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Research Papers: Pipeline Systems

Thermodynamically Consistent Anisotropic Plasticity Model

[+] Author and Article Information
Alexander A. Lukyanov

Crashworthiness, Impact and Structural Mechanics (CISM), School of Engineering, Cranfield University, Cranfield, Bedford MK43 OAL, United Kingdomaaluk@mail.ru

J. Pressure Vessel Technol 130(2), 021701 (Mar 17, 2008) (6 pages) doi:10.1115/1.2894291 History: Received January 13, 2007; Revised November 27, 2007; Published March 17, 2008

The objective of this paper is to consider the thermodynamically consistent anisotropic plasticity model based on full decomposition of stress tensor into generalized deviatoric part and generalized spherical part of stress tensor. Two fundamental tensors αij and βij, which represent anisotropic material properties, are defined and can be considered as generalizations of the Kronecker delta symbol, which plays the main role in the theory of isotropic materials. Using two fundamental tensors αij and βij, the concept of total generalized “pressure” and pressure corresponding to the volumetric deformation is redefined. It is shown that the formulation of anisotropic plasticity in the case of incompressible plastic flow must be considered independently from the generalized hydrostatic pressure. Accordingly, a modification to the anisotropic Hill criterion is introduced. Based on experimental research, which has been published, the modified Hill (1948, “A Theory of the Yielding and Plastic Flow of Anisotropic Metals  ,” Proc. R. Soc. London, Ser. A, 193(1033), pp. 281–297;1950, Mathematical Theory of Plasticity, Clarendon, Oxford) criterion for anisotropic elastoplasticity is validated. The results are presented and discussed, and future studies are outlined.

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Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

Grahic Jump Location
Figure 1

Yield stress versus direction: prediction and experimental data for AA7108-T1 (Hill-ID1, Hill-ID2, and Hill-TCM identifications)

Grahic Jump Location
Figure 2

Yield stress versus direction: prediction and experimental data for AA7108-T1 (Hill-ID1, Hill-ID2, and Hill-M identifications)

Grahic Jump Location
Figure 3

Yield stress versus direction: prediction and experimental data for AA6063-T1 (Hill-ID1, Hill-ID2, and Hill-TCM identifications)

Grahic Jump Location
Figure 4

Yield stress versus direction: prediction and experimental data for AA6063-T1 (Hill-ID1, Hill-ID2, and Hill-M identifications)

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