Numerical Analysis of Hydrogen Transport using a Hydrogen-Enhanced Localized Plasticity Mechanism
In this study, the hydrogen transport phenomenon was
numerically evaluated by using hydrogen-enhanced localized
plasticity (HELP) mechanisms. Two dominant governing equations,
namely, the hydrogen transport model and the elasto-plastic model,
were introduced. In addition, the implicitly formulated equations of
the governing equations were implemented into ABAQUS UMAT
user-defined subroutines. The simulation results were compared to
published results to validate the proposed method.
[1] C.S. Oh, Y.J. Kim, and K.B. Yoon, "Coupled analysis of hydrogen
transport using ABAQUS," J. Solid Mechanics and Materials
Engineering, vol. 4, 2010, pp. 908-917.
[2] H. Kanayama, M. Ogino, R. Miresmaeili, T. Nakagawa, and T. Toda,
"Hydrogen transport in a coupled elastoplastic-diffusion analysis near a
blunting crack tip," J. Computational Science and Technology, vol. 2,
2008, pp. 499-510.
[3] K. Takayama, R. Matsumoto, S. Taketomi, and N. Miyazaki, "Hydrogen
diffusion analyses of a cracked steel pipe under internal pressure," Int. J.
Hydrogen Energy, vol. 36, 2011, pp. 1037-1045.
[4] A. Taha and P. Sofronis, "A micromechanics approach to the study of
hydrogen transport and embrittlement," Engineering Fracture Mechanics,
vol. 68, 2001, pp. 803-837.
[5] J. Lufrano, P. Sofronis, and H.K. Birnbaum, "Modeling of hydrogen
transport and elastically accommodated hydride formulation near a crack
tip," J. Mechanics and Physics of Solids, vol. 44, 1996, pp. 179-205.
[6] J. Lufrano, P. Sofronis, and H.K. Birnbaum, "Elastoplastically
accommodated hydride formulation and embrittlement," J. Mechanics
and Physics of Solids, vol. 46, 1998, pp. 1497-1520.
[7] R.A. Oriani, and P.H. Josephic, "Equilibrium aspects of hydrogeninduced
cracking of steels," Acta Metallurgica, vol. 22, 1974, pp.
1065-1074.
[8] R.A. Oriani, and P.H. Josephic, "Equilibrium and kinetic studies of the
hydrogen-assisted cracking of steel," Acta Metallurgica, vol. 25, 1977, pp.
979-988.
[9] S.M. Myers, M.I. Baskes, H.K. Birnbaum, J.W. Corbett, G.G. Deleo, S.K.
Estreicher, E.E. Haller, P. Jena, N.M. Johnson, and R. Kirchheim,
"Hydrogen interaction with defects in crystalline solids," Reviews of
Modern Physics, vol. 64, 1992, pp. 559-617.
[10] T. Tabata, and H.K. Birnbaum, "Direct observation of the effect of
hydrogen on the behavior of dislocations in iron," Scripta Metallurgica,
vol. 17, 1983, pp. 947-950.
[11] H.K. Birnbaum, and P. Sofronis, "Hydrogen-enhanced localized
plasticity - a mechanism for hydrogen-related fracture," Materials
Science and Engineering A, vol. 176, 1994, pp. 191-202.
[12] H.K. Birnbaum, "Hydrogen effects on deformation - Relation between
dislocation behavior and the macroscopic stress-strain behavior," Scripta
Metallurgica et Materialia, vol. 31, 1994, pp. 149-153.
[13] P. Sofronis, and H.K. Birnbaum, "Mechanics of the hydrogendislocation-
impurity interactions - I. Increasing shear modulus," J.
Mechanics and Physics of Solids, vol. 43, 1995, pp. 49-90.
[14] P. Sofronis, R.M. McMeeking, "Numerical analysis of hydrogen
transport near a blunting crack tip," J. Mechanics and Physics of Solids,
vol. 37, 1989, pp. 317-350.
[15] A.H.M. Krom, R.W.J. Koers, and A. Bakker, "Hydrogen transport near a
blunting crack tip," J. Mechanics and Physics of Solids, vol. 47, 1999, pp.
971-992.
[16] H. Kanayama, T. Shingoh, S. Ndong-Mefane, M. Ogino, R. Shioya, and
H. Kawai, "Numerical analysis of hydrogen diffusion problems using the
finite element method," Theoretical and Applied Mechanics Japan, vol.
56, 2008, pp. 389-400.
[17] R. Miresmaeili, M. Ogino, T. Nakagawa, and H. Kanayama, "A coupled
elastoplastic-transient hydrogen diffusion analysis to simulate the onset
of necking in tension by using the finite element method," Int. J.
Hydrogen Energy, vol. 35, 2010, pp. 1506-1514.
[18] S.R. Bodner Unified Plasticity for Engineering Applications, New York,
Kluwer Academic and Plenum Publishers, 2002, pp. 1-114.
[1] C.S. Oh, Y.J. Kim, and K.B. Yoon, "Coupled analysis of hydrogen
transport using ABAQUS," J. Solid Mechanics and Materials
Engineering, vol. 4, 2010, pp. 908-917.
[2] H. Kanayama, M. Ogino, R. Miresmaeili, T. Nakagawa, and T. Toda,
"Hydrogen transport in a coupled elastoplastic-diffusion analysis near a
blunting crack tip," J. Computational Science and Technology, vol. 2,
2008, pp. 499-510.
[3] K. Takayama, R. Matsumoto, S. Taketomi, and N. Miyazaki, "Hydrogen
diffusion analyses of a cracked steel pipe under internal pressure," Int. J.
Hydrogen Energy, vol. 36, 2011, pp. 1037-1045.
[4] A. Taha and P. Sofronis, "A micromechanics approach to the study of
hydrogen transport and embrittlement," Engineering Fracture Mechanics,
vol. 68, 2001, pp. 803-837.
[5] J. Lufrano, P. Sofronis, and H.K. Birnbaum, "Modeling of hydrogen
transport and elastically accommodated hydride formulation near a crack
tip," J. Mechanics and Physics of Solids, vol. 44, 1996, pp. 179-205.
[6] J. Lufrano, P. Sofronis, and H.K. Birnbaum, "Elastoplastically
accommodated hydride formulation and embrittlement," J. Mechanics
and Physics of Solids, vol. 46, 1998, pp. 1497-1520.
[7] R.A. Oriani, and P.H. Josephic, "Equilibrium aspects of hydrogeninduced
cracking of steels," Acta Metallurgica, vol. 22, 1974, pp.
1065-1074.
[8] R.A. Oriani, and P.H. Josephic, "Equilibrium and kinetic studies of the
hydrogen-assisted cracking of steel," Acta Metallurgica, vol. 25, 1977, pp.
979-988.
[9] S.M. Myers, M.I. Baskes, H.K. Birnbaum, J.W. Corbett, G.G. Deleo, S.K.
Estreicher, E.E. Haller, P. Jena, N.M. Johnson, and R. Kirchheim,
"Hydrogen interaction with defects in crystalline solids," Reviews of
Modern Physics, vol. 64, 1992, pp. 559-617.
[10] T. Tabata, and H.K. Birnbaum, "Direct observation of the effect of
hydrogen on the behavior of dislocations in iron," Scripta Metallurgica,
vol. 17, 1983, pp. 947-950.
[11] H.K. Birnbaum, and P. Sofronis, "Hydrogen-enhanced localized
plasticity - a mechanism for hydrogen-related fracture," Materials
Science and Engineering A, vol. 176, 1994, pp. 191-202.
[12] H.K. Birnbaum, "Hydrogen effects on deformation - Relation between
dislocation behavior and the macroscopic stress-strain behavior," Scripta
Metallurgica et Materialia, vol. 31, 1994, pp. 149-153.
[13] P. Sofronis, and H.K. Birnbaum, "Mechanics of the hydrogendislocation-
impurity interactions - I. Increasing shear modulus," J.
Mechanics and Physics of Solids, vol. 43, 1995, pp. 49-90.
[14] P. Sofronis, R.M. McMeeking, "Numerical analysis of hydrogen
transport near a blunting crack tip," J. Mechanics and Physics of Solids,
vol. 37, 1989, pp. 317-350.
[15] A.H.M. Krom, R.W.J. Koers, and A. Bakker, "Hydrogen transport near a
blunting crack tip," J. Mechanics and Physics of Solids, vol. 47, 1999, pp.
971-992.
[16] H. Kanayama, T. Shingoh, S. Ndong-Mefane, M. Ogino, R. Shioya, and
H. Kawai, "Numerical analysis of hydrogen diffusion problems using the
finite element method," Theoretical and Applied Mechanics Japan, vol.
56, 2008, pp. 389-400.
[17] R. Miresmaeili, M. Ogino, T. Nakagawa, and H. Kanayama, "A coupled
elastoplastic-transient hydrogen diffusion analysis to simulate the onset
of necking in tension by using the finite element method," Int. J.
Hydrogen Energy, vol. 35, 2010, pp. 1506-1514.
[18] S.R. Bodner Unified Plasticity for Engineering Applications, New York,
Kluwer Academic and Plenum Publishers, 2002, pp. 1-114.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:62105", author = "Seul-Kee Kim and Chi-Seung Lee and Myung-Hyun Kim and Jae-Myung Lee", title = "Numerical Analysis of Hydrogen Transport using a Hydrogen-Enhanced Localized Plasticity Mechanism", abstract = "In this study, the hydrogen transport phenomenon was
numerically evaluated by using hydrogen-enhanced localized
plasticity (HELP) mechanisms. Two dominant governing equations,
namely, the hydrogen transport model and the elasto-plastic model,
were introduced. In addition, the implicitly formulated equations of
the governing equations were implemented into ABAQUS UMAT
user-defined subroutines. The simulation results were compared to
published results to validate the proposed method.", keywords = "Hydrogen-enhanced localized plasticity (HELP),
Hydrogen embrittlement, Hydrogen transport analysis, ABAQUS
UMAT, Finite element method (FEM).", volume = "6", number = "1", pages = "90-4", }
