[1] P. L. Gould, and Y. Feng, "
Introduction to Linear Elasticity", Vol. 2, Springer, New York: Springer-Verlag, USA, 1994,
https://doi.org/10.1007/978-3-319-73885-7.
[2] C. R. Calladine, "Theory of Shell Structures", Cambridge University Press, New York, USA,1983.
[3] M. Ghannad, and M. Z. Nejad, "Complete Eastic Solution of Pressurized Thick Cylindrical Shells Made of Heterogeneous Functionally Graded Materials,"
Mechanics, Vol. 18, No. 6, pp. 640-649, 2012, doi:
https://doi.org/10.5755/j01.mech.18.6.3158.
[4] I. Mirsky, and G. Herrmann, "Axially Symmetric Motions of Thick Cylindrical Shells," 1958, Vol. 25, No. 1, pp. 97-102,
Journal of Applied Mechanics, doi:
https://doi.org/10.1115/1.4011695.
[5] J. Reddy, and C. Liu, "A Higher-order Shear Deformation Theory of Laminated Elastic Shells,"
International Journal of Engineering Science, Vol. 23, No. 3, pp. 319-330, 1985, doi:
https://doi.org/10.1016/0020-7225(85)90051-5.
[6] M. Ghannad, and M. Z. Nejad, "Elastic Analysis of Heterogeneous Thick Cylinders Subjected to Internal or External Pressure using Shear Deformation Theory," Acta Polytechnica Hungarica, Vol. 9, No. 6, pp. 117-136, 2012, DOI: 10.12700/APH.9.6.2012.6.8.
[7] H. Eipakchi, G. Rahimi, and S. E. Khadem, "Closed form Solution for Displacements of Thick Cylinders with Varying Thickness Subjected to Non-uniform Internal Pressure,"
Structural Engineering and Mechanics, Vol. 16, No. 6, pp. 731-748, 2003, doi:
https://doi.org/10.12989/sem.2003.16.6.731.
[9] H. Gharooni, and M. Ghannad, "Nonlinear Analytical Solution of Nearly Incompressible Hyperelastic Cylinder with Variable Thickness under Non-uniform Pressure by Perturbation Technique,"
Journal of Computational Applied Mechanics, Vol. 50, No. 2, pp. 395-412, 2019, doi:
https://doi.org/10.22059/JCAMECH.2019.276286.364.
[10] H. Gharooni, and M. Ghannad, "Nonlinear Analysis of Radially Functionally Graded Hyperelastic Cylindrical Shells with Axially-varying Thickness and Non-uniform Pressure Loads Based on Perturbation Theory,"
Journal of Computational Applied Mechanics, Vol. 50, No. 2, pp. 324-340, 2019, doi:
https://doi.org/10.22059/JCAMECH.2019.282149.401.
[11] A. Nadai, "
Theory of Fracture and Flow of Solids", United Engineering Trustees Inc., Book Co., New York, McGraw-Hill, 1950,
https://doi.org/10.1115/1.3636654.
[12] J. Chakrabarty, "Theory of Plasticity", Third Edition, Butterworth-Heinemann, UK: Elsevier, 2006.
[13] A. N. Eraslan, "On the Linearly Hardening Rotating Solid Shaft,"
European Journal of Mechanics-A/Solids, Vol. 22, No. 2, pp. 295-307, 2003, doi:
https://doi.org/10.1016/S0997-7538(02)00002-5.
[14] A. N. Eraslan, "Elastoplastic Deformations of Rotating Parabolic Solid Disks using Tresca's Yield Criterion,"
European Journal of Mechanics-A/Solids, Vol. 22, No. 6, pp. 861-874, 2003, doi:
https://doi.org/10.1016/S0997-7538(03)00068-8.
[15] A. Prokudin, "Exact Elastoplastic Analysis of a Rotating Cylinder with a Rigid Inclusion under Mechanical Loading and Unloading,"
ZAMM‐ Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 100, No. 3, p. e201900213, 2020, doi:
https://doi.org/10.1002/zamm.201900213.
[16] M. Z. Nejad, A. Rastgoo, and A. Hadi, "Exact Elasto-plastic Analysis of Rotating Disks Made of Functionally Graded Materials,"
International Journal of Engineering Science, Vol. 85, pp. 47-57, 2014, doi:
https://doi.org/10.1016/j.ijengsci.2014.07.009.
[17] Q. Zhu,
S. Wang, D. F. Zhang, Y. J. Jiang, and X. Yue, "Elastoplastic Analysis of Ultimate Bearing Capacity for Multilayered Thick-walled Cylinders under Internal Pressure,"
Strength of Materials, Vol. 52, pp. 521-531, 2020, doi:
https://doi.org/10.1007/s11223-020-00203-9.
[18] A. Temesgen, S. Singh, and T. Pankaj, "Elastoplastic Analysis in Functionally Graded Thick-walled Rotating Transversely Isotropic Cylinder under a Radial Temperature Gradient and Uniform Pressure,"
Mathematics and Mechanics of Solids, Vol. 26, No. 1, pp. 5-17, 2021, doi:
https://doi.org/10.1177/1081286520934041.
[19] G. Scalet, and F. Auricchio, "Computational Methods for Elastoplasticity: An Overview of Conventional and Less-conventional Approaches,"
Archives of Computational Methods in Engineering, Vol. 25, pp. 545-589, 2018, doi:
https://doi.org/10.1007/s11831-016-9208-x.
[20] M. L. Wilkins, "Calculation of Elastic-plastic Flow", University of California, Ernest L. Lawrence Radiation Laboratory, Vol. 7322, 1969.
[21] B. Loret, and J. H. Prevost, "Accurate Numerical Solutions for Drucker-Prager Elastic-plastic Models,"
Computer Methods in Applied Mechanics and Engineering, Vol. 54, No. 3, pp. 259-277, 1986, doi:
https://doi.org/10.1016/0045-7825(86)90106-4.
[22] P. J. Yoder, and R. G. Whirley, "On the Numerical Implementation of Elastoplastic Models,"
Journal of Applied Mechanics, Vol. 51, No. 2, pp. 283-288, 1984, doi:
https://doi.org/10.1115/1.3167613.
[23] F. Dunne, "Introduction to Computational Plasticity", New York: Oxford University Press, 2006.
[24] G. Widłak, "Radial Return Method Applied in Thick-walled Cylinder Analysis," Journal of Theoretical and Applied Mechanics, Vol. 48, No. 2, pp. 381-395, 2010, http://warminski.pollub.plwww.ptmts.org.pl/jtam/index.php/jtam/article/view/v48n2p381.
[25] A. Mendelson,
"Plasticity; Theory and Application", Macmillan Series in Applied Mechanics, New York: Macmillan, ISBN: 0898745829, 1968,
Radial return method applied in thick-walled cylinder analysis | Widłak | Journal of Theoretical and Applied Mechanics.
[26] H. Gharooni, M. Ghannad, and 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, doi:
https://doi.org/10.1590/1679-78252254.