Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/three-dimensional-axisymmetric-flow-in-perfectly-plastic-metals-96BvbG3mA0
References (12)
-
(2010)
in an Elastic-Plastic -
H. Vaughan (1969)
The response of a plastic cylindrical shell to axial impactZeitschrift für angewandte Mathematik und Physik ZAMP, 20
-
R. Hill (1987)
Constitutive dual potentials in classical plasticityJournal of The Mechanics and Physics of Solids, 35
-
ST Ariaratnam, RN Dubey (1969)
Instability in an elastic-plastic cylindrical shell under axial compressionJ Appl Mech, 36
-
A. Kumar, B. Niyogi (1983)
Bifurcations in axially compressed thick elastic-plastic tubesInternational Journal of Engineering Science, 21
-
N. Jones, Joao Oliveira (1983)
Impulsive loading of a cylindrical shell with transverse shear and rotatory inertiaInternational Journal of Solids and Structures, 19
-
J. Hutchinson, J. Miles (1974)
Bifurcation analysis of the onset of necking in an elastic/plastic cylinder under uniaxial tensionJournal of The Mechanics and Physics of Solids, 22
-
R. Hill (1958)
A general theory of uniqueness and stability in elastic-plastic solidsJournal of The Mechanics and Physics of Solids, 6
-
R. Hill (1956)
On the problem of uniqueness in the theory of a rigid-plastic solid—IVJournal of The Mechanics and Physics of Solids, 5
-
B. Storȧkers (1975)
On buckling of axisymmetric thin elastic-plastic shellsInternational Journal of Solids and Structures, 11
-
O. Bruhns (1980)
On the stability of thin-walled pressure vesselsNuclear Engineering and Design, 58
-
A. Florence, J. Goodier (1968)
Dynamic Plastic Buckling of Cylindrical Shells in Sustained Axial Compressive FlowJournal of Applied Mechanics, 35
- Publisher
- Springer Journals
- Copyright
- Copyright
- Subject
- Engineering; Theoretical and Applied Mechanics; Classical and Continuum Physics; Engineering Fluid Dynamics; Computational Intelligence
- ISSN
- 0567-7718
- eISSN
- 1614-3116
- DOI
- 10.1007/BF02486862
- Publisher site
- See Article on Publisher Site
Abstract
A method is presented for solving the three-dimensional axisymmetric field equations for a perfectly plastic material which obeys the von-Mises yield criterion and the Levy-Mises flow law. The method is used for the particular case in which a small axisymmetric perturbed flow is superposed on a uniform flow without flow reversal taking place. The method then leads to solving a fourth order differential equation for the velocity potential. The special case of a thick cylindrical shell under compressive flow is examined. The solution so obtained, being derived, from the three dimensional theory, includes a correct treatment of transverse shear distortion. A preferred mode of instability is identified having a wave-length in reasonable agreement with that obtained experimentally by other workers.
Journal
Acta Mechanica Sinica – Springer Journals
Published: Aug 12, 2006