Elasticity of Crystalline Materials

A special issue of Crystals (ISSN 2073-4352). This special issue belongs to the section "Inorganic Crystalline Materials".

Deadline for manuscript submissions: closed (22 August 2021) | Viewed by 6357

Special Issue Editors


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Guest Editor
Laboratory of Mechanics of Technological Processes, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia
Interests: deformable solid mechanics; anisotropic elasticity; auxetics; elasticity of micro-/nano-tubes

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Guest Editor
Laboratory of Mechanics of Technological Processes, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia
Interests: anisotropic elasticity; auxetics

Special Issue Information

Dear Colleagues,

Modern materials are the basis for new technologies, which places a high demand on them. In modern technologies and modern mechanics, an important place is occupied by the creation of new materials and alloys, a variety of crystalline structures from materials with a nano- and micro-scale structure, composite materials filled with nano- and micro-objects, and so on. Such materials have unique mechanical properties. Their extraordinary mechanical properties have a strong influence on their physical characteristics. The development and use of new crystalline materials in the structural elements and parts of various devices is impossible without a detailed study of their mechanical properties, which, in turn, requires experimental research, the development of mechanical models, and analytical and numerical methods for calculating (modeling) the behavior of the materials, taking into account their structural features.

This Special Issue of Crystals is expected to provide a platform to report results on the elasticity of crystalline materials, relationship between elastic characteristics and crystal structure, and elastic waves. Articles or short reviews covering these topics are welcome.

Potential topics include, but are not limited to, the following:

- Elasticity—stress, strain, and elastic deformations

- Elastic modulus

- Crystalline materials

- Relationship between elastic characteristics and crystal structure

- Crystalline auxetics

- Elastic waves

Prof. Dr. Dmitry Lisovenko
Dr. Mikhail Volkov
Guest Editors

Manuscript Submission Information

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Keywords

  • Elasticity
  • Elastic deformations
  • Elastic modulus
  • Crystalline materials
  • Elasticity on the atomic scale
  • Elastic waves
  • Crystalline auxetics

Published Papers (2 papers)

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Research

18 pages, 3194 KiB  
Article
The Extreme Values of Young’s Modulus and the Negative Poisson’s Ratios of Rhombic Crystals
by Valentin A. Gorodtsov and Dmitry S. Lisovenko
Crystals 2021, 11(8), 863; https://0-doi-org.brum.beds.ac.uk/10.3390/cryst11080863 - 25 Jul 2021
Cited by 4 | Viewed by 2432
Abstract
The extreme values of Young’s modulus for rhombic (orthorhombic) crystals using the necessary and sufficient conditions for the extremum of the function of two variables are analyzed herein. Seven stationary expressions of Young’s modulus are obtained. For three stationary values of Young’s modulus, [...] Read more.
The extreme values of Young’s modulus for rhombic (orthorhombic) crystals using the necessary and sufficient conditions for the extremum of the function of two variables are analyzed herein. Seven stationary expressions of Young’s modulus are obtained. For three stationary values of Young’s modulus, simple analytical dependences included in the sufficient conditions for the extremum of the function of two variables are revealed. The numerical values of the stationary and extreme values of Young’s modulus for all rhombic crystals with experimental data on elastic constants from the well-known Landolt-Börnstein reference book are calculated. For three stationary values of Young’s modulus of rhombic crystals, a classification scheme based on two dimensionless parameters is presented. Rhombic crystals ((CH3)3NCH2COO·(CH)2(COOH)2, I, SC(NH2)2, (CH3)3NCH2COO·H3BO3, Cu-14 wt%Al, 3.0wt%Ni, NH4B5O8·4H2O, NH4HC2O4·1/2H2O, C6N2O3H6 and CaSO4) having a large difference between maximum and minimum Young’s modulus values were revealed. The highest Young’s modulus among the rhombic crystals was found to be 478 GPa for a BeAl2O4 crystal. More rigid materials were revealed among tetragonal (PdPb2; maximum Young’s modulus, 684 GPa), hexagonal (graphite; maximum Young’s modulus, 1020 GPa) and cubic (diamond; maximum Young’s modulus, 1207 GPa) crystals. The analytical stationary values of Young’s modulus for tetragonal, hexagonal and cubic crystals are presented as special cases of stationary values for rhombic crystals. It was found that rhombic, tetragonal and cubic crystals that have large differences between their maximum and minimum values of Young’s modulus often have negative minimum values of Poisson’s ratio (auxetics). We use the abbreviated term auxetics instead of partial auxetics, since only the latter were found. No similar relationship between a negative Poisson’s ratio and a large difference between the maximum and minimum values of Young’s modulus was found for hexagonal crystals. Full article
(This article belongs to the Special Issue Elasticity of Crystalline Materials)
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18 pages, 4435 KiB  
Article
Investigation of Elastic Properties of the Single-Crystal Nickel-Base Superalloy CMSX-4 in the Temperature Interval between Room Temperature and 1300 °C
by Alexander Epishin, Bernard Fedelich, Monika Finn, Georgia Künecke, Birgit Rehmer, Gert Nolze, Claudia Leistner, Nikolay Petrushin and Igor Svetlov
Crystals 2021, 11(2), 152; https://0-doi-org.brum.beds.ac.uk/10.3390/cryst11020152 - 02 Feb 2021
Cited by 20 | Viewed by 3240
Abstract
The elastic properties of the single-crystal nickel-base superalloy CMSX-4 used as a blade material in gas turbines were investigated by the sonic resonance method in the temperature interval between room temperature and 1300 °C. Elastic constants at such high temperatures are needed to [...] Read more.
The elastic properties of the single-crystal nickel-base superalloy CMSX-4 used as a blade material in gas turbines were investigated by the sonic resonance method in the temperature interval between room temperature and 1300 °C. Elastic constants at such high temperatures are needed to model the mechanical behavior of blade material during manufacturing (hot isostatic pressing) as well as during technical accidents which may happen in service (overheating). High reliability of the results was achieved using specimens of different crystallographic orientations, exciting various vibration modes as well as precise measurement of the material density and thermal expansion required for modeling the resonance frequencies by finite element method. Combining the results measured in this work and literature data the elastic constants of the γ- and γ′-phases were predicted. This prediction was supported by measurement of the temperature dependence of the γ′-fraction. All data obtained in this work are given in numerical or analytical forms and can be easily used for different scientific and engineering calculations. Full article
(This article belongs to the Special Issue Elasticity of Crystalline Materials)
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