Variational Criteria for Critical Levels of Internal Energy of a Deformable Solids

Leonid Stupishin

doi:10.4028/www.scientific.net/AMM.578-579.1584

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Device for Time-Varying Mechanical Performance of Columns under Coupling Effects of Load and Environment
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Out-of-Plane Stability Analysis of Plane Tubular Trusses
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Bending Strength Calculation without Axial Force in Case of Annular Section
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Variational Criteria for Critical Levels of Internal Energy of a Deformable Solids
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 578-579Variational Criteria for Critical Levels of...

Variational Criteria for Critical Levels of Internal Energy of a Deformable Solids

Abstract:

Variational formulation of the problem of the analysis and synthesis of deformable structures are proposed. It allows studying nonlinear problems of structural mechanics from a single standpoint, from a consideration of the General variational principle.

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Periodical:

Applied Mechanics and Materials (Volumes 578-579)

Pages:

1584-1587

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.578-579.1584

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Cite this paper

Online since:

July 2014

Authors:

Leonid Stupishin

Keywords:

Critical State Deformable Body, Deformable Solids, Energy Critical Level, Limit State Design, Variational Formulation

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References

[1] Self-Organization in Nonequilibrium Systems: From Dissipative Structures to Order through Fluctuations by G. Nicolis and Ilya Prigogine (Repost) Publisher: John Wiley & Sons | April 29, 1977 | ISBN: 0471024015.

DOI: 10.1126/science.200.4342.678

Google Scholar

[2] V.I. Arnold Mathematical methods of classical mechanics. - Moscow: «Nauka», (1974).

Google Scholar

[3] V.I. Andreev. About one way of optimization of the thick-walled shells. Applied Mechanics and Materials. Vols. 166-169, pp.354-358, Trans Tech Publications, Switzerland, (2012).

DOI: 10.4028/www.scientific.net/amm.166-169.354

Google Scholar

[4] R. Bellman Dynamic Programming. - Moscow: I.L., (1960).

Google Scholar

[5] Courant, R., Gilbert, D., Methods of mathematical physics. T-1. - Moscow: Gostekhizdat. (1951).

Google Scholar

[6] A.G. Sveshnikov, A.N. Bogolyubov, V.V. Kravtsov Lectures on mathematical physics. - Moscow: Publishing House. MSU, (1993).

Google Scholar

[7] L.Y. Stupishin Variational criteria for critical levels of internal energy deforme-alignment of the body. Izvestiy of the Kursk state technical University. 1999. - № 3. - S. 167 - 177.

Google Scholar