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

Leonid Stupishin

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

Paper Titles

Device for Time-Varying Mechanical Performance of Columns under Coupling Effects of Load and Environment
p.1567

Ultimate Strength Analysis of Open Box Girders under Bending Moment and Lateral Pressure
p.1571

Out-of-Plane Stability Analysis of Plane Tubular Trusses
p.1575

Bending Strength Calculation without Axial Force in Case of Annular Section
p.1580

Variational Criteria for Critical Levels of Internal Energy of a Deformable Solids
p.1584

Analysis on Safety Assessment of Reinforced Concrete Members
p.1588

Study on the Structure Safety Appraisal of Sluice Frame Structure on the Yellow River
p.1591

Deformation Behavior of Corroded Steel Bar Based on Viscoelastic Theory
p.1595

The Research on the Stability of the Steel Tube Filled with Steel-Reinforce Concrete Subjected to Axial Compression after High Temperature
p.1601

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.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 578-579)

Pages:

1584-1587

DOI:

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

Citation:

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

Export:

RIS, BibTeX

Price:

Permissions:

Request Permissions

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