Special Issue "Symmetry in Applied Continuous Mechanics"

A special issue of Symmetry (ISSN 2073-8994).

Deadline for manuscript submissions: 15 September 2019

Special Issue Editors

Guest Editor
Prof. Marin Marin

“Transilvania” University of Brasov, Brasov, Romania
Website | E-Mail
Interests: Differential Equations; Partial Differential Equations; Equations of Evolution; Integral Equations; Mixed initial-boundary value problems for PDE; Termoelasticity; Media with Microstretch; Environments goals; Nonlinear Problems
Guest Editor
Prof. Dumitru Baleanu

Cankaya Universitesi, Ankara, Turkey and Institute of Space Sciences, Magurele-Bucharest, Romania
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Guest Editor
Prof. Sorin Vlase

“Transilvania” University of Brasov, Brasov, Romania
Website | E-Mail

Special Issue Information

Dear Colleagues,

Engineering practice requires the use of structures containing identical components or parts, useful from several points of view: less information is needed to describe the system, design is made quicker and easier, components are made faster than a complex assembly, and finally the time to achieve the structure and the cost of manufacturing decreases. Also, the subsequent maintenance of the system becomes easier and cheaper.

This Special Issue is dedicated to this kind of mechanical structure, describing the properties and methods of analysis of these structures. Discrete or continuous structures in static and dynamic cases are considered.

Theoretical models, mathematical methods, numerical analysis of the systems, such as the finite element method and experimental methods are expected to be used in the researches. Machine building, automotive, aerospace and civil engineering are the main areas in which such applications appear, but they are found in most engineering fields.

Prof. Marin Marin
Prof. Dumitru Baleanu
Prof. Sorin Vlase
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. Symmetry is an international peer-reviewed open access monthly 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 1400 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

  • Symmetry
  • Skew symmetry
  • identical parts
  • automotive engineering
  • structure
  • numerical analysis
  • modal analysis
  • finite element method (FEM)
  • aerospace engineering
  • theoretical models
  • elastic systems
  • eigenvalue
  • eigenmode
  • experimental methods
  • civil engineering

Published Papers (4 papers)

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Research

Open AccessArticle Thermoelasticity of Initially Stressed Bodies with Voids: A Domain of Influence
Symmetry 2019, 11(4), 573; https://doi.org/10.3390/sym11040573
Received: 9 April 2019 / Revised: 16 April 2019 / Accepted: 18 April 2019 / Published: 19 April 2019
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Abstract
In our study, we will extend the domain of influence in order to cover the thermoelasticity of initially stressed bodies with voids. In what follows, we prove that, for a finite time t>0, the displacement field ui, the [...] Read more.
In our study, we will extend the domain of influence in order to cover the thermoelasticity of initially stressed bodies with voids. In what follows, we prove that, for a finite time t > 0 , the displacement field u i , the dipolar displacement field φ j k , the temperature θ and the change in volume fraction ϕ generate no disturbance outside a bounded domain B. Full article
(This article belongs to the Special Issue Symmetry in Applied Continuous Mechanics)
Open AccessArticle Multiparametric Analytical Solution for the Eigenvalue Problem of FGM Porous Circular Plates
Symmetry 2019, 11(3), 429; https://doi.org/10.3390/sym11030429
Received: 11 March 2019 / Revised: 18 March 2019 / Accepted: 20 March 2019 / Published: 22 March 2019
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Abstract
Free vibration analysis of the porous functionally graded circular plates has been presented on the basis of classical plate theory. The three defined coupled equations of motion of the porous functionally graded circular/annular plate were decoupled to one differential equation of free transverse [...] Read more.
Free vibration analysis of the porous functionally graded circular plates has been presented on the basis of classical plate theory. The three defined coupled equations of motion of the porous functionally graded circular/annular plate were decoupled to one differential equation of free transverse vibrations of plate. The one universal general solution was obtained as a linear combination of the multiparametric special functions for the functionally graded circular and annular plates with even and uneven porosity distributions. The multiparametric frequency equations of functionally graded porous circular plate with diverse boundary conditions were obtained in the exact closed-form. The influences of the even and uneven distributions of porosity, power-law index, diverse boundary conditions and the neglected effect of the coupling in-plane and transverse displacements on the dimensionless frequencies of the circular plate were comprehensively studied for the first time. The formulated boundary value problem, the exact method of solution and the numerical results for the perfect and imperfect functionally graded circular plates have not yet been reported. Full article
(This article belongs to the Special Issue Symmetry in Applied Continuous Mechanics)
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Open AccessArticle On the Effect of Thomson and Initial Stress in a Thermo-Porous Elastic Solid under G-N Electromagnetic Theory
Symmetry 2019, 11(3), 413; https://doi.org/10.3390/sym11030413
Received: 22 January 2019 / Revised: 6 March 2019 / Accepted: 14 March 2019 / Published: 20 March 2019
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Abstract
The present work investigated the effect of Thomson and initial stress in a thermo-porous elastic solid under G-N electromagnetic theory. The Thomson coefficient affects the heat condition equation. A constant Thomson coefficient, instead of traditionally a constant Seebeck coefficient, is assumed. The charge [...] Read more.
The present work investigated the effect of Thomson and initial stress in a thermo-porous elastic solid under G-N electromagnetic theory. The Thomson coefficient affects the heat condition equation. A constant Thomson coefficient, instead of traditionally a constant Seebeck coefficient, is assumed. The charge density of the induced electric current is taken as a function of time. A normal mode method is proposed to analyze the problem and to obtain numerical solutions. The results that were obtained for all physical sizes are graphically illustrated and we offer a comparison between the type II G-N theory and the G-N theory of type III, both in the present case and in the absence of specific parameters, as initial stress, pores and the Thomson effect. Some particular cases are also discussed in the context of the problem. The results indicate that the effect of initial stress, Thomson coefficient effect, and magnetic field are very pronounced. Full article
(This article belongs to the Special Issue Symmetry in Applied Continuous Mechanics)
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Open AccessArticle New Exact Solutions of the Generalized Benjamin–Bona–Mahony Equation
Symmetry 2019, 11(1), 20; https://doi.org/10.3390/sym11010020
Received: 5 December 2018 / Revised: 22 December 2018 / Accepted: 25 December 2018 / Published: 27 December 2018
Cited by 1 | PDF Full-text (574 KB) | HTML Full-text | XML Full-text
Abstract
The recently introduced technique, namely the generalized exponential rational function method, is applied to acquire some new exact optical solitons for the generalized Benjamin–Bona–Mahony (GBBM) equation. Appropriately, we obtain many families of solutions for the considered equation. To better understand of the physical [...] Read more.
The recently introduced technique, namely the generalized exponential rational function method, is applied to acquire some new exact optical solitons for the generalized Benjamin–Bona–Mahony (GBBM) equation. Appropriately, we obtain many families of solutions for the considered equation. To better understand of the physical features of solutions, some physical interpretations of solutions are also included. We examined the symmetries of obtained solitary waves solutions through figures. It is concluded that our approach is very efficient and powerful for integrating different nonlinear pdes. All symbolic computations are performed in Maple package. Full article
(This article belongs to the Special Issue Symmetry in Applied Continuous Mechanics)
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