×

Energy criterion of the stability of elastic bodies which does not require the determination of the initial stress-strain state. (English. Russian original) Zbl 0181.52802

PMM, J. Appl. Math. Mech. 32, 726-731 (1968); translation from Prikl. Mat. Mekh. 32, 703-707 (1968).

Full Text: DOI

References:

[1] Alfutov, N. A.; Balabukh, L. I., On the possibility of solving plate stability problems without a preliminary determination of the initial stress state, PMM, Vol.31, N≗4 (1967) · Zbl 0164.55404
[2] Novozhilov, V. V., Principles of Nonlinear Elasticity Theory (1948), Gostekhizdat: Gostekhizdat Moscow-Leningrad
[3] Bolotin, V. V., On the reduction of three-dimensional to one and two-dimensional problems of the theory of elastic stability, (Sb.: Stability Problems in Structural Mechanics (1965), Stroiizdat: Stroiizdat Moscow) · Zbl 0121.41305
[4] Bryan, G. H., On the stability of a plane plate under thrusts in its own plane, (Proc.London Math.Soc., Vol.22 (1891)) · JFM 23.1036.02
[5] Reissner, H., Energiekriterium der Knicksicherheit, Z.angew.Math.Mech., Bd.5, 475 (1925), Ht.6 · JFM 51.0638.03
[6] Leibenzon, L. S., Investigations on Mathematical Physics, Pt.2. On an approximate method of investigating the stability of elastic equilibrium based on direct application of the principle of virtual displacements, Uch.zapiski lur’evsk.Univ., N≗5 (1917)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.