Thermo-elastic/plastic semi-analytical solution of incompressible functionally graded spherical pressure vessel under thermo-mechanical loading

2011 ◽  
Vol 222 (1-2) ◽  
pp. 161-173 ◽  
Author(s):  
S. Rash Ahmadi ◽  
M. Sheikhlou ◽  
V. Mahmood Gharebagh
Keyword(s):  
Analytical Solution ◽  
Mechanical Loading ◽  
Pressure Vessel ◽  
Functionally Graded ◽  
Elastic Plastic ◽  
Spherical Pressure

Distribution Parameter Optimization of an FGM Pressure Vessel

2011 ◽  
Vol 320 ◽  
pp. 404-409
Author(s):  
Ze Wu Wang ◽  
Shu Juan Gao ◽  
Qian Zhang ◽  
Pei Qi Liu ◽  
Xiao Long Jiang
Keyword(s):  
Analytical Solution ◽  
Pressure Vessel ◽  
Material Properties ◽  
Optimization Design ◽  
Optimal Solution ◽  
Functionally Graded ◽  
Material Distribution ◽  
Optimization Scheme ◽  
Graded Material ◽  
Optimal Material

Functionally graded material (FGM) is well-known as one of the most promising materials in the 21stcentury, which has become the hot issue on its mechanical behavior and composition design. The optimization design of the material distribution properties for an FGM hollow vessel subjected to internal pressure were investigated in this paper. By constructing an exponentially function determining the material properties, the general analytical solution of the stresses of the FGM pressure vessel was given based on the Euler-Cauchy formula. And then, an optimization model for obtaining the optimal material distribution of FGM vessel was proposed coupling the general finite element (FE) code. The discrepancy between the analytical solution and the numerical solution was about 2%, which verified the reliability of the proposed models, and the optimization results also proved the feasibility of proposed optimization scheme because of arriving at the optimal solution in a few iterations. Results obtained would be helpful in designing an FGM pressure vessel.

Analytical Solution for Strain Gradient Plasticity of Rotating Functionally Graded Thick Cylinders

2020 ◽  
Vol 12 (07) ◽  
pp. 2050082
Author(s):  
Saeid Varmazyari ◽  
Hassan Shokrollahi
Keyword(s):  
Analytical Solution ◽  
Strain Gradient ◽  
Yield Criterion ◽  
External Pressure ◽  
Functionally Graded ◽  
Strain Gradient Theory ◽  
Gradient Theory ◽  
Gradient Plasticity ◽  
Elastic Plastic ◽  
Von Mises

The elastic-plastic deformation of rotating functionally graded (FG) cylinders is investigated based on strain gradient theory. The governing equations are obtained based on the modified von Mises yield criterion, linear work hardening and plane strain assumptions. An analytical solution for the obtained equations is presented by which the deformation, strain and stress components for any point of the cylinder can be obtained. After verification of the formulation by comparing the obtained results with the reported results in the literature, some studies are presented to investigate the effects of cylinder size on the stress distribution and elastic-plastic interface radius of the rotating FG cylinder under internal and external pressure. The effects of the strain gradient coefficient, angular velocity, and the heterogeneity constant of the material are investigated. The results show that increasing the heterogeneity constant of the material and decreasing the cylinder radius lead to increasing the strength of material and decreasing the elastic-plastic interface radius. Moreover, classical theory is compared with this study and the range of the sizes in which both the theories leading to the same results, are defined.

Some classical problems in rate-independent plasticity

2020 ◽  
pp. 434-459
Author(s):  
Lallit Anand ◽  
Sanjay Govindjee
Keyword(s):  
Plane Strain ◽  
Analytical Solutions ◽  
Pressure Vessel ◽  
Plastic Response ◽  
Spring Back ◽  
Elastic Plastic ◽  
Initial Yield ◽  
Cylindrical Pressure Vessel ◽  
Round Bar ◽  
Spherical Pressure

This chapter presents analytical solutions to some classical problems in rate-independent plasticity. Solutions are presented for the elastic-plastic torsion of a round bar, including spring back; for the elastic-plastic response of a thick-walled spherical pressure vessel, including initial yield, partial yield, full yield, and unloading; for the incompressible elastic-plastic response of a plane-strain thick-walled cylindrical pressure vessel, including initial yield, partial yield, and full yield.

Elastic-Plastic Analysis of Functionally Graded Spherical Pressure Vessels Using Strain Gradient Plasticity

2017 ◽  
Vol 09 (08) ◽  
pp. 1750118 ◽  
Author(s):  
Hassan Shokrollahi
Keyword(s):  
Internal Pressure ◽  
Strain Gradient ◽  
Plastic Region ◽  
Pressure Vessels ◽  
Functionally Graded ◽  
Strain Gradient Plasticity ◽  
Gradient Plasticity ◽  
Elastic Plastic ◽  
Plastic Analysis ◽  
Spherical Pressure

In this paper, formulation of elastic-plastic analysis of functionally graded (FG) spherical pressure vessels under internal pressure based on strain gradient plasticity is presented. The material properties are assumed to vary in a power law manner in the radial direction. A linear hardening rule for the material behavior in the plastic region is assumed. After deriving the governing differential equations, a closed form solution is obtained. At the first step, the obtained results were validated against other available results in the literature. Then the effects of changing the inner radius from a few micro-meters to one meter, FG power index and strain gradient coefficient on stress and plastic region size are studied based on classical and strain gradient theories. Also, the effect of internal pressure on the size of plastic region is studied.

scholarly journals Thermo-Mechanical Autofrettage Process of Spherical Vessel

2020 ◽  
Vol 9 (3) ◽  
pp. 1109-1114
Keyword(s):  
Stress Distribution ◽  
Pressure Vessel ◽  
Mechanical Load ◽  
Pressure Vessels ◽  
Stress Distributions ◽  
Spherical Vessel ◽  
Yield Criteria ◽  
Elastic Plastic ◽  
Spherical Pressure ◽  
Plastic Stress

In this analysis results of Elastic-plastic stress distributions in a spherical pressure vessel with ThermoMechanical loads are discussed. Results of study are obtained with Finite element (FE) analysis. A quarter of pressure vessel is considered and modeled with all realistic details. In addition to presenting the stress distribution of the pressure vessel, in this work the effects thermo-Mechanical autofrettage on different limit strength for spherical pressure vessels are investigated. The effect of changing the load and various geometric parameters is investigated. Consequently, it can be observed that to be the significant differences between the present thermo-Mechanical autofrettage and earlier (Mechanical autofrettage and Thermal autofrettage) method of autofrettage for the predictions of Elastic-plastic stress distributions of spherical pressure vessels. Some realistic examples are considered and results are obtained for the whole vessel by applying thermal load and mechanical load. The actual material curve is used for loading, unloading and residual stress behavior of spherical pressure vessel. Kinematic hardening material is considered and effect of Bauschinger effect factors are studied with thermo-mechanical load. Equivalent Von -Mises yield criteria is used for yield criteria. Behavior of elastic-perfectly plastic is also studied and compared. Influence of Thermo-Mechanical autofrettage over stress distribution and load bearing capacity of spherical vessel is examined. The question of whether Thermo-mechanical autofrettage gives more favorable residual compressive stress distribution and therefore extension of pressure vessel life is investigated in this analysis.

Thermomechanical Analysis of Pressure Vessels With Functionally Graded Material Coating

2015 ◽  
Vol 138 (1) ◽  
Author(s):  
Z. W. Wang ◽  
Q. Zhang ◽  
L. Z. Xia ◽  
J. T. Wu ◽  
P. Q. Liu
Keyword(s):  
Analytical Solution ◽  
Functionally Graded Material ◽  
Pressure Vessel ◽  
Thermomechanical Analysis ◽  
Thermomechanical Properties ◽  
Pressure Vessels ◽  
Functionally Graded ◽  
Fe Method ◽  
Thin Walled Structures ◽  
Graded Material

Pressure vessels covered with overlaying layer or coating are widely applied due to its strong heat resistance, corrosion resistance, and load-carrying capacity. However, limited work has been reported on investigating the thermomechanical behavior of a pressure vessel with a functionally graded material (FGM) coating. In this study, a closed-form analytical solution was first derived for calculating the stress distribution in a pressure vessel with an FGM coating subjected to an internal pressure and a thermal load. Afterwards, a numerical solution was also established for validating the analytical solution using finite element (FE) method. It was found out that the analytical solution agreed well with the numerical ones, and the thermomechanical properties of FGM coating were also discussed in detail. This work would be helpful for better understanding and scientific design of pressure vessels with an FGM coating or related thin-walled structures.

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