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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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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. 11

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

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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. 9

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

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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. 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. 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. 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. 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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