Tresca's yield criterion and linearly hardening rotating solid disks having hyperbolic profiles

An analytical solution for the stress distribution in rotating hyperbolic solid disk is obtained under plane stress assumption. The analysis is based on Tresca's yield criterion, its associated flow rule and linear strain hardening material behavior. It is shown that the deformation behavior of the hyperbolic solid disk is different from that of the constant thickness disk. The plastic core consists of three different plastic regions with different mathematical forms of the yield criterion. Accordingly, three different stages of elastic-plastic deformation can be distinguished. The lower and upper bounds of the limit angular velocities for each stage are determined. It is also shown mathematically that in the limiting case the hyperbolic disk solution reduces to the solution of rotating uniform thickness solid disk.


ORCAN, Y (Elsevier BV, 1994-06-01)
The exact solution of the distribution of stress and deformation in an elastic-perfectly plastic cylindrical rod with uniform internal heat generation under generalized plane strain condition is presented. The treatment is based on Tresca's yield condition and the associated flow rule. The stress image points of the outer and inner plastic regions lie on two different edges of Tresca prism. With increasing heat generation parameter, the image points of the intermediate regions spread out through two side re...
ERTEPINAR, A (Elsevier BV, 1991-01-01)
The finite strain behavior of cylindrical tubes, made of a polynomial compressible material and subjected to the simultaneous action of constant spin and uniform external circumferential shear, is investigated using the theory of finite elasticity. The inner surface of the tube is assumed to be perfectly bonded to a rigid shaft. The governing quasi-linear system of two ordinary differential equations is solved using a shooting method. Numerical results are generated to analyze, qualitatively, the effects...
A computational procedure for estimating residual stresses and secondary plastic flow limits in nonlinearly strain hardening rotating shafts
Eraslan, Ahmet Nedim (Springer Science and Business Media LLC, 2005-03-01)
A computational procedure to estimate the residual stress distributions and the limit angular speeds for avoiding secondary plastic deformation in nonlinearly strain hardening rotating elastic-plastic shafts is given. The model is based on von Mises yield condition, J(2) deformation theory and a Swift-type hardening law. The boundary value problem for the governing nonlinear differential equation is solved by a shooting method using Newton iterations with numerically approximated tangent. Solid as well as h...
Optimum design of pın-jointed 3-D dome structures using global optimization techniques
Saraç, Yavuz; Hasançebi, Oğuzhan; Department of Civil Engineering (2005)
Difficult gradient calculations, converging to a local optimum without exploring the design space adequately, too much dependency on the starting solution, lacking capabilities to treat discrete and mixed design variables are the main drawbacks of conventional optimization techniques. So evolutionary optimization methods received significant interest amongst researchers in the optimization area. Genetic algorithms (GAs) and simulated annealing (SA) are the main representatives of evolutionary optimization m...
Axisymmetric crack problem for a hollow cylinder imbedded in a dissimilar medium
Kadıoğlu, Fevzi Suat (Elsevier BV, 2005-05-01)
The analytical solution for the linear elastic problem of flat annular crack in a transversely isotropic hollow cylinder imbedded in a transversely isotropic medium is considered. The hollow cylinder is assumed to be perfectly bonded to the surrounding medium. This structure, which can represent a cylindrical coating-substrate system, is subjected to uniform crack surface pressure. Because of the geometry and the loading, the problem is axisymmetric. The z = 0 plane on which the crack lies, is also a plane ...
Citation Formats
A. N. Eraslan, “Tresca’s yield criterion and linearly hardening rotating solid disks having hyperbolic profiles,” FORSCHUNG IM INGENIEURWESEN-ENGINEERING RESEARCH, pp. 17–28, 2004, Accessed: 00, 2020. [Online]. Available: