics of materials
  • heat transfer
  • thermal stresses
  • dynamics
  • fluid mechanics
  • biomechanics

Published Papers (4 papers)

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Research

Article
The Isotropic Material Design of In-Plane Loaded Elasto-Plastic Plates
by and
Materials 2021, 14(23), 7430; https://doi.org/10.3390/ma14237430 (registering DOI) - 03 Dec 2021
Abstract
This paper puts forward a new version of the Isotropic Material Design method for the optimum design of structures made of an elasto-plastic material within the Hencky-Nadai-Ilyushin theory. This method provides the optimal layouts of the moduli of isotropy to make the overall [...] Read more.
This paper puts forward a new version of the Isotropic Material Design method for the optimum design of structures made of an elasto-plastic material within the Hencky-Nadai-Ilyushin theory. This method provides the optimal layouts of the moduli of isotropy to make the overall compliance minimal. Thus, the bulk and shear moduli are the only design variables, both assumed as non-negative fields. The trace of the Hooke tensor represents the unit cost of the design. The yield condition is assumed to be independent of the design variables, to make the design process as simple as possible. By eliminating the design variables, the optimum design problem is reduced to the pair of the two mutually dual Linear Constrained Problems (LCP). The solution to the LCP stress-based problem directly determines the layout of the optimal moduli. A numerical method has been developed to construct approximate solutions, which paves the way for constructing the final layouts of the elastic moduli. Selected illustrative solutions are reported, corresponding to various data concerning the yield limit and the cost of the design. The yield condition introduced in this paper results in bounding the values of the optimal moduli in the places of possible stress concentration, such as reentrant corners. Full article
Article
A Finite Difference Algorithm Applied to the Averaged Equations of the Heat Conduction Issue in Biperiodic Composites—Robin Boundary Conditions
Materials 2021, 14(21), 6329; https://doi.org/10.3390/ma14216329 - 23 Oct 2021
Viewed by 258
Abstract
This note deals with the heat conduction issue in biperiodic composites made of two different materials. To consider such a nonuniform structure, the equations describing the behavior of the composite under thermal (Robin) boundary conditions were averaged by using tolerance modelling. In this [...] Read more.
This note deals with the heat conduction issue in biperiodic composites made of two different materials. To consider such a nonuniform structure, the equations describing the behavior of the composite under thermal (Robin) boundary conditions were averaged by using tolerance modelling. In this note, the process of creating an algorithm that uses the finite difference method to deal with averaged model equations is shown. This algorithm can be used to solve these equations and find out the temperature field distribution of a biperiodic composite. Full article
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Article
Numerical Study of Heat and Mass Transfer during Cryopreservation Process with Application of Directed Interval Arithmetic
Materials 2021, 14(11), 2966; https://doi.org/10.3390/ma14112966 - 31 May 2021
Cited by 1 | Viewed by 654
Abstract
In the present paper, numerical modelling of heat and mass transfer proceeding in a two-dimensional axially symmetrical articular cartilage sample subjected to a cryopreservation process is presented. In the model under consideration, interval parameters were assumed. The heat transfer process is described using [...] Read more.
In the present paper, numerical modelling of heat and mass transfer proceeding in a two-dimensional axially symmetrical articular cartilage sample subjected to a cryopreservation process is presented. In the model under consideration, interval parameters were assumed. The heat transfer process is described using the Fourier interval equation, while the cryoprotectant transport (DMSO) across the cell membrane is analyzed using a two-parameter model taking into account the simulation of the water volume in the chondrocytes and the change in DMSO concentration over time. The liquidus tracking (LT) protocol introduced by Pegg et al. was used to model the cryopreservation process. This procedure divides the heating and cooling phases into eight and seven steps, respectively, allowing precise regulation of temperature and cryoprotectant (CPA) concentration of bathing solutions. This protocol protects chondrocytes from ice crystal, osmotic stress, and electrolyte damage. The obtained interval concentrations of cryoprotectant in chondrocytes were compared with previous simulations obtained using the deterministic model and they are mostly in agreement with the simulation data. Full article
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Article
Modelling the Influence of Slide Burnishing Parameters on the Surface Roughness of Shafts Made of 42CrMo4 Heat-Treatable Steel
Materials 2021, 14(5), 1175; https://doi.org/10.3390/ma14051175 - 02 Mar 2021
Cited by 2 | Viewed by 524
Abstract
This article presents the results of tests aimed at determining the effect of slide burnishing parameters on the surface roughness of shafts made of 42CrMo4 heat-treatable steel. The burnishing process was carried out using tools with polycrystalline diamond and cemented carbide tips. Before [...] Read more.
This article presents the results of tests aimed at determining the effect of slide burnishing parameters on the surface roughness of shafts made of 42CrMo4 heat-treatable steel. The burnishing process was carried out using tools with polycrystalline diamond and cemented carbide tips. Before burnishing, the samples were turned on a turning lathe to produce samples with an average surface roughness Ra = 2.6 µm. The investigations were carried out according to three-leveled Hartley’s poly selective quasi D (PS/DS-P: Ha3) plan, which enables a regression equation in the form of a second-order polynomial to be defined. Artificial neural network models were also used to predict the roughness of the surface of the shafts after slide burnishing. The input parameters of the process that were taken into account included the values of pressure, burnishing speed and feed rate. Overall, the burnishing process examined leads to a reduction in the value of the surface roughness described by the Ra parameter. The artificial neural networks with the best regression statistics predicted an average surface roughness of the shafts with R2 = 0.987. The lowest root-mean-square error and mean absolute error were obtained with all the network structures analysed that were trained with the quasi Newton algorithm. Full article
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