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Review Article

Variable Material Properties Approach: A Review on Twenty Years of Progress

[+] Author and Article Information
Sasan Faghih

Mechanical and Mechatronics Engineering
Department,
University of Waterloo,
Waterloo, ON N2 L-3G1, Canada
e-mail: sfaghih@uwaterloo.ca

Hamid Jahed

Mechanical and Mechatronics Engineering
Department,
University of Waterloo,
Waterloo, ON N2 L-3G1, Canada
e-mails: hajahedmo@uwaterloo.ca;
hjahed@uwaterloo.ca

Seyed Behzad Behravesh

Mechanical and Mechatronics Engineering
Department,
University of Waterloo,
Waterloo, ON N2 L-3G1, Canada
e-mail: sbbehravesh@uwaterloo.ca

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received March 24, 2017; final manuscript received January 7, 2018; published online August 2, 2018. Assoc. Editor: Reza Adibiasl.

J. Pressure Vessel Technol 140(5), 050803 (Aug 02, 2018) (15 pages) Paper No: PVT-17-1059; doi: 10.1115/1.4039068 History: Received March 24, 2017; Revised January 07, 2018

This paper provides a critical review of the advancements made in the application of the variable material properties (VMP) method over the past two decades. The VMP method was originally proposed in 1997 (Jahed and Dubey, 1997, ASME J. Pressure Vessel Technol., 119(3), pp. 264–273; Jahed et al., 1997, Int. J. Pressure Vessels Piping, 71(3), pp. 285–291) and further developed in 2001 (Parker, 2001, ASME J. Pressure Vessel Technol., 123(3), p. 271) as an elastoplastic method for the analysis of axisymmetric problems. The model was originally developed as a boundary value problem to predict the spatial distribution of stress. However, since 1997, it has been extended to include thermal effects to solve thermomechanical residual stresses; time domain to solve creep of disks and cylinders; finite deformation to solve cylinders under large strains; numerical solutions to make them more efficient; and asymmetric hardening behavior to accommodate nonslip deformation modes. These advancements, made over the past 20 years, are reviewed in this paper, and future trends and frontiers are discussed.

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Jankowska, M. A. , and Kolodziej, J. A. , 2015, “ On the Application of the Method of Fundamental Solutions for the Study of the Stress State of a Plate Subjected to Elastic—Plastic Deformation,” Int. J. Solids Struct., 67–68, pp. 139–150. [CrossRef]
Elleithy, W. , 2008, “ Analysis of Problems in Elasto-Plasticity Via an Adaptive FEM-BEM Coupling Method,” Comput. Methods Appl. Mech. Eng., 197(45–48), pp. 3687–3701. [CrossRef]
Elleithy, W. , and Langer, U. , 2008, “ Efficient Elasto-Plastic Analysis Via an Adaptive Finite Element-Boundary Element Coupling Method,” 30th International Conference on Boundary Elements and Other Mesh Reduction Methods, New Forest, UK, Sept. 12–14, pp. 229–238.
Elleithy, W. , and Grzhibovskis, R. , 2009, “ An Adaptive Domain Decomposition Coupled Finite Element–Boundary Element Method for Solving Problems in Elasto-Plasticity,” Int. J. Numer. Methods Eng., 79(8), pp. 1019–1040. [CrossRef]
Cui, X. Y. , Liu, G. R. , Li, G. Y. , Zhang, G. Y. , and Sun, G. Y. , 2009, “ Analysis of Elastic-Plastic Problems Using Edge-Based Smoothed Finite Element Method,” Int. J. Pressure Vessels Piping, 86(10), pp. 711–718. [CrossRef]
Jahed, H. , Farshi, B. , and Hosseini, M. , 2006, “ Fatigue Life Prediction of Autofrettage Tubes Using Actual Material Behaviour,” Int. J. Pressure Vessels Piping, 83(10), pp. 749–755. [CrossRef]
Jahed, H. , Farshi, B. , and Hosseini, M. , 2007, “ The Actual Unloading Behavior Effect on Thermo-Mechanical Stress Intensity Factor and Life of Autofrettage Tubes,” Int. J. Fatigue, 29(2), pp. 360–369. [CrossRef]
Levy, C. , Perl, M. , and Kotagiri, S. , 2006, “ The Bauschinger Effect's Influence on the SIFs of Multiple Longitudinal Coplanar Cracks in Autofrettaged Pressurized Cylinders,” Eng. Fract. Mech., 73(13), pp. 1814–1825. [CrossRef]
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Ma, Q. , Levy, C. , and Perl, M. , 2008, “ The Bauschinger Effect on 3-D SIFs for Networks of Radial and Longitudinally-Coplanar Semi-Elliptical Internal Surface Cracks in Autofrettaged Pressurized Thick-Walled Cylinders,” Comput. Model. Eng. Sci., 29(2), pp. 95–110.
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Figures

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Fig. 1

Cumulative Publication on cylindrical vessel and VMP cumulative citations since 2000

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Fig. 2

Major application areas of the VMP method

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Fig. 3

Timeline showing major advancements in the application of VMP method over the past two decades; topics at the top of the timeline show major application areas and topics at the bottom of the timeline refer to key publications

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Fig. 4

Illustration of the VMP approach for an axisymmetric problem: (a) notched sample under biaxial loading and (b) projection method [2]

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Fig. 5

Isolated strip in a pressurized thick-walled cylinder

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Fig. 6

Actual loading-unloading behavior of (a) NiCrMoV125 steel [5] and (b) HB7 [6] at different overstrain levels, and comparison with isotropic and kinematic hardening predictions

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Fig. 7

Comparison of residual stress prediction of VMP method with experimental results; results are for high strength steel AISI 4333 M4 with a tube of nominal bore diameter of 30 mm and outside diameter of 62 mm autofrettaged to a pressure of 662 MPa [2]

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Fig. 8

Hysteresis loops for AZ31B at different strain amplitudes (ε amp) [97]

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Fig. 9

First cycle and 10th cycle hysteresis loops for AZ31B [101]

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Fig. 10

Stress response of an asymmetric cylinder under internal pressure and axial tension, VMP [103] versus experiments [108]

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Fig. 11

Elastoplastic boundary of a cold-worked hole; VMP versus analytical and experimental results. Reprinted with permission from Jahed et al. [140]. (Permission granted by SAGE journals copyright 2000).

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Fig. 12

Spatial distribution of effective moduli in an elastoplastic medium [1]

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