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Research Papers: Design and Analysis

Axisymmetric Elastoplasticity of a Temperature-Sensitive Functionally Graded Cylindrical Vessel

[+] Author and Article Information
Mojtaba Sadeghian

Faculty of Engineering,
Ferdowsi University of Mashhad,
Mashhad 9177948944, Iran
e-mail: mo_sa257@stu-mail.um.ac.ir

Hamid Ekhteraei Toussi

Faculty of Engineering,
Ferdowsi University of Mashhad,
Mashhad 9177948944, Iran

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received May 6, 2012; final manuscript received April 13, 2014; published online September 4, 2014. Assoc. Editor: Pierre Mertiny.

J. Pressure Vessel Technol 136(6), 061203 (Sep 04, 2014) (8 pages) Paper No: PVT-12-1056; doi: 10.1115/1.4027445 History: Received May 06, 2012; Revised April 13, 2014

Based on the small deformation theory and Tresca's yield criterion an axisymmetric, plane strain, elastoplastic, thermal stress analysis for a cylindrical vessel made of functionally graded elastic, perfectly plastic material is offered. Elastic modulus and yield strength coefficients are assumed to be power functions of radius and linear functions of temperature. A cylindrical vessel is taken to be composed of two or more nested fully elastic and perfectly plastic cylinders. By comparing the values of the deformation or stress components in the interfaces of the neighboring cylinders, a system of equations is formed. The interfacial boundary values of the fully elastic or perfectly plastic regions are obtained by simultaneous solution of the resulting interfacial consistency conditions. Having prepared the closed form solutions for the stress fields in purely elastic and purely plastic regions, the distribution of stress throughout the vessel can be obtained. Using this model, in some sample problems, the influences of temperature and pressure on the stress, strain, and plastic zone patterns are studied. The location of plastic zones is obtained for a class of material property compositions.

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References

Chen, W., Ye, G., and Cai, J., 2002, “Thermoelastic Stresses in a Uniformly Heated Functionally Graded Isotropic Hollow Cylinder,” J. Zheijang Univ. Sci., 3, pp. 1–5. [CrossRef]
Kahrobaiyan, M. H., Rahaeifard, M., Tajalli, S. A., and Ahmadian, M. T., 2012, “A Strain Gradient Functionally Graded Euler–Bernoulli Beam Formulation,” Int. J. Eng. Sci., 52, pp. 65–76. [CrossRef]
Ding, H. J., Wang, H. M., and Chen, W. Q., 2003, “A Solution of a Non-Homogeneous Orthotropic Cylindrical Shell for Axisymmetric Plane Strain Dynamic Thermoelastic Problems,” J. Sound Vib., 263, pp. 815–829. [CrossRef]
Liew, K. M., Kitipornchai, S., Zhang, X. Z., and Lim, C. W., 2003, “Analysis of the Thermal Stress Behavior of Functionally Graded Hollow Circular Cylinders,” Int. J. Solids Struct., 40, pp. 2355–2380. [CrossRef]
Wang, X., Pan, E., and Roy, A. K., 2007, “Three-Dimensional Green's Functions for a Steady Point Heat Source in a Functionally Graded Half-Space and Some Related Problems,” Int. J. Eng. Sci., 45, pp. 939–950. [CrossRef]
Shao, Z. S., Wang, T. J., and Ang, K., 2007, “Transient Thermomechanical Stresses of Functionally Graded Cylindrical Panels,” AIAA J., 45, pp. 2487–2496.
Shao, Z. S., and Ma, G. W., 2008, “Thermo-Mechanical Stresses in Functionally Graded Circular Hollow Cylinder With Linearly Increasing Boundary Temperature,” Compos. Struct., 83, pp. 259–265. [CrossRef]
Santos, H., Soares, C. M., Soares, C. A., and Reddy, J. N., 2008, “A Semi-Analytical Finite Element Model for the Analysis of Cylindrical Shells Made of Functionally Graded Materials Under Thermal Shock,” Compos. Struct., 86, pp. 10–21. [CrossRef]
Hosseini, S. M., Akhlaghi, M., and Shakeri, M., 2008, “Heat Conduction and Heat Wave Propagation in Functionally Graded Thick Hollow Cylinder Base on Coupled Thermoelasticity Without Energy Dissipation,” Heat Mass Transfer, 44, pp. 1477–1484. [CrossRef]
Shao, Z. S., Ang, K. K., Reddy, J. N., and Wang, T. J., 2008, “Nonaxisymmetric Thermomechanical Analysis of Functionally Graded Hollow Cylinders,” J. Therm. Stresses, 31, pp. 515–536. [CrossRef]
Gong, W., Lam, K. Y., and Reddy, J. N., 1999, “The Elastic Response of Functionally Graded Cylindrical Shells to Low-Velocity Impact,” Int. J. Impact Eng., 22, pp. 397–417. [CrossRef]
Tutuncu, N., and Ozturk, M., 2001, “Exact Solution for Stresses in Functionally Graded Pressure Vessels,” Compos. Part B, 32, pp. 683–686. [CrossRef]
Nemat-Alla, M., Ahmed, K. I. E., and Hassab-Allah, I., 2009, “Elastic-Plastic Analysis of Two-Dimensional Functionally Graded Materials Under Thermal Loading,” Int. J. Solids Struct., 46, pp. 2774–86. [CrossRef]
Obata, Y., and Noda, N., 1994, “Steady Thermal Stresses in a Hollow Circular Cylinder and a Hollow Sphere of a Functionally Gradient Material,” J. Therm. Stresses, 17, pp. 471–487. [CrossRef]
Reddy, J. N., and Chin, C. D., 1998, “Thermomechanical Analysis of Functionally Graded Cylinders and Plates,” J. Therm. Stresses, 21, pp. 593–626. [CrossRef]
Kim, K., and Noda, N., 2001, “Green's Function Approach to Solution the Transient Temperature for Thermal Stresses of Functionally Graded Materials,” JSME Int. J. Ser. A, 44, pp. 31–36. [CrossRef]
Ye, G. R., Chen, W. Q., and Cai, J. B., 2001, “A Uniformly Heated Functionally Graded Cylindrical Shell With Transverse Isotropy,” Mech. Res. Commun., 28, pp. 535–542. [CrossRef]
Eraslan, A. N., and Akis, T., 2006, “Plane Strain Analytical Solutions for a Functionally Graded Elastic-Plastic Pressurized Tube,” Int. J. Pressure Vessel Piping, 83, pp. 635–644. [CrossRef]
Shen, H. S., 2004, “Thermal Postbuckling Behavior of Functionally Graded Cylindrical Shells With Temperature-Dependent Properties,” Int. J. Solids Struct., 41, pp. 1961–1974. [CrossRef]
Yang, J., Liew, K. M., Wu, Y. F., and Kitipornchai, S., 2006, “Thermo-Mechanical Post-Buckling of, FGM Cylindrical Panels With Temperature-Dependent Properties,” Int. J. Solids Struct., 43, pp. 307–324. [CrossRef]
Peng, X. L., and Li, X. F., 2010, “Thermoelastic Analysis of a Cylindrical Vessel of Functionally Graded Materials,” Int. J. Pressure Vessel Piping, 87, pp. 203–210. [CrossRef]
Akis, T., 2009, “Elastoplastic Analysis of Functionally Graded Spherical Pressure Vessels,” Comput. Mater. Sci., 46, pp. 545–554. [CrossRef]
Jabbari, M., Sohrabpour, S., and Eslami, M. R., 2002, “Mechanical and Thermal Stresses in a Functionally Graded Hollow Cylinder due to Radially Symmetric Loads,” Int. J. Pressure Vessel Piping, 79, pp. 493–497. [CrossRef]
Jabbari, M., Sohrabpour, S., and Eslami, M. R., 2002, “Mechanical and Thermal Stresses in a Functionally Graded Hollow Cylinder due to Radially Symmetric Loads,” Int. J. Pressure Vessel Piping, 79, pp. 493–497. [CrossRef]
Wang, C. T., 1953, Applied Elasticity, McGraw-Hill Book Company, New York.

Figures

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Fig. 1

Heterogeneous cylindrical pressure vessel

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Fig. 2

Stress versus radial distance in different temperatures where plastic zone commences from outside

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Fig. 3

Strain components versus radius in two different temperatures for the FGM cylinder, where plastic zone commences from outside

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Fig. 4

The position of elastic–plastic interface line when plastic zone commences from outside (rp-curve: temperature dependent material, rp*-curve: temperature independent material)

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Fig. 5

Stress versus radius of the cylindrical vessel in different temperature where plastic zone starts in an intermediate radius between inside and outside

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Fig. 6

Strain versus radius of the cylindrical vessel in different temperature where plastic zone starts in an intermediate radius between inside and outside

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Fig. 7

The position of interface line versus temperature where plastic zone starts in an intermediate radius between inside and outside

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Fig. 8

Stress versus radius in different levels of pressure for a cylindrical vessel where plastic zone initiates from inside

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Fig. 9

Strain versus radius in different levels of pressure for a cylindrical vessel where plastic zone initiates from inside

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Fig. 10

The position of the interface line versus pressure where plastic zone initiates from inside

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Fig. 11

The monograph of yielding pattern in different m and n exponents of material property

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