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Time-Dependent Creep Analysis for Life Assessment of Cylindrical Vessels Using First Order Shear Deformation Theory

Published online by Cambridge University Press:  22 February 2017

M. D. Kashkoli ,
Kh. N. Tahan  and
M. Z. Nejad
M. D. Kashkoli
Affiliation:
Mechanical Engineering DepartmentShahid Chamran University of AhvazAhvaz, Iran
Kh. N. Tahan
Affiliation:
Mechanical Engineering DepartmentShahid Chamran University of AhvazAhvaz, Iran
M. Z. Nejad*
Affiliation:
Mechanical Engineering DepartmentYasouj UniversityYasouj, Iran
*
*Corresponding author (m_zamani@yu.ac.ir; m.zamani.n@gmail.com)
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Abstract

In the present study, assuming that the thermo-elastic creep response of the material is governed by Norton's law, an analytical solution has been developed for the purpose of time-dependent creep response for isotropic thick-walled cylindrical pressure vessels. To study the creep response, the first-order shear deformation theory (FSDT) is applied. To the best of the researchers’ knowledge, in the literature, there is no study carried out into FSDT for time-dependent creep response of cylindrical pressure vessels. The novelty of the present work is that it seeks to investigate creep life of the vessels made of 304L austenitic stainless steel (304L SS) using Larson-Miller Parameter (LMP) based on FSDT. Using this analytical solution, stress rates are calculated followed by an iterative method using initial thermo-elastic stresses at zero time. When the stress rates are known, the stresses at any time are obtained and then using LMP, creep life of the vessels are investigated. The Problem is also solved, using the finite element method (FEM), the result of which are compared with those of the analytical solution and good agreement was found. It is found that the temperature gradient distribution has significant influence on the creep life of the cylinder, so that the maximum creep life is located at the outer surface of the cylinder where the minimum value of temperature is located.

Keywords

Cylindrical pressure vesselsCreepFirst-order shear deformation theory (FSDT)Life assessment
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 4 , August 2017 , pp. 461 - 474
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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References

1. Daei Sorkhabi, A. H. and Vakili-Tahami, F., “Experimental Study of the Creep Behavior of Parent, Simulated HAZ and Weld Materials for Cold-Drawn 304L Stainless Steel,” Engineering Failure Analysis, 21, pp. 78–90 (2012).Google Scholar
2. Loghman, A. and Shokouhi, N., “Creep Damage Evaluation of Thick-Walled Spheres Using a Long-Term Creep Constitutive Model,” Journal of Mechanical Science and Technology, 23, pp. 2577–2582 (2009).Google Scholar
3. Dai, H. L. and Zheng, H. Y., “Creep Buckling and Post-Buckling Analyses of a Viscoelastic FGM Cylindrical Shell with Initial Deflection Subjected to a Uniform In-Plane Load,” Journal of Mechanics, 28, pp. 391–399 (2012).Google Scholar
4. Reda Taha, M. M. and Shrive, N. G., “A Model of Damage and Creep Interaction in a Quasi-Brittle Composite Material under Axial Loading,” Journal of Mechanics, 22, pp. 339–347 (2006).Google Scholar
5. Desu, R. K., Krishnamurthy, H. N., Balu, A., Gupta, A. K. and Singh, S. K., “Mechanical Properties of Austenitic Stainless Steel 304L and 316L at Elevated Temperatures,” Journal of Materials Research and Technology, 5, pp. 13–20 (2016).CrossRefGoogle Scholar
6. Oh, H. K., “Determination of Rupture Time and Strain Rate in Creep by Means of the Uniaxial Tensile Test,” Journal of Materials Processing Technology, 59, pp. 294–296 (1996).Google Scholar
7. Francisco dos Reis Sobrinho, J. and Oliveira Bueno, L., “Correlation between Creep and Hot Tensile Behavior for 2.25Cr-1Mo Steel From 500C to 700C. Part 2: An Assessment According to Different Parameterization Methodologies,” Revista Matéria, 10, pp. 463–471 (2012).Google Scholar
8. Nobakhti, H. and Soltani, N., “Evaluating Small Punch Test as Accelerated Creep Test Using Larson–Miller Parameter,” Experimental Techniques, 40, pp. 645–650 (2016).Google Scholar
9. Khoshgoftar, M. J., Rahimi, G. H. and Arefi, M., “Exact Solution of Functionally Graded Thick Cylinder with Finite Length under Longitudinally Non-Uniform Pressure,” Mechanics Research Communications, 51, pp. 61–66 (2013).CrossRefGoogle Scholar
10. Nejad, M. Z. and Rahimi, G. H., “Deformations and Stresses in Rotating FGM Pressurized Thick Hollow Cylinder under Thermal Load,” Scientific Research and Essays, 4, pp. 131–140 (2009).Google Scholar
11. Ghannad, M. and Nejad, M. Z., “Elastic Analysis of Pressurized Thick Hollow Cylindrical Shells with Clamped-Clamped Ends,” Mechanika, 85, pp. 11–18 (2010).Google Scholar
12. Ghannad, M., Nejad, M. Z., Rahimi, G. H. and Sabouri, H., “Elastic Analysis of Pressurized Thick Truncated Conical Shells Made of Functionally Graded Materials,” Structural Engineering and Mechanics, 43, pp. 105–126 (2012).Google Scholar
13. Ghannad, M., Rahimi, G. H. and Nejad, M. Z., “Elastic Analysis of Pressurized Thick Cylindrical Shells with Variable Thickness Made of Functionally Graded Materials,” Composites Part B-Engineering, 45, pp. 388–396 (2013).Google Scholar
14. Nejad, M. Z., Jabbari, M. and Ghannad, M., “Elastic Analysis of FGM Rotating Thick Truncated Conical Shells with Axially-Varying Properties under Non-Uniform Pressure Loading,” Composite Structures, 122, pp. 561–569 (2015)Google Scholar
15. Nejad, M. Z., Jabbari, M. and Ghannad, M., “Elastic Analysis of Axially Functionally Graded Rotating Thick Cylinder with Variable Thickness Under Non-Uniform Arbitrarily Pressure Loading,” International Journal of Engineering Science, 89, pp. 86–99 (2015).Google Scholar
16. Nejad, M. Z., Jabbari, M. and Ghannad, M., “Elastic Analysis of Rotating Thick Cylindrical Pressure Vessels under Non-Uniform Pressure: Linear and Non-Linear Thickness,” Periodical Polytechnical-Mechanical Engineering, 59, pp. 65–74 (2015).Google Scholar
17. Nejad, M. Z., Jabbari, M. and Ghannad, M., “Thermo-Elastic Analysis of Axially Functionally Graded Rotating Thick Cylindrical Pressure Vessels with Variable Thickness under Mechanical Loading,” International Journal of Engineering Science, 96, pp. 1–18 (2015).Google Scholar
18. Jabbari, M., Nejad, M. Z. and Ghannad, M., “Thermo-Elastic Analysis of Axially Functionally Graded Rotating Thick Truncated Conical Shells with Varying Thickness,” Composites Part B-Engineering, 96, pp. 20–34 (2016).Google Scholar
19. Dehghan, M., Nejad, M. Z. and Moosaie, M., “Thermo-Electro-Elastic Analysis of Functionally Graded Piezoelectric Shells of Revolution: Governing Equations and Solutions for Some Simple Cases,” International Journal of Engineering Science, 104, pp. 34–61 (2016).Google Scholar
20. Nejad, M. Z., Jabbari, M. and Ghannad, M., “A General Disk Form Formulation for Thermo-Elastic Analysis of Functionally Graded Thick Shells of Revolution with Arbitrary Curvature and Variable Thickness,” Acta Mechanica, 228, pp. 215–231 (2017).Google Scholar
21. Rusinko, A., “Infuence of Annealing Temperature in the Course of Mechanical-Thermal Treatment upon the Steady-State Creep Rate of Metals,” Journal of Mechanics, 29, pp. 535–538 (2013).CrossRefGoogle Scholar
22. Kobelev, V., “Some Basic Solutions for Nonlinear Creep,” International Journal of Solid and Structure, 51, pp. 3372–3381 (2014).Google Scholar
23. Guo, J., Shi, H. and Meng, W., “Prediction Methodology of Creep Performance from Stress Relaxation Measurements,” Applied Mechanics and Materials, 401, pp. 920–923 (2013).CrossRefGoogle Scholar
24. Loghman, A. and Wahab, M. A., “Creep Damage Simulation of Thick-Walled Tubes Using the Theta Projection Concept,” International Journal of Pressure Vessel and Piping, 67, pp. 105–111 (1996).Google Scholar
25. Yang, Y. Y., “Time-Dependent Stress Analysis in Functionally Graded Materials,” International Journal of Solids and Structure, 37, pp. 7593–7608 (2000).CrossRefGoogle Scholar
26. Kashkoli, M. D. and Nejad, M. Z., “Time-Dependent Thermo-Elastic Creep Analysis of Thick-Walled Spherical Pressure Vessels Made of Functionally Graded Materials,” Journal of Theoretical and Applied Mechanics, 53, pp. 1053–1065 (2015).CrossRefGoogle Scholar
27. Chen, J. J., Tu, S. T., Xuan, F. Z. and Wang, Z. D., “Creep Analysis for A Functionally Graded Cylinder Subjected to Internal and External Pressure,” Journal of Strain Analysis for Engineering Design, 42, pp. 69–77 (2007).Google Scholar
28. Nejad, M. Z. and Kashkoli, M. D., “Time-Dependent Thermo-Creep Analysis of Rotating FGM Thick-Walled Cylindrical Pressure Vessels under Heat Flux,” International Journal of Engineering Science, 82, pp. 222–237 (2014).Google Scholar
29. You, L. H., Ou, H. and Zheng, Z. Y., “Creep Deformations and Stresses in Thick-Walled Cylindrical Vessels of Functionally Graded Materials Subjected to Internal Pressure,” Composite Structures, 78, pp. 285–291 (2007).Google Scholar
30. Loghman, A., Arani, A. G., Amir, S. and Vajedi, A., “Magnetothermoelastic Creep Analysis of Functionally Graded Cylinders, International Journal of Pressure Vessel and Piping, 87, pp. 389–395 (2010).CrossRefGoogle Scholar
31. Nejad, M. Z., Hoseini, Z., Niknejad, A. and Ghannad, M., “Steady-State Creep Deformations and Stresses in FGM Rotating Thick Cylindrical Pressure Vessels,” Journal of Mechanics, 31, pp. 1–6 (2015).Google Scholar
32. Vlachoutsis, S., “Shear Correction Factors for Plates and Shells,” International Journal for Numerical Methods in Engineering, 33, pp. 1537–1552 (1992).Google Scholar
33. Sorkhabi, A. H. D. and Tahami, F. V., “Creep Constitutive Equations for Cold-Drawn 304L Stainless Steel,” Materials Science and Engineering A, 527, pp. 4993–4999 (2010).Google Scholar
34. Larson, F. R. and Miller, J. A., “A time-Temperature Relationship for Rupture and Creep Stresses,” Transaction ASME, 74, pp. 765–771 (1952).Google Scholar