Analytical Solution of Nonlinear Strain Hardening Preheated Pressure Tube

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.
Turkish Journal of Engineering and Environmental Sicences


Deformation Analysis of Elastic-Plastic Two Layer Tubes Subject to Pressure: an Analytical Approach
Eraslan, Ahmet Nedim (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 eng...
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...
Computer Solutions of Plane Strain Axisymmetric Thermomechanical Problems
Eraslan, Ahmet Nedim (2005-08-01)
A simple computational model is developed to estimate elastic, elastic-plastic, fully plastic, and residual stress states in generalized plane strain axisymmetric structures considering temperature dependent physical properties as well as nonlinear isotropic strain hardening. Using the von Mises yield criterion, total deformation theory and a Swift-type nonlinear hardening law, a single nonlinear differential equation governing thermoelastoplastic behavior is obtained. A shooting technique using Newton iter...
Computation of transient thermal stresses in elastic-plastic tubes: Effect of coupling and temperature-dependent physical properties
Eraslan, Ahmet Nedim (2002-06-01)
The objective of this study is to obtain the transient solution of the thermoelastic-plastic deformation of internal heat-generating tubes by considering the thermomechanical coupling effect and the temperature-dependent physical properties of the material. The previously developed steady-state model describing the elastic-plastic behavior of the tubes is modified to obtain the transient solution. The propagation of the elastic-plastic interface for a given heat load is obtained; and the corresponding stres...
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, “Analytical Solution of Nonlinear Strain Hardening Preheated Pressure Tube,” Turkish Journal of Engineering and Environmental Sicences, pp. 41–50, 2008, Accessed: 00, 2021. [Online]. Available: