Semi-Inverse Solution of a Pure Beam Bending Problem in Gradient Elasticity Theory: The Absence of Scale Effects

Ломакин, Е. В.; Lurie, S. A.; Rabinskiy, Lev N.; Solyaev, Yury

doi:10.1134/s1028335818040031

Cited by 6 publications

(3 citation statements)

References 12 publications

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“…8 of Regulation 714/2009). Besides, the important element of supply security is the mechanism of calculation of cross-border flows of electricity and tariffs for authorisation to networks, one of the principles of which is provision of investment in development of supply and network security in general [37][38][39][40][41][42][43][44][45][46][47][48]. Also, the mechanism of compensation between transmission system operators for costs incurred as a result of hosting cross-border flows of electricity on their networks (art.…”

Section: Resultsmentioning

confidence: 99%

International regulation of the restriction of the use of environment

Kapitonov

2019

PEN

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Agreements in the field of energy involve possibilities to lower consumption of natural resources and increase in production of renewable sources of energy. However, such interactions between goals and average requirements of an energy complex can be successful only when concluding similar international agreements. As the relevance of the study is energy sector of developed countries, which strives for balance of sources of electricity. Novelty of the study is determined by the fact that for the first time agreements in the field of environmental conservation are considered as a reasonable compromise between the necessity to expand the number of applicable technologies and requirement to lower overall consumption. In this regard, the authors consider as the research object the European Union as the most harmonic combination of ecological requirements to the use of energy and general desire to compensate ecological damage. In the article, the legal framework of the agreement on energy regulation in block formation has been analysed using the example of the European Union. Practical application of the study is determined by that forming of coherent energy agreement depends on not only efforts of separate states, but also on the extent to which these conditions will be combined with economic policies and the quality content of energy conservation policies.

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Section: Resultsmentioning

confidence: 99%

International regulation of the restriction of the use of environment

Kapitonov

2019

PEN

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“…It should be noted that wave heat transfer occurs not only because of the presence of the relaxation time but also because of the nonlinearity of the thermal physical properties of the medium, depending on temperature (Samarskiy et al, 1987;Kolesnik, 2014;Kolesnik et al, 2015;Gidaspov and Severina, 2015;Gidaspov et al, 2016;Lurie et al, 2017;Bulychev et al, 2017;Bulychev et al, 2018a;Lomakin et al, 2018;Gidaspov et al, 2018;Bulychev et al, 2018b). Paper (Formalev, 2012) contains the first theoretically obtained thermal shock waves in nonlinear medium and the conditions of their occurrence.…”

Section: Introductionmentioning

confidence: 99%

Origination and Propagation of Temperature Solitons With Wave Heat Transfer in the Bounded Area During Additive Technological Processes

Формалев¹,

Колесник²,

Kuznetsova³

et al. 2019

PTQ

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Within this work, based on analyses of problems on wave heat transfer in bounded bodies, the theory of thermally isolated waves (solitons) is developed to investigate the heat transfer processes in the initial time vicinity and in the vicinity of the bounded body, that is the time scales are commensurate with the relaxation time (nanoseconds), and the scales of the spatial variable are measured in nanometers. A new analytical solution of the wave heat transfer based on the heat conduction equation of hyperbolic type under the action of a series of solitons was received, based on which the interaction of individual solitons with each other, absorption and reflection of the solitons from the body boundaries was analyzed. Analysis of a large number of results made clear that thermal solitons reflect not as mechanical ones, since first there is absorption of the soliton thermal energy by the heat-insulated boundary on the heat-insulated walls, and then the energy is rejected by the thermal conductivity in the opposite direction. It was found that the temperature gradient inside the soliton is negative in the forward direction and positive in the reflected direction. The results of the paper can be used in thermal interaction of high-power radiation with solid surfaces, as well as in the problems of quantum mechanics.

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“…0 (Equations[16][17][18]. Using the solution of Equations 16-18, the expressions for the constants are gotten (Equations 19-21).…”

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confidence: 99%

Investigation of the Influence of Thermal and Climate Effects on the Performance of Tiled Thermal Protection of Spacecraft

Rabinskiy¹,

Tushavina²

2019

PTQ

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The article discusses the thermal protection of spacecraft under various types of thermal and climatic influences. During the pre-launch preparation, several types of icing are possible on the surface of the tiled structure, consisting of quartz heat-shielding tiles. It is very important in the process of operation, to determine normal and shear stresses during icing and the impact of ice formed in the tile gaps. It is necessary to calculate the strength and performance of the tiled thermal protection in active stages of flight of spacecraft. A mathematical model was constructed that allows, with a sufficient degree of accuracy, to research the tiled structure for strength, shear and tearing of the tile when exposed to ice. Calculations for strength, shear, and tearing of tiles under the influence of ice were performed. Theoretical and experimental studies were compared. The performed calculations made it possible to show that the tile will not collapse under the considered load. The strength of the substrate withstands the emerging shear forces. The values of the adhesion strength of ice appearing on the surface of quartz fiber heat-protective coating were obtained. It was demonstrated that the proportion of tangents in the stressed state of the tile does not exceed 10%. The proposed mathematical model for studying the characteristics of the tiled thermal protection of a spacecraft adequately describes the processes under study. Experimental studies have shown satisfactory agreement with theoretical results. The calculations performed to determine the ultimate shear stresses in the substrate showed that the strength of the substrate withstands the emerging shear forces. Consideration of climatic conditions can significantly reduce risks in the design of thermal protection of modern aircraft. The results of this study can be used in further studies, and they can also be taken into account in the construction of aircraft.

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Semi-Inverse Solution of a Pure Beam Bending Problem in Gradient Elasticity Theory: The Absence of Scale Effects

Cited by 6 publications

References 12 publications

International regulation of the restriction of the use of environment

International regulation of the restriction of the use of environment

Origination and Propagation of Temperature Solitons With Wave Heat Transfer in the Bounded Area During Additive Technological Processes

Investigation of the Influence of Thermal and Climate Effects on the Performance of Tiled Thermal Protection of Spacecraft

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