Year: 2016
Author: Libiao Xin, Guansuo Dui, Shengyou Yang, Ying Liu
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 2 : pp. 331–352
Abstract
The elastic-plastic response of the functionally graded thick-walled tube subjected to internal pressure is investigated by using the relation of the volume average stresses of constituents and the macroscopic stress of composite material in micromechanics. The tube consists of two idealized isotropic elastic-plastic materials whose volume fractions are power functions of the radius. As the internal pressure increases, the deformations of one phase and two phases from elastic to plastic are analyzed. In order to simplify the calculations we assume both materials with the same Poisson's ratio. By using the assumption of a uniform strain field within the representative volume element and the Tresca yield criterion, the theoretical solutions are obtained for the case of two elastic phases and the case of two plastic phases, and the function of the radial displacement is presented for the case with both elastic and plastic phases. The yield criterion of functionally graded material is given in terms of the yield stresses and volume fractions of constituents rather than Young's modulus and yield stress with different unknown parameters of the whole material in the existing papers. Finally we also discuss the position where the plastic deformation first occurs and the conditions for which material first yields in the tube.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2014.m841
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 2 : pp. 331–352
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Author Details
-
Residual stresses in autofrettaged functionally graded pressurized thick cylinders
Belhaou, Meriem | Laghzale, Nor Eddine | Bouzid, Abdel-HakimInternational Journal of Pressure Vessels and Piping, Vol. 208 (2024), Iss. P.105143
https://doi.org/10.1016/j.ijpvp.2024.105143 [Citations: 0] -
Elastic-plastic stress analysis of shrink-fitted thick FGM cylinders
Zrinej, Samiha | Laghzale, Nor-Eddine | Bouzid, Abdel-HakimFME Transactions, Vol. 52 (2024), Iss. 3 P.371
https://doi.org/10.5937/fme2403371Z [Citations: 0] -
Exact solution of magneto-elastoplastic problem of functionally graded cylinder subjected to internal pressure
Shi, Pengpeng | Xie, JunApplied Mathematical Modelling, Vol. 123 (2023), Iss. P.835
https://doi.org/10.1016/j.apm.2023.08.014 [Citations: 5] -
Elasto-Plastic Stress Analysis in a Tube Made of Isotropic Material and Subjected to Pressure and Mechanical Load
Gupta, K. | Thakur, P. | Bhardwaj, R. K.Mechanics of Solids, Vol. 57 (2022), Iss. 3 P.617
https://doi.org/10.3103/S002565442203013X [Citations: 2] -
A Study of Shrink-Fitting for Optimal Design of Multi-Layer Composite Tubes Subjected to Internal and External Pressure
Kazemzadeh Azad, Saeid | Akış, TolgaIranian Journal of Science and Technology, Transactions of Mechanical Engineering, Vol. 43 (2019), Iss. S1 P.451
https://doi.org/10.1007/s40997-018-0170-0 [Citations: 3] -
Analysis of plastically deformed functionally graded pressurized thick cylinder
Belhaou, Meriem | Laghzale, Nor eddine | Bouzid, HakimArab Journal of Basic and Applied Sciences, Vol. 29 (2022), Iss. 1 P.372
https://doi.org/10.1080/25765299.2022.2132711 [Citations: 2] -
Analytical Solution for Strain Gradient Plasticity of Rotating Functionally Graded Thick Cylinders
Varmazyari, Saeid | Shokrollahi, HassanInternational Journal of Applied Mechanics, Vol. 12 (2020), Iss. 07 P.2050082
https://doi.org/10.1142/S1758825120500829 [Citations: 4]