Special Issue "Related Problems of Continuum Mechanics"

A special issue of Mathematical and Computational Applications (ISSN 2297-8747).

Deadline for manuscript submissions: 31 May 2019

Special Issue Editors

Guest Editor
Prof. Dr. Hovik Matevossian

Federal Research Center "Computer Science and Control" & Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
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Interests: mathematical physics; PDE; fluid dynamics; applied mathematics
Guest Editor
Prof. Dr. Mikhail Nikabadze

Department of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
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Interests: applied mathematics; analysis and geometry and topology; shell theory; solid mechanics; solid mechanics of thin bodies; tensor calculus; differential equations

Special Issue Information

Dear Colleagues,

The Special Issue will mainly consist of selected papers presented at the
"
IX Annual International Meeting of the Georgian Mechanical Union and International Conference on Related Problems of Continuum Mechanics" (11–13 October 2018, Kutaisi, Georgia). Papers that are considered to fit the scope of the journal and are of sufficient quality, after evaluation by the reviewers, will be published free of charge.

The main topics of this Special Issue are:

  • Mechanics of Thin Bodies
  • Mathematical Modeling of Multilayered Structures
  • Applied Problems of Continuum Mechanics 
  • Related Problems of Analysis

Prof. Dr. Hovik Matevossian
Prof. Dr. Mikhail Nikabadze
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. Mathematical and Computational Applications is an international peer-reviewed open access quarterly 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 300 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.

Published Papers (1 paper)

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Research

Open AccessFeature PaperArticle
Active Optics in Astronomy: Freeform Mirror for the MESSIER Telescope Proposal
Math. Comput. Appl. 2019, 24(1), 2; https://doi.org/10.3390/mca24010002
Received: 28 November 2018 / Revised: 20 December 2018 / Accepted: 20 December 2018 / Published: 27 December 2018
PDF Full-text (9714 KB) | HTML Full-text | XML Full-text
Abstract
Active optics techniques in astronomy provide high imaging quality. This paper is dedicated to highly deformable active optics that can generate non-axisymmetric aspheric surfaces—or freeform surfaces—by use of a minimum number of actuators. The aspheric mirror is obtained from a single uniform load [...] Read more.
Active optics techniques in astronomy provide high imaging quality. This paper is dedicated to highly deformable active optics that can generate non-axisymmetric aspheric surfaces—or freeform surfaces—by use of a minimum number of actuators. The aspheric mirror is obtained from a single uniform load that acts over the surface of a closed-form substrate whilst under axial reaction to its elliptical perimeter ring during spherical polishing. MESSIER space proposal is a wide-field low-central-obstruction folded-two-mirror-anastigmat or here called briefly three-mirror-anastigmat (TMA) telescope. The optical design is a folded reflective Schmidt. Basic telescope features are 36 cm aperture, f/2.5, with 1.6° × 2.6° field of view and a curved field detector allowing null distortion aberration for drift-scan observations. The freeform mirror is generated by spherical stress polishing that provides super-polished freeform surfaces after elastic relaxation. Preliminary analysis required use of the optics theory of 3rd-order aberrations and elasticity theory of thin elliptical plates. Final cross-optimizations were carried out with Zemax raytracing code and Nastran FEA elasticity code in order to determine the complete geometry of a glass ceramic Zerodur deformable substrate. Full article
(This article belongs to the Special Issue Related Problems of Continuum Mechanics)
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