Subject of the investigation is the deformation of a perfectly plastic cylinder with uniform temperature inside its cylindrical core and zero surface temperature. The calculation is based on Tresca's yield condition and the flow rule associated to it. For small radii of the hot core. a plastic region appears at the center and expands towards the surface of the cylinder with increasing core temperature. The other possibility is that, depending on the core radius, two plastic regions form one after the other or simultaneously, in the core and at the surface and join in the fully plastic state. The image points of the cylinder lie on different edges and sides of the Tresca-prism in stress space.


Thermal convection in the presence of a vertical magnetic field
Guray, E.; Tarman, H. I. (Springer Science and Business Media LLC, 2007-11-01)
The interaction between thermal convection and an external uniform magnetic field in the vertical is numerically simulated within a computational domain of a horizontally periodic convective box between upper and lower rigid plates. The numerical technique is based on a spectral element method developed earlier to simulate natural thermal convection. In this work, it is extended to a magnetoconvection problem. Its main features are the use of rescaled Legendre-Lagrangian polynomial interpolants in expanding...
Computational and experimental study of high-speed impact of metallic Taylor cylinders
Konokman, H. Emrah; Coruh, M. Murat; Kayran, Altan (Springer Science and Business Media LLC, 2011-08-01)
High-speed impact of metallic Taylor cylinders is investigated computationally and experimentally. On the computational side, a modular explicit finite element hydrocode based on updated Lagrangian formulation is developed. A non-classical contour integration is employed to calculate the nodal forces in the constant strain axisymmetric triangular elements. Cell and nodal averaging of volumetric strain formulations are implemented on different mesh architectures to reduce the incompressibility constraints an...
Tezer, Münevver (Wiley, 1994-05-30)
The magnetohydrodynamic (MHD) flow of an incompressible, viscous, electrically conducting fluid in a rectangular duct with an external magnetic field applied transverse to the flow has been investigated. The walls parallel to the applied magnetic field are conducting while the other two walls which are perpendicular to the field are insulators. The boundary element method (BEM) with constant elements has been used to cast the problem into the form of an integral equation over the boundary and to obtain a sy...
Analytical solution to the bending of a nonlinearly hardening wide curved bar
Arslan, Eray; Eraslan, Ahmet Nedim (Springer Science and Business Media LLC, 2010-02-01)
An analytical solution to the partially plastic deformation of a nonlinearly hardening wide curved bar is derived. The bar considered has a narrow rectangular cross-section and is under pure bending. The analytical treatment is based on Tresca's yield criterion, its associated flow rule and a Swift-type nonlinear hardening law. Taking numerical limits, the complete solution is verified in comparison to the linear hardening solution available in the literature.
Propagation of waves from a spherical cavity with and without a shell embedment
Akkas, N; Zakout, U; Tupholme, GE (Springer Science and Business Media LLC, 2000-01-01)
A spherical cavity in an infinite, elastic medium with and without a shell embedment is subjected to axisymmetric, non-torsional surface loads in the radial and meridional directions. The so-called Residual Variable Method (RVM) is used to obtain exact, closed-form solutions of the wave propagation problems. Some representative numerical results are presented graphically for the stresses created in two realistic loading situations.
Citation Formats
Y. ORCAN and U. GAMER, “ELASTIC-PLASTIC DEFORMATION OF A CENTRALLY HEATED CYLINDER,” ACTA MECHANICA, pp. 61–80, 1991, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65829.