In this paper, cyclic plastic behaviors of pressure-sensitive materials based on an anisotropic hardening rule with two non-associated flow rules are examined. The Drucker-Prager pressure-sensitive yield function and the Mises plastic potential function are adopted to explore the cyclic plastic behaviors of pressure-sensitive materials or strength-differential materials. The constitutive relations are formulated for the initial loading and unloading/reloading processes based on the anisotropic hardening rule of Choi and Pan [1]. Non-associated flow rules are employed to derive closed-form stress-plastic strain relations under uniaxial cyclic loading conditions. The stress-plastic strain curves based on a conventional non-associated flow rule do not close, and show a significant ratcheting under uniaxial cyclic loading conditions. A new non-conventional non-associated flow rule is then formulated based on observed nearly closed hysteresis loops of pressure-sensitive materials. The stress-plastic strain curves based on the non-conventional non-associated flow rule show closed hysteresis loops under uniaxial cyclic loading conditions. The results indicate that the anisotropic hardening rule with the non-conventional non-associated flow rule describes well the strength-differential effect and the asymmetric closed hysteresis loops as observed in the uniaxial cyclic loading tests of pressure-sensitive materials.
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ASME 2009 Pressure Vessels and Piping Conference
July 26–30, 2009
Prague, Czech Republic
Conference Sponsors:
- Pressure Vessels and Piping
ISBN:
978-0-7918-4369-7
PROCEEDINGS PAPER
An Anisotropic Hardening Rule With Non-Associated Flow Rule for Pressure-Sensitive Materials
K. S. Choi,
K. S. Choi
The University of Michigan, Ann Arbor, MI
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J. Pan
J. Pan
The University of Michigan, Ann Arbor, MI
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K. S. Choi
The University of Michigan, Ann Arbor, MI
J. Pan
The University of Michigan, Ann Arbor, MI
Paper No:
PVP2009-77951, pp. 159-166; 8 pages
Published Online:
July 9, 2010
Citation
Choi, KS, & Pan, J. "An Anisotropic Hardening Rule With Non-Associated Flow Rule for Pressure-Sensitive Materials." Proceedings of the ASME 2009 Pressure Vessels and Piping Conference. Volume 6: Materials and Fabrication, Parts A and B. Prague, Czech Republic. July 26–30, 2009. pp. 159-166. ASME. https://doi.org/10.1115/PVP2009-77951
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