Deformation Analysis of Elastic-Plastic Two Layer Tubes Subject to Pressure: an Analytical Approach

2004-06-01
Analytical solutions are obtained for axisymmetric elastic-plastic deformations in tightly fitted concentric tubes with fixed ends subjected to either internal or external pressure. Tresca's yield criterion and its associated flow rule are used to estimate the elastic-plastic response of the assembly. The closed form solutions for all elastic-plastic deformation stages are obtained by assuming linear hardening material behavior. Some numerical examples are handled using the mechanical properties of real engineering materials.
Turkish Journal of Engineering and Environmental Sciences

Suggestions

Analytical Solution of Nonlinear Strain Hardening Preheated Pressure Tube
Eraslan, Ahmet Nedim (2008-01-01)
The analytical solution of a nonlinear strain hardening preheated tube subjected to internal pressure is presented. A state of generalized plane strain, small deformations, and temperature gradients are assumed. The analytical plastic model is based on the incremental theory of plasticity, Tresca´s yield criterion, its associated flow rule, and a Swift-type nonlinear hardening law. Solutions for linearly hardening and perfectly plastic materials are also presented.
DEFORMATION ANALYSIS OF TWO LAYER COMPOSITE TUBES UNDER CYCLIC LOADING OF EXTERNAL PRESSURE
Eraslan, Ahmet Nedim (2016-01-01)
The stress response of axially constrained two-layer composite tubes under cyclic loading of external pressure is investigated in this study. Elastic and elastoplastic stress states for the tube assemblies are examined by developing a mathematical model based on Tresca's yield criterion, its associated ow rule, and linear strain hardening. Using this model, the composite tubes with different dimensions are analyzed under one cycle of loading, unloading, and reloading of external pressure. It is observed tha...
Stress analysis in strain hardening two layer composite tubes subjectto cyclic loading of internal pressure
Eraslan, Ahmet Nedim; Akış, Tolga (2015-01-01)
Cyclically loaded two-layer composite tubes in the elastic and elastic-plastic stress states are examined in this study. An analytical model based on Tresca’s yield criterion, its associated flow rule, and linear strain hardening is developed to estimate the stresses in the tube assembly with axially constrained ends. Then a comprehensive analysis is performed for tubes having different dimensions under one cycle of loading, unloading, and reloading of internal pressure. This cycle demonstrates an autofrett...
On the linearly hardening rotating solid shaft
Eraslan, Ahmet Nedim (2003-03-01)
Analytical solutions are obtained for elastic-plastic deformations of a linearly hardening rotating solid shaft with fixed ends and with free ends. All stages of elastic-plastic deformations are studied using Tresca's yield condition and the flow rule associated with it. Expressions for the stresses, displacement and plastic strains for a perfectly plastic shaft can be deduced from the expressions of linearly hardening shaft by letting the hardening parameter vanish. (C) 2002 Editions scientifiques et medic...
Elastoplastic deformations of rotating parabolic solid disks using Tresca's yield criterion
Eraslan, Ahmet Nedim (Elsevier BV, 2003-11)
Analytical solutions for the stress distribution in rotating parabolic solid disks are obtained. The analysis is based on Tresca's yield criterion, its associated flow rule and linear strain hardening. It is shown that, the deformation behavior of the convex parabolic disk is similar to that of the uniform thickness disk, but in the case of concave parabolic solid disk, it is different. In the latter, the plastic core consists of three different plastic regions with different mathematical forms of the yield...
Citation Formats
A. N. Eraslan, “Deformation Analysis of Elastic-Plastic Two Layer Tubes Subject to Pressure: an Analytical Approach,” Turkish Journal of Engineering and Environmental Sciences, pp. 261–268, 2004, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/79309.