Engineering Transactions, 18, 4, pp. 715-731, 1970

O związkach podstawowych teorii powłok plastycznych

M. Duszek
Instytut Podstawowych Problemów Techniki

A. Sawczuk
Instytut Podstawowych Problemów Techniki

This paper presents a discussion of the relationships of the theory of plastic shells made of incompressible material. Given are the assumptions of the theory departing from the classic assumptions of Kirchhoff-Love, and by means od estimation of the order of magnitude of the particular terms in the expression for velocity and energy dissipation, the corresponding set of forces and velocities of deformations are obtained. The set of equilibrium equations and the boundary conditions are given, together with the principles of determining the equations of the yield surfaces.
Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


P. M. NAGHDI, Foundations of elastic shell theory, Progress in Solid Mechanics, 4, North Holland, Amsterdam 1963, 1 - 90.

W. T. KOITER, On the nonlinear theory of thin elastic shells, Proc. Kon. Ned. Ak. Wet., B69 (1966), 1 -54.

J. L. SANDERS, Nonlinear theories for thin shells, Quart. Appl. Math., 21 (1963), 21 - 36.

Cz. WOŹNIAK, Nieliniowa teoria powłok, PWN, Warszawa 1966.

W. T. KOTTER, Foundations and basic equations of shell theory. A survey of recent progress, Proc. 2nd IUTAM Shell Symp. Copenhagen 1967. Theory of thin shells, Springer, Berlin 1969, 93 - 105.

W. PRAGER, The general theory of limit design, Proc. 8th Int. Congr. Appl. Mech., Istambul 1952, 2 (1956), 65 - 72.

7. А. А. Ильюшин, Пластичность, Гостехиздат, Москва 1948.

J. RYCHLEWSKI, К общей теории идеально-пластических оболочек, Труды VI Всесоюзн.

конф. теории пластин и оболочек, Баку 1966, Наука, Москва 1966, 873-880.

A. SAWCZUK, J. RYCHLEWSKI, On yield surfaces for plastic shells, Arch. Mech. Stos., 12 (1960), 29 - 53.