Journal of Computational Applied Mechanics

Thermoelastic analysis of rotating thick-walled cylindrical pressure vessels with linear variable thickness under bi-directional temperature

Document Type : Research Paper

Authors

1 Department of Mechanical Engineering, Yasouj University, Yasouj, Iran

2 Mechanical Engineering Faculty, Shahrood University of Technology, Shahrood, Iran

Abstract

Using the disk-form multi-layer method (MLM), a semi-analytical thermoelastic solution for pressurized rotating thick cylindrical shells with varying thickness is obtained. The first-order shear deformation theory (FSDT) is used for displacement and bi-directional temperature fields. The thick shell is divided into some virtual disks, and then a set of differential equations for constant thickness are obtained for each virtual disk. The general solution of the thick cylindrical shell is obtained, by applying continuity conditions between the virtual disks. The governing equations, which are a system of differential equations with variable coefficients, have been solved with MLM. Finally, some numerical results are presented to study the effects of mechanical and thermal loading, on the mechanical behavior of the thick cylindrical shell.

Keywords

Main Subjects

[1]          P. Fatehi, M. Z. Nejad, Effects of material gradients on onset of yield in FGM rotating thick cylindrical shells, International Journal of Applied Mechanics, Vol. 6, No. 04, pp. 1450038, 2014.
[2]          Z. Mazarei, M. Z. Nejad, A. Hadi, Thermo-elasto-plastic analysis of thick-walled spherical pressure vessels made of functionally graded materials, International Journal of Applied Mechanics, Vol. 8, No. 04, pp. 1650054, 2016.
[3]          M. Zamani Nejad, M. Jabbari, A. Hadi, A review of functionally graded thick cylindrical and conical shells, Journal of Computational Applied Mechanics, Vol. 48, No. 2, pp. 357-370, 2017.
[4]          A. Farajpour, A. Rastgoo, Size-dependent static stability of magneto-electro-elastic CNT/MT-based composite nanoshells under external electric and magnetic fields, Microsystem Technologies, Vol. 23, pp. 5815-5832, 2017.
[5]          T. Ebrahimi, M. Z. Nejad, H. Jahankohan, A. Hadi, Thermoelastoplastic response of FGM linearly hardening rotating thick cylindrical pressure vessels, Steel and Composite Structures, An International Journal, Vol. 38, No. 2, pp. 189-211, 2021.
[6]          A. Afshin, M. Zamani Nejad, K. Dastani, Transient thermoelastic analysis of FGM rotating thick cylindrical pressure vessels under arbitrary boundary and initial conditions, Journal of Computational Applied Mechanics, Vol. 48, No. 1, pp. 15-26, 2017.
[7]          M. Kashkoli, K. N. Tahan, M. Nejad, Time-dependent creep analysis for life assessment of cylindrical vessels using first order shear deformation theory, Journal of Mechanics, Vol. 33, No. 4, pp. 461-474, 2017.
[8]          M. Gharibi, M. Zamani Nejad, A. Hadi, Elastic analysis of functionally graded rotating thick cylindrical pressure vessels with exponentially-varying properties using power series method of Frobenius, Journal of Computational Applied Mechanics, Vol. 48, No. 1, pp. 89-98, 2017.
[9]          M. Z. Nejad, T. Taghizadeh, S. J. Mehrabadi, S. Herasati, Elastic analysis of carbon nanotube-reinforced composite plates with piezoelectric layers using shear deformation theory, International Journal of Applied Mechanics, Vol. 9, No. 01, pp. 1750011, 2017.
[10]        M. D. Kashkoli, K. N. Tahan, M. Z. Nejad, Time-dependent thermomechanical creep behavior of FGM thick hollow cylindrical shells under non-uniform internal pressure, International Journal of Applied Mechanics, Vol. 9, No. 06, pp. 1750086, 2017.
[11]        M. Jabbari, M. Z. Nejad, Mechanical and thermal stresses in radially functionally graded hollow cylinders with variable thickness due to symmetric loads, Australian Journal of Mechanical Engineering, 2018.
[12]        M. H. Dindarloo, L. Li, Vibration analysis of carbon nanotubes reinforced isotropic doubly-curved nanoshells using nonlocal elasticity theory based on a new higher order shear deformation theory, Composites Part B: Engineering, Vol. 175, pp. 107170, 2019.
[13]        T. Taghizadeh, M. Z. Nejad, M. D. Kashkoli, Thermo-Elastic Creep Analysis and Life Assessment of Thick Truncated Conical Shells with Variable Thickness, International Journal of Applied Mechanics, Vol. 11, No. 09, pp. 1950086, 2019.
[14]        A. H. Sofiyev, F. Dikmen, Buckling Analysis of Functionally Graded Shells under Mixed‎ Boundary‎ Conditions Subjected to Uniform Lateral Pressure, Journal of Applied and Computational Mechanics, Vol. 7, No. 1, pp. 345-354, 2021.
[15]        T. Taghizadeh, M. Zamani Nejad, Thermo-elastic creep analysis and life assessment of rotating thick pressurized cylindrical shells using third-order shear deformation theory, Journal of Computational Applied Mechanics, Vol. 52, No. 3, pp. 366-393, 2021.
[16]        M. Jabbari, M. Zamani Nejad, Electro-mechanical Analysis of Rotating Cylinder Made of Functionally Graded Piezoelectric Materials: Sensor and Actuator, Amirkabir Journal of Mechanical Engineering, Vol. 51, No. 1, pp. 215-224, 2019.
[17]        M. D. Kashkoli, K. N. Tahan, M. Z. Nejad, Creep damage and life assessment of thick cylindrical pressure vessels with variable thickness made of 304L austenitic stainless steel, Steel and Composite Structures, Vol. 32, No. 6, pp. 701, 2019.
[18]        M. Nejad, Z. Hoseini, A. Niknejad, M. Ghannad, Steady-state creep deformations and stresses in FGM rotating thick cylindrical pressure vessels, Journal of Mechanics, Vol. 31, No. 1, pp. 1-6, 2015.
[19]        M. D. Kashkoli, M. Z. Nejad, Time-dependent thermo-elastic creep analysis of thick-walled spherical pressure vessels made of functionally graded materials, Journal of Theoretical and applied Mechanics, Vol. 53, No. 4, pp. 1053-1065, 2015.
[20]        M. Z. Nejad, P. Fatehi, Exact elasto-plastic analysis of rotating thick-walled cylindrical pressure vessels made of functionally graded materials, International Journal of Engineering Science, Vol. 86, pp. 26-43, 2015.
[21]        M. Z. Nejad, M. D. Kashkoli, Time-dependent thermo-creep analysis of rotating FGM thick-walled cylindrical pressure vessels under heat flux, International Journal of Engineering Science, Vol. 82, pp. 222-237, 2014.
[22]        M. Dehghan, M. Z. Nejad, A. Moosaie, Thermo-electro-elastic analysis of functionally graded piezoelectric shells of revolution: Governing equations and solutions for some simple cases, International Journal of Engineering Science, Vol. 104, pp. 34-61, 2016.
[23]        M. D. Kashkoli, M. Z. Nejad, Time-dependent creep analysis and life assessment of 304 L austenitic stainless steel thick pressurized truncated conical shells, Steel and Composite Structures, An International Journal, Vol. 28, No. 3, pp. 349-362, 2018.
[24]        M. Z. Nejad, N. Alamzadeh, A. Hadi, Thermoelastoplastic analysis of FGM rotating thick cylindrical pressure vessels in linear elastic-fully plastic condition, Composites Part B: Engineering, Vol. 154, pp. 410-422, 2018.
[25]        A. Farajpour, A. Rastgoo, M. Farajpour, Nonlinear buckling analysis of magneto-electro-elastic CNT-MT hybrid nanoshells based on the nonlocal continuum mechanics, Composite Structures, Vol. 180, pp. 179-191, 2017.
[26]        L. Li, X. Li, Y. Hu, Nonlinear bending of a two-dimensionally functionally graded beam, Composite Structures, Vol. 184, pp. 1049-1061, 2018.
[27]        M. Z. Nejad, G. Rahimi, M. Ghannad, Set of field equations for thick shell of revolution made of functionally graded materials in curvilinear coordinate system, Mechanics, Vol. 77, No. 3, pp. 18-26, 2009.
[28]        M. Ghannad, M. Z. Nejad, Elastic analysis of pressurized thick hollow cylindrical shells with clamped-clamped ends, Mechanics, Vol. 85, No. 5, pp. 11-18, 2010.
[29]        Y.-W. Zhang, G.-L. She, Nonlinear primary resonance of axially moving functionally graded cylindrical shells in thermal environment, Mechanics of Advanced Materials and Structures, pp. 1-13, 2023.
[30]        I. Panferov, Stresses in a transversely isotropic conical elastic pipe of constant thickness under a thermal load, Journal of Applied Mathematics and Mechanics, Vol. 56, No. 3, pp. 410-415, 1992.
[31]        B. Sundarasivarao, N. Ganesan, Deformation of varying thickness of conical shells subjected to axisymmetric loading with various end conditions, Engineering fracture mechanics, Vol. 39, No. 6, pp. 1003-1010, 1991.
[32]        I. Mirsky, G. Herrmann, Axially symmetric motions of thick cylindrical shells, 1958.
[33]        F. Witt, Thermal stress analysis of conical shells, Nuclear Structural Engineering, Vol. 1, No. 5, pp. 449-456, 1965.
[34]        K. Jane, Y. Wu, A generalized thermoelasticity problem of multilayered conical shells, International Journal of Solids and Structures, Vol. 41, No. 9-10, pp. 2205-2233, 2004.
[35]        H. R. Eipakchi, S. Khadem, G. Rahimi S, Axisymmetric stress analysis of a thick conical shell with varying thickness under nonuniform internal pressure, Journal of engineering mechanics, Vol. 134, No. 8, pp. 601-610, 2008.
[36]        M. Ghannad, M. Z. Nejad, G. Rahimi, Elastic solution of axisymmetric thick truncated conical shells based on first-order shear deformation theory, Mechanics, Vol. 79, No. 5, pp. 13-20, 2009.
[37]        M. Arefi, G. Rahimi, Thermo elastic analysis of a functionally graded cylinder under internal pressure using first order shear deformation theory, Sci. Res. Essays, Vol. 5, No. 12, pp. 1442-1454, 2010.
[38]        H. R. Eipakchi, Third-order shear deformation theory for stress analysis of a thick conical shell under pressure, Journal of Mechanics of materials and structures, Vol. 5, No. 1, pp. 1-17, 2010.
[39]        M. Ghannad, G. H. Rahimi, M. Z. Nejad, Determination of displacements and stresses in pressurized thick cylindrical shells with variable thickness using perturbation technique, Mechanics, Vol. 18, No. 1, pp. 14-21, 2012.
[40]        Ö. Civalek, Vibration analysis of laminated composite conical shells by the method of discrete singular convolution based on the shear deformation theory, Composites Part B: Engineering, Vol. 45, No. 1, pp. 1001-1009, 2013.
[41]        M. Zamani Nejad, M. Jabbari, M. Ghannad, Elastic analysis of rotating thick truncated conical shells subjected to uniform pressure using disk form multilayers, International Scholarly Research Notices, Vol. 2014, 2014.
[42]        M. Z. Nejad, M. Jabbari, M. Ghannad, A semi-analytical solution of thick truncated cones using matched asymptotic method and disk form multilayers, Archive of Mechanical Engineering, Vol. 61, No. 3, pp. 495--513, 2014.
[43]        M. Ghannad, G. H. Rahimi, M. Z. Nejad, Elastic analysis of pressurized thick cylindrical shells with variable thickness made of functionally graded materials, Composites Part B: Engineering, Vol. 45, No. 1, pp. 388-396, 2013.
[44]        M. Z. Nejad, M. Jabbari, M. Ghannad, Elastic analysis of rotating thick cylindrical pressure vessels under non-uniform pressure: linear and non-linear thickness, Periodica Polytechnica Mechanical Engineering, Vol. 59, No. 2, pp. 65-73, 2015.
[45]        M. Ghannad, M. Jabbari, M. Nejad, An elastic analysis for thick cylindrical pressure vessels with variable thickness, Engineering Solid Mechanics, Vol. 3, No. 2, pp. 117-130, 2015.
[46]        L. Xin, G. Dui, S. Yang, D. Zhou, Solutions for behavior of a functionally graded thick-walled tube subjected to mechanical and thermal loads, International Journal of Mechanical Sciences, Vol. 98, pp. 70-79, 2015.
[47]        H. Gharooni, M. Ghannad, M. Z. Nejad, Thermo-elastic analysis of clamped-clamped thick FGM cylinders by using third-order shear deformation theory, Latin American Journal of Solids and Structures, Vol. 13, pp. 750-774, 2016.
[48]        M. Jabbari, M. Z. Nejad, M. Ghannad, Thermo-elastic analysis of axially functionally graded rotating thick cylindrical pressure vessels with variable thickness under mechanical loading, International journal of engineering science, Vol. 96, pp. 1-18, 2015.
[49]        M. Z. Nejad, M. Jabbari, M. Ghannad, Elastic analysis of axially functionally graded rotating thick cylinder with variable thickness under non-uniform arbitrarily pressure loading, International Journal of Engineering Science, Vol. 89, pp. 86-99, 2015.
[50]        M. Jabbari, N. M. ZAMANI, M. Ghannad, Thermoelastic analysis of rotating thick truncated conical shells subjected to non-uniform pressure, 2016.
[51]        M. Jabbari, M. Z. Nejad, M. Ghannad, Thermo-elastic analysis of axially functionally graded rotating thick truncated conical shells with varying thickness, Composites Part B: Engineering, Vol. 96, pp. 20-34, 2016.
[52]        M. Ghannad, M. Z. Nejad, Elastic solution of pressurized clamped-clamped thick cylindrical shells made of functionally graded materials, Journal of theoretical and applied mechanics, Vol. 51, No. 4, pp. 1067-1079, 2013.
[53]        M. Jabbari, M. Zamani Nejad, M. Ghannad, Stress analysis of rotating thick truncated conical shells with variable thickness under mechanical and thermal loads, Journal of Solid Mechanics, Vol. 9, No. 1, pp. 100-114, 2017.
[54]        A. Yasinskyy, L. Tokova, Inverse problem on the identification of temperature and thermal stresses in an FGM hollow cylinder by the surface displacements, Journal of Thermal Stresses, Vol. 40, No. 12, pp. 1471-1483, 2017.
[55]        M. Z. Nejad, M. Jabbari, M. Ghannad, A general disk form formulation for thermo-elastic analysis of functionally graded thick shells of revolution with arbitrary curvature and variable thickness, Acta Mechanica, Vol. 228, pp. 215-231, 2017.
[56]        A. A. Hamzah, H. K. Jobair, O. I. Abdullah, E. T. Hashim, L. A. Sabri, An investigation of dynamic behavior of the cylindrical shells under thermal effect, Case studies in thermal engineering, Vol. 12, pp. 537-545, 2018.
[57]        M. D. Kashkoli, K. N. Tahan, M. Z. Nejad, Thermomechanical creep analysis of FGM thick cylindrical pressure vessels with variable thickness, International Journal of Applied Mechanics, Vol. 10, No. 01, pp. 1850008, 2018.
[58]        F. Aghaienezhad, R. Ansari, M. Darvizeh, On the Stability of Hyperelastic Spherical and Cylindrical Shells Subjected to External Pressure Using a Numerical Approach, International Journal of Applied Mechanics, Vol. 14, No. 10, pp. 2250094, 2022.
[59]        O. Ifayefunmi, D. Ruan, Buckling of Stiffened Cone–Cylinder Structures Under Axial Compression, International Journal of Applied Mechanics, Vol. 14, No. 07, pp. 2250075, 2022.
[60]        M. Y. Ariatapeh, M. Shariyat, M. Khosravi, Semi-Analytical Large Deformation and Three-Dimensional Stress Analyses of Pressurized Finite-Length Thick-Walled Incompressible Hyperelastic Cylinders and Pipes, International Journal of Applied Mechanics, Vol. 15, No. 01, pp. 2250100, 2023.
[61]        M. Z. Nejad, M. Jabbari, M. Ghannad, Elastic analysis of FGM rotating thick truncated conical shells with axially-varying properties under non-uniform pressure loading, Composite Structures, Vol. 122, pp. 561-569, 2015.
[62]        S. Mannani, L. Collini, M. Arefi, Mechanical stress and deformation analyses of pressurized cylindrical shells based on a higher-order modeling, Defence Technology, Vol. 20, pp. 24-33, 2023.
[63]        J. N. Reddy, 2006, Theory and analysis of elastic plates and shells, CRC press,
[64]        A. P. Boresi, R. J. Schmidt, O. M. Sidebottom, Advanced mechanics of materials fifth edition, John Wiley & Sons, new York, 1992.
[65]        M. Ghannad, M. P. Yaghoobi, 2D thermo elastic behavior of a FG cylinder under thermomechanical loads using a first order temperature theory, International Journal of Pressure Vessels and Piping, Vol. 149, pp. 75-92, 2017.
[66]        K. Mohammadi, M. Mahinzare, K. Ghorbani, M. Ghadiri, Cylindrical functionally graded shell model based on the first order shear deformation nonlocal strain gradient elasticity theory, Microsystem Technologies, Vol. 24, pp. 1133-1146, 2018.
[67]        A. C. Ugural, 2009, Stresses in beams, plates, and shells, CRC press,
[68]        S. Vlachoutsis, Shear correction factors for plates and shells, International Journal for Numerical Methods in Engineering, Vol. 33, No. 7, pp. 1537-1552, 1992.
Journal of Computational Applied Mechanics
Volume 54, Issue 4
December 2023
Pages 515-532
  • Receive Date: 11 September 2023
  • Revise Date: 17 October 2023
  • Accept Date: 17 October 2023